Supergravity description of field theories on curved manifolds and a no go theorem

Juan Maldacena; Carlos Nunez

doi:10.1142/S0217751X01003937

paper

Supergravity description of field theories on curved manifolds and a no go theorem

arXiv:hep-th/0007018 · doi:10.1142/S0217751X01003937

Abstract

In the first part of this paper we find supergravity solutions corresponding to branes on worldvolumes of the form $R^{d} \times Σ$ where $Σ$ is a Riemann surface. These theories arise when we wrap branes on holomorphic Riemann surfaces inside $K 3$ or CY manifolds. In some cases the theory at low energies is a conformal field theory with two less dimensions. We find some non-singular supersymmetric compactifications of M-theory down to $A d S_{5}$ . We also propose a criterion for permissible singularities in supergravity solutions. In the second part of this paper, which can be read independently of the first, we show that there are no non-singular Randall-Sundrum or de-Sitter compactifications for large class of gravity theories.

latex, 37 pages. v2: References added

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Holographic duals of SQCD models in low dimensions
Warped Ricci-flat reductions
Braneworld localisation in hyperbolic spacetime
Surveying 4d SCFTs twisted on Riemann surfaces
Membrane Quantum Mechanics
$T$ -dualizing the de-Sitter no-go scenarios
Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge
Time reversal and $CP$ invariance in Calabi-Yau compactifications
That's a wrap!
On String Junctions in Supersymmetric Gauge Theories
Generalized geometry of two-dimensional vacua
Constructing stable de Sitter in M-theory from higher curvature corrections
Coincident brane nucleation and the neutralization of Λ
BPS domain walls from backreacted orientifolds
Comments on $A d S_{2}$ solutions from M2-branes on complex curves and the backreacted Kähler geometry
AdS $_{5}$ black strings in the stu model of FI-gauged $N = 2$ supergravity
Matrix Models and Holography: Mass Deformations of Long Quiver Theories in 5d and 3d
Enhanced Instability of de Sitter Space in Einstein-Gauss-Bonnet Gravity
Deforming, revolving and resolving - New paths in the string theory landscape
String Theory: exact solutions, marginal deformations and hyperbolic spaces
On the 4D effective theory in warped compactifications with fluxes and branes
Massive flows in AdS $_{6}$ /CFT $_{5}$
Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
New nonabelian solutions in D=4, N=4 gauged supergravity
M2-branes wrapped on holomorphic curves
$N = (1, 1)$ supersymmetric AdS $_{3}$ in 10 dimensions
No-Go theorems for ekpyrosis from ten-dimensional supergravity
Branes in Special Holonomy Backgrounds
Generalising G $_{2}$ geometry: involutivity, moment maps and moduli
Supersymmetric $A d S_{5}$ black holes and strings from 5D $N = 4$ gauged supergravity
M2-branes wrapped on a topological disk
Warped de Sitter compactifications
Holographic RG Flows for Four-dimensional $N = 2$ SCFTs
Inside an Enhancon: Monopoles and Dual Yang-Mills Theory
Bifundamental Fuzzy 2-Sphere and Fuzzy Killing Spinors
6D (1,1) Gauged Supergravities from Orientifold Compactifications
Cosmology from String Theory
Lifshitz flows in IIB and dual field theories
M5-branes on S^2 x M_4: Nahm's Equations and 4d Topological Sigma-models
Moduli stabilization in 5D gauged supergravity with universal hypermultiplet and boundary superpotentials
Line defects as brane boxes in Gaiotto-Maldacena geometries
Dynamical systems analysis of the cubic galileon beyond the exponential potential and the cosmological analogue of the vDVZ discontinuity
Holographic RG flows and $A d S_{5}$ black strings from 5D half-maximal gauged supergravity
$T^{1, 1}$ truncation on the spindle
A no-go for no-go theorems prohibiting cosmic acceleration in extra dimensional models
Breaking supersymmetry with pure spinors
Linking Light Scalar Modes with A Small Positive Cosmological Constant in String Theory
Gravity from thermodynamics: optimal transport and negative effective dimensions
Time warps
Localized Intersections of Non-Extremal p-branes and S-branes
Lifshitz black holes in IIA supergravity
The Backreacted Kähler Geometry of Wrapped Branes
AdS5 Backgrounds with 24 Supersymmetries
Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
On Newton's law in supersymmetric braneworld models
Consistency of Scalar Potentials from Quantum de Sitter Space
Curing with hemlock: escaping the swampland using instabilities from string theory
Revisiting toric SU(3) structures
Supersymmetric solutions from N=5 gauged supergravity
On K3-fibred LARGE Volume Scenario with de Sitter vacua from anti-D3-branes
Thermal and quantum superstring cosmologies
Stable de Sitter Vacua in 4 Dimensional Supergravity Originating from 5 Dimensions
Holographic Cosmic Quintessence on Dilatonic Brane World
Five dimensional 2-branes from special Lagrangian wrapped M5-branes
Nonabelian solutions in N=4, D=5 gauged supergravity
Leaps and bounds towards scale separation
EFT for Vortices with Dilaton-dependent Localized Flux
Missing Mirrors: Type IIA Supergravity on the Resolved Conifold
Singularity Resolution in Gauged Supergravity and Conifold Unification
RG flows from (1,0) 6D SCFTs to N=1 SCFTs in four and three dimensions
The inheritance of energy conditions: Revisiting no-go theorems in string compactifications
Resurgence of a de Sitter Glauber-Sudarshan State: Nodal Diagrams and Borel Resummation
Four-Dimensional Einstein Yang-Mills De Sitter Gravity From Eleven Dimensions
Fluctuation and Dissipation from a Deformed String/Gauge Duality Model
A no-go theorem for accelerating cosmologies from M-theory compactifications
$α^{'}$ -Corrections and de Sitter Vacua - a Mirage?
The warping of extra spaces accelerates the expansion of the universe
Holographic Uniformization and Black Hole Attractors
Wrapped branes with fluxes in 8d gauged supergravity
Cosmographic analysis of sign-switching dark energy
On stable type IIA de-Sitter vacua with geometric flux
Simple cosmological de Sitter solutions on dS $_{4} \times Y_{6}$ spaces
Anatomy of new SUSY breaking holographic RG flows
Supersymmetric solutions from N=6 gauged supergravity
The higher-dimensional origin of five-dimensional $N = 2$ gauged supergravities
Gravity duals of N=2 SCFTs and asymptotic emergence of the electrostatic description
Consistent truncations to 3-dimensional supergravity
A Note on the dS Swampland Conjecture, Non-BPS branes and K-theory
Gravitational backreaction of anti-D branes in the warped compactification
A Brief Comment on Instanton-like Singularities and Cosmological Horizons
Type IIB on $S^{3} \times S^{3}$ through $Q$ & $P$ fluxes
Generalized geometric vacua with eight supercharges
Linear Quivers at Large- $N$
N = 2 SCFTs: An M5-brane perspective
How a four-dimensional de Sitter solution remains outside the swampland
Holographic Hadrons in a Confining Finite Density Medium
Fragmentation and defragmentation of strings in type IIA and their holographic duals
Tadpole conjecture in non-geometric backgrounds
Kutasov-like duality from D5-branes wrapping hyperbolic cycles
Resolved Branes and M-theory on Special Holonomy Spaces
Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity
Supersymmetric solutions from matter-coupled 7D N=2 gauged supergravity
Non-critical anisotropic Bianchi type $I$ string cosmology with $α^{'}$ -corrections
Compact objects and the swampland
Supersymmetric AdS $_{2} \times Σ_{2}$ solutions from tri-sasakian truncation
Cosmological Perturbations in Flux Compactifications
Seeking de-Sitter Vacua in the String Landscape
5d Black holes, wrapped fivebranes and 3d Chern-Simons Super Yang-Mills
Geometric non-geometry
A novel cross-check of localization and non conformal holography
Space-like branes, accelerating cosmologies and the near `horizon' limit
Oh, wait, O8 de Sitter may be unstable!
Warped compactification on curved manifolds
Swampland de Sitter Conjectures in No-Scale Supergravity Models
Twisted compactifications of 6D field theories from maximal 7D gauged supergravity
c-extremization from toric geometry
Nonlinear symmetries of black hole entropy in gauged supergravity
Holographic RG flows and Janus solutions from matter-coupled N=4 gauged supergravity
Gravity duals of N=(0,2) SCFTs from M5-branes
Attractors, black objects, and holographic RG flows in 5d maximal gauged supergravities
Entanglement and Topology in RG Flows Across Dimensions: Caps, Bridges and Corners
Sculpting the Extra Dimensions: Inflation from Codimension-2 Brane Back-reaction
Harmonic functions and gravity localization
Taub-NUT Crystal
Some No-go Theorems for String Duals of Non-relativistic Lifshitz-like Theories
A Holographic Kaleidoscope for $N = 1^{*}$
Deformations of flows from type IIB supergravity
N=1* in 5 dimensions: Dijkgraaf-Vafa meets Polchinski-Strassler
From wrapped M-branes to Calabi-Yau black holes and strings
Superconformal Quantum Mechanics from M2-branes
Supersymmetric domain walls in 7D maximal gauged supergravity
M-Theory on Seven Manifolds with G-fluxes
Late transient acceleration of the universe in string theory on $S^{1} / Z_{2}$
AdS Vacua, Attractor Mechanism and Generalized Geometries
Consistent truncation and de Sitter space from gravitational instantons
Relative scale separation in orbifolds of $S^{2}$ and $S^{5}$
Eternally accelerating spacelike braneworld cosmologies
Walking solutions in the string background dual to N=1 SQCD-like theories
D-branes in some near-horizon geometries
Cosmic eggs to relax the cosmological constant
A Simple System For Coleman-De Luccia Transitions
Warped AdS $_{3}$ , dS $_{3}$ and flows from $N = (0, 2)$ SCFTs
Noncompact gauging of N=2 7D supergravity and AdS/CFT holography
Hypermultiplet gaugings and supersymmetric solutions from 11D and massive IIA supergravity on H $^{(p, q)}$ spaces
Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale Relation
Twisted compactification of N=2 5D SCFTs to three and two dimensions from F(4) gauged supergravity
Two-dimensional superconformal field theories from Riemann surfaces with boundary
Negative Complexity of Formation: the Compact Dimensions Strike Back
M-theory on non-Kähler manifolds
Interplay between Swampland and Bayesian Machine Learning in constraining cosmological models
Comments on chiral algebras and $Ω$ -deformations
Gravity duals of 2d supersymmetric gauge theories
Lectures in Quantum Gravity
Brane inflation driven by an arctan potential: CMB constraints and Reheating
Some half-BPS solutions of M-theory
dS Spaces and Brane Worlds in Exotic String Theories
Exceptional complex structures and the hypermultiplet moduli of 5d Minkowski compactifications of M-theory
Consistency conditions for O-plane unsmearing from second-order perturbation theory
Beyond LLM in M-theory
Thick Braneworlds and the Gibbons-Kallosh-Linde No-go Theorem in the Gauss-Bonnet Framework
On the solutions to accelerating cosmologies
Quantum Cosmology in Four Dimensions
A Positive Cosmological Constant in String Theory Through Ads/CFT Wormholes
Kähler Uniformization from Holographic Renormalization Group Flows of M5-branes
Charges and the boundary in Chern Simons gravity
Exploring a simple sector of the Einstein-Maxwell landscape
Inflationary Cosmology via Quantum Corrections in M-theory
What if string theory has a de Sitter excited state?
Constraints on warped compactifications
Gravity Dual of Two-Dimensional $N = (2, 2)^{*}$ Supersymmetric Yang-Mills Theory and Integrable Models
Backreacted flavor in non-commutative gauge theories
Deriving the Gibbons-Maldacena-Nunez no-go theorem from the Raychaudhuri equation
Cosmic Acceleration in Massive Half-Maximal Supergravity
D-Flation
The universe formation by a space reduction cascade with random initial parameters
de Sitter Holography and Carrollian Brane Theories
Bulk/boundary Modular Quintessence and DESI
Uplift and towers of states in warped throat
All supersymmetric solutions of 3D U(1) $^{3}$ gauged supergravity
Coisotropic D-branes on AdS4 x CP3 and massive deformations
Spiky strings in de Sitter space
On Stringy de Sitter Spacetimes
Brane cosmology in the Horava-Witten heterotic M-Theory on $S^{1} / Z_{2}$
Field Theory Operator Encoding in N=2 Geometries
Two-dimensional SCFTs from matter-coupled 7D N=2 gauged supergravity
Higher-dimensional field theories from type II supergravity
Do we live on the End of the World?
Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
On the limitations of non-geometric fluxes to realize dS vacua
Line and surface defects in 5D N=2 SCFT from matter-coupled F(4) gauged supergravity
Trans-Planckian censorship constraints on properties and cosmological applications of axion-like fields
Multi-scalar tachyon potential on non-BPS domain walls
$c$ -functions in Higher-derivative Flows Across Dimensions
Supergravity backgrounds corresponding to D7 branes wrapped on Kahler manifolds
Dynamical Compactification with Matter
Hopf-Wess-Zumino term in the effective action of the 6d, (2, 0) field theory revisted
Inflation from String/M-Theory Compactification?
Deriving the Inflaton in Compactified M-theory with a De Sitter Vacuum
Topological resolution of gauge theory singularities
Inflation in maximal gauged supergravities
4D dS vacua from AdS vacua of type IIB string theory and AdS distance conjecture
Comments on the T-dual of the gravity dual of D5-branes on $S^{3}$
Aether, Dark Energy, and String Compactifications
Non-perturbative scalar potential inspired by type IIA strings on rigid CY
The Heterotic Enhancon
Mink $_{4} \times S^{2}$ Solutions of 10 and 11 Dimensional Supergravity
Potential for the slow-roll inflation, mass scale hierarchy and Dark Energy from the Type IIA supergravity
Magnetically-charged supersymmetric flows of gauged $N = 8$ supergravity in five dimensions
Phenomenology from the Landscape of String Vacua
Supersymmetric quantum mechanics from wrapped branes
de Sitter State in Heterotic String Theory
Construction of 4d SYM compactified on open Riemann surfaces by the superfield formalism
Vacuum Selection on the String Landscape
4d $N = 1$ /2d Yang-Mills Duality in Holography
Integrable Cosmological Models From Higher Dimensional Einstein Equations
Supersymmetry and Vacuum Energy in Five-Dimensional Brane Worlds
Space-time filling branes in non critical (super) string theories
On Toda Equation and Half BPS Supergravity Solution in M-Theory
Magnetically charged AdS5 black holes from class S theories on hyperbolic 3-manifolds
Conformally de Sitter space from anisotropic SD3-brane of type IIB string theory
Critical distance and Crofton form in confining geometries
String amplitudes and mutual information in confining backgrounds: the partonic behavior
Supersymmetric $d S_{n}$ solutions for $n \geq 5$ in $D = 11$ supergravity
Wrapped NS5-Branes, Consistent Truncations and Inönü-Wigner Contractions
Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua
New supersymmetric $A d S_{5}$ black strings from 5D $N = 4$ gauged supergravity
Marginal Deformations of Non-Relativistic Field Theories
Lectures on Naturalness, String Landscape and Multiverse
No-Go Theorems on Localization of Gravity around Higher Codimensional Branes in Noncompact Extra Dimensions
Twisted compactifications and conformal defects from ISO(3)xU(1) F(4) gauged supergravity
Matrix models and non-Abelian T dual of $A d S_{5} \times S^{5}$
The Role of Initial Conditions in Presence of Extra Dimensions
Towards New Classes of Flux Compactifications
M-theory compactifications on hyperbolic spaces
The string theory swampland in the Euclid, SKA and Vera Rubin observatory era
Supergravity Fluxes and Generalised Geometry
Holographic duality and applications
The topologically twisted index of $N = 4$ SU( $N$ ) Super-Yang-Mills theory and a black hole Farey tail
Cheeger bounds on spin-two fields
De Sitter Bounces
Umbral Moonshine and String Duality
Inverting geometric transitions: explicit Calabi-Yau metrics for the Maldacena-Nunez solutions
On gauged linear sigma models with torsion
Eternally inflating cosmologies from intersecting spacelike branes
A class of non-geometric M-theory compactification backgrounds
On the boundedness of effective potentials arising from string compactifications
Cosmology with Twisted Tori
Generalised Geometry and Flux Vacua
New Solution of D=11 Supergravity on S^7 from D=4
Warped de Sitter compactifications in the scalar-tensor theory
Central charges of wrapped M5-brane backgrounds
Smooth Cosmologies from M-theory
O(16) $\times$ O(16) heterotic theory on $A d S_{3} \times S^{3} \times T^{4}$
Some Properties of Pole Solution in Six Dimensions
Wrapped M5-branes and AdS $_{5}$ Black Holes
Orbifold Branes in the $M_{D} \times M_{d^{+}} \times M_{d^{-}}$ Compactification of type II string on $S^{1} / Z_{2}$ and their cosmological applications
Anisotropic SD2 brane: accelerating cosmology and Kasner-like space-time from compactification
Stable Bianchi III attractor in $U (1)_{R}$ gauged supergravity
Spectrum from the warped compactifications with the de Sitter universe
de Sitter Entropy from a lower dimensional black hole
dS Solutions with co-dimension two branes in six dimensions
Natural solution of SUSY $μ$ problem from modulus stabilization in modular flavor model
Near-Horizon geometry from flux compactification
Remarks on positive energy vacua via effective potentials in string theory
Theories of Class S and New N=1 SCFTs
On the Carroll-Chen Model
Towards an explicit construction of de Sitter solutions in classical supergravity
Supersymmetric Black Holes in AdS4 from Very Special Geometry
The four-dimensional null energy condition as a swampland conjecture
$d S_{5}$ vacua from matter-coupled 5D N=4 gauged supergravity
String theory: an update
Phases of Braneworlds, Spinning D3-branes and Strongly-Coupled Gauge Theories
Vacua scan of $5 d$ , $N = 2$ consistent truncations
One-loop effective potential in Scherk-Schwarz compactifications of pure d=5 supergravities
Universal dS vacua in STU-models
Stability of S-brane singular solutions and expansion of the universe
On the Stability of Non-Extremal Conifold Backgrounds with Sources
Scalar Cosmological Perturbations in M-theory with Higher Derivative Corrections
Soft supersymmetry breaking with tiny cosmological constant in flux compactified N=1 Supergravity
Explicit Entropic Proofs of Irreversibility Theorems for Holographic RG Flows
Generalized Geometry and Partial Supersymmetry Breaking
Supersymmetric dS4 solutions in D=11 supergravity
Generalization of Instanton-Induced Inflation and Dynamical Compactification
Applications of String Theory: Non-perturbative Effects in Flux Compactifications and Effective Description of Statistical Systems
Holographic RG flows and Janus interfaces from ISO(3)xU(1) F(4) gauged supergravity
On the four-dimensional effective theories in brane-worlds
Probing Maldacena-Nunez in IR with $D ˉ 3$ branes
A Computational Companion to Transient de Sitter and Quasi de Sitter States in SO(32) and E_8 X E_8 Heterotic String Theories I: Formalisms
Wrapped D4-branes from maximal 6D gauged supergravity
Smooth tensionful higher-codimensional brane worlds with bulk and brane form fields
Dark Energy in String Theory
$d S_{4}$ vacua from matter-coupled 4D N=4 gauged supergravity
Janus and RG-flow interfaces from 5D N=4 gauged supergravity
Manifestations of String Theory in Astrophysical Data and at the LHC
PhD Thesis: String theory in the early universe
BPS pp-wave brane cosmological solutions in string theory
Cosmological aspects of gauge mediated supersymmetry breakdown
D-branes, gauge/string duality and noncommutative theories
Holographic solutions from 5D $S O (2) \times I S O (3)$ $N = 4$ gauged supergravity
Cosmological Perturbations via Quantum Corrections in M-theory
$S p in (7)$ Compactifications and 1/4-BPS Vacua in Heterotic Supergravity
$ϕ^{4}$ model on a circle
Aspects of moduli stabilization in type IIB string theory
$D = 11$ $d S_{5}$ backgrounds with enhanced supersymmetry
A uniqueness theorem for warped $N > 16$ Minkowski backgrounds with fluxes
Systematic exploration of the non-geometric flux landscape
Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics
Exactly Marginal Deformations and their Supergravity Duals
Supersymmetric solutions on SU(4)-structure deformed Stenzel space
Type IIB 2-form Fields and Gauge Coupling Constant of 4D N=2 super QCD
Nonrelativistic strings and the limits of $N = 2$ dualities
Fluxes, Tadpoles and Holography for N=1 Super Yang Mills
5D supersymmetric domain wall solution with active hyperscalars and mixed AdS/non-AdS asymptotics
Large $N$ limits of supersymmetric quantum field theories: A pedagogical overview
Electroweak Quintessence Axion as Dark Energy
Holographic zero sound for $N = 2$ SCFTs in 4d
Geometrical Aspects of AdS/CFT
Supersymmetric quantum mechanics from wrapped D4-branes
M5-branes wrapped on four-dimensional orbifolds
Background instability of quintessence model in light of entropy and distance conjecture
Non-unimodular reductions and N = 4 gauged supergravities
Factorised scattering and (non)integrability for marginally deformed $A d S_{5} / C F T_{4}$
Accelerating Cosmologies with Extended Product Spaces
Confining strings, Wilson loops and extra dimensions
Time Dependent String Compactification: Towards Bouncing Cosmology