CFT's From Calabi-Yau Four-folds
arXiv:hep-th/9906070 · doi:10.1016/S0550-3213(00)00373-4
Abstract
We consider F/M/Type IIA theory compactified to four, three, or two dimensions on a Calabi-Yau four-fold, and study the behavior near an isolated singularity in the presence of appropriate fluxes and branes. We analyze the vacuum and soliton structure of these models, and show that near an isolated singularity, one often generates massless chiral superfields and a superpotential, and in many instances in two or three dimensions one obtains nontrivial superconformal field theories. In the case of two dimensions, we identify some of these theories with certain Kazama-Suzuki coset models, such as the N=2 minimal models.
52 pages, analysis of compactifications with (0,4) G-flux has been corrected in Appendix II, related corrections in section 2.4
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Cited by in corpus (742)
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- Effective action from M-theory on twisted connected sum -manifolds
- Branches of N=1 Vacua and Argyres-Douglas Points
- De Sitter vacua from a D-term generated racetrack potential in hypersurface Calabi-Yau compactifications
- Type IIA Flux Vacua with Mobile D6-branes
- Consistent de Sitter String Vacua from Kahler Stabilization and D-term uplifting
- Gravitational Wave Constraints on Multi-Brane Inflation
- Phases of N=1 Supersymmetric SO/Sp Gauge Theories via Matrix Model
- On Asymptotic Dark Energy in String Theory
- A Small Cosmological Constant, Grand Unification and Warped Geometry
- The world next door - Results in landscape topography
- Critical Non-Abelian Vortex in Four Dimensions and Little String Theory
- Metastable Quivers in String Compactifications
- Small flux superpotential in F-theory compactifications
- Resolving spacetime singularities in flux compactifications & KKLT
- Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
- String GUT Scenarios with Stabilised Moduli
- Inflation on an Open Racetrack
- Natural Inflation and Low Energy Supersymmetry
- Metastable Vacua and the Backreacted Stenzel Geometry
- String Moduli Stabilization at the Conifold
- Dictionary for the type II nongeometric flux compactifications
- Stabilising all Kähler moduli in perturbative LVS
- D(-1)-Instanton Superpotential In String Theory
- Gepner-like Description of a String Theory on a Noncompact Singular Calabi-Yau Manifold
- Affleck-Dine Baryogenesis in Type IIB String Models
- M5-brane geometries, T-duality and fluxes
- Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
- Flux Superpotential in Heterotic M-theory
- On the Flux Vacua in F-theory Compactifications
- Universal Axion Backreaction in Flux Compactifications
- Crisis on Infinite Earths: Short-lived de Sitter Vacua in the String Theory Landscape
- Moduli Stabilisation and the Statistics of SUSY Breaking in the Landscape
- Racetrack Potentials and the de Sitter Swampland Conjectures
- Hadrons of N=2 Supersymmetric QCD in Four Dimensions from Little String Theory
- Preference for a Vanishingly Small Cosmological Constant in Supersymmetric Vacua in a Type IIB String Theory Model
- Curvatures and potential of M-theory in D=4 with fluxes and twist
- Brane Inflation, Solitons and Cosmological Solutions: I
- Classification of N=2 supersymmetric CFT_{4}s: Indefinite Series
- N=1 Gauge Theory with Flavor from Fluxes
- Type IIA and Heterotic String Vacua in D=2
- An Effective Description of the Landscape - II
- On supersymmetric Minkowski vacua in IIB orientifolds
- Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
- Four Kahler Moduli Stabilisation in type IIB Orientifolds with K3-fibred Calabi-Yau threefold compactification
- Non-perturbative vacua for M-theory on G2 manifolds
- N=1 domain wall solutions of massive type II supergravity as generalized geometries
- Warping and F-term uplifting
- Heterotic-Type I Dual Pairs, Rigid Branes and Broken Susy
- Homological Classification of 4d QFT. Part I: Rank-1 revisited
- Strings on Eight-Orbifolds
- Manifolds of G_2 Holonomy from N=4 Sigma Model
- Gauge Groups and Matter Fields on Some Models of F-theory without Section
- Thraxions: Towards Full String Models
- Lobotomy of Flux Compactifications
- Five-Brane Superpotentials, Blow-Up Geometries and SU(3) Structure Manifolds
- Note on de Sitter vacua from perturbative and non-perturbative dynamics in type IIB/F-theory compactifications
- Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
- Studying Critical String Emerging from Non-Abelian Vortex in Four Dimensions
- Sharpening the Boundaries Between Flux Landscape and Swampland by Tadpole Charge
- On Non-Gaussianities in Two-Field Poly-Instanton Inflation
- Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
- Non-tachyonic Scherk-Schwarz compactifications, cosmology and moduli stabilization
- Spontaneous N=2 -> N=1 Supergravity Breaking in Three Dimensions
- Twisted tori and fluxes: a no go theorem for Lie groups of weak G_2 holonomy
- Brane/flux annihilation transitions and nonperturbative moduli stabilization
- Stability of flux vacua in the presence of charged black holes
- On the Effective Description of Large Volume Compactifications
- Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
- Warped generalized geometry compactifications, effective theories and non-perturbative effects
- Supercoset CFT's for String Theories on Non-compact Special Holonomy Manifolds
- Finiteness and the Emergence of Dualities
- The Spectra of Type IIB Flux Compactifications at Large Complex Structure
- Universal Properties of Type IIB and F-theory Flux Compactifications at Large Complex Structure
- Persistent Homology and String Vacua
- Hybrid inflation and waterfall field in string theory from D7-branes
- Gopakumar-Vafa Hierarchies in Winding Inflation and Uplifts
- Universal isolation in the AdS landscape
- Non-geometric fluxes & tadpole conditions for exotic branes
- Accidental Inflation from Kähler Uplifting
- Superpotentials from Singular Divisors
- Type IIB flux compactifications with
- Supersymmetry Breaking with Zero Vacuum Energy in M-Theory Flux Compactifications
- Inflationary de Sitter solutions from superstrings
- Partition function of non-supersymmetric black holes in the supergravity limit
- Generalising G geometry: involutivity, moment maps and moduli
- Lifetime of Stringy de Sitter Vacua
- One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
- Two-field constant roll inflation
- Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
- Low energy supersymmetry from R-symmetries
- Geometric Transitions on non-Kaehler Manifolds
- The Ricci Curvature of Half-flat Manifolds
- Towards a complete mass spectrum of type-IIB flux vacua at large complex structure
- Superpotentials for M-theory on a G_2 holonomy manifold and Triality symmetry
- The Hitchhiker's Guide to 4d Superconformal Field Theories
- Systematics of perturbatively flat flux vacua
- Developments of theory of effective prepotential from extended Seiberg-Witten system and matrix models
- On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential
- Flux Vacua and Modularity for Symmetric Calabi-Yau Manifolds
- Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum
- Higher Forms and Membranes in 4D Supergravities
- Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
- Embedding Fractional Quantum Hall Solitons in M-theory Compactifications
- Quantum Corrections to Heterotic Moduli Potentials
- Flops of any length, Gopakumar-Vafa invariants, and 5d Higgs Branches
- On N=1 gauge models from geometric engineering in M-theory
- An Observational Test of Holographic Inflation
- Phases of N=1 SO(N_c) Gauge Theories with Flavors
- Comments on domain walls in holographic duals of mass deformed conformal field theories
- Symplectic formulation of the type IIA nongeometric scalar potential
- On Open Membranes, Cosmic Strings and Moduli Stabilization
- Dynamical Fine Tuning in Brane Inflation
- Geometric Constructions of Two Dimensional (0,2) SUSY Theories
- Flux and Freund-Rubin Superpotentials in M-theory
- On the Search for Low
- Chiral global embedding of Fibre Inflation with uplift
- -Corrections and de Sitter Vacua - a Mirage?
- Brane Resolution and Gravitational Chern-Simons terms
- Systematics of Moduli Stabilization, Inflationary Dynamics and Power Spectrum
- ADE Singularities and Coset Models
- Type IIB Flux Vacua from M-theory via F-theory
- Moduli Stabilization in Toroidal Type IIB Orientifolds
- Power of Black Hole Physics: Seeing through the Vacuum Landscape
- Scalar geometry and masses in Calabi-Yau string models
- A Landscape of AdS Flux Vacua
- Fully stabilized Minkowski vacua in the Landau-Ginzburg model
- Non-perturbative moduli superpotential with positive exponents
- K3 surfaces without section as double covers of Halphen surfaces, and F-theory compactifications
- Dynamics of warped flux compactifications with backreacting anti-branes
- Kähler moduli stabilization in semi-realistic magnetized orbifold models
- Calabi-Yau Manifolds and SU(3) Structure
- Moduli stabilization in type II Calabi-Yau compactifications at finite temperature
- Toward the Gravity Dual of Heterotic Small Instantons
- Mirror Symmetry and Landau Ginzburg Calabi-Yau Superpotentials in F-theory Compactifications
- Inflating in perturbative LVS: Global Embedding and Robustness
- Gauging Away the Strong CP Problem
- Stabilizing massless fields with fluxes in Landau-Ginzburg models
- Common origin of the strong CP and CKM phases in string compactifications
- Holomorphic Couplings In Non-Perturbative String Compactifications
- Supersymmetric Tools in Yang-Mills Theories at Strong Coupling: the Beginning of a Long Journey
- Smearing and Unsmearing KKLT AdS Vacua
- Kalb-Ramond backgrounds in -complete cosmology
- Gauge/gravity duality and the interplay of various fractional branes
- Brane gas-driven bulk expansion as a precursor stage to brane inflation
- Single field slow-roll effective potential from Kähler moduli stabilizations in type IIB/F-theory
- Comments on M representations and geometries
- Freezing of Moduli with Fluxes in Three Dimensions
- Seeking de-Sitter Vacua in the String Landscape
- Radiative Kähler moduli stabilization
- Restrictions on infinite sequences of type IIB vacua
- Flux Attractors and Generating Functions
- Shift-symmetries and gauge coupling functions in orientifolds and F-theory
- Compact objects and the swampland
- QCD Axion as a Bridge Between String Theory and Flavor Physics
- Finiteness of Flux Vacua from Geometric Transitions
- Tadpole conjecture in non-geometric backgrounds
- Axion Stabilization in Type IIB Flux Compactifications
- A Heterotic Flux Background and Calibrated Five-Branes
- F-theory models with 3 to 8 U(1) factors on K3 surfaces
- Comments on D-branes in Kazama-Suzuki models and Landau-Ginzburg theories
- Coset Character Identities in Superstring Compactifications
- On nonsupersymmetric $\BC^4/\BZ_N$, tachyons, terminal singularities and flips
- M-theory FDA, Twisted Tori and Chevalley Cohomology
- Remark on Calabi-Yau vacua of the string theory and the cosmological constant problem
- Heterotic/Heterotic and Heterotic/F-theory Duality
- Metastable Flux Configurations and de Sitter Spaces
- Axion and Neutrino physics in a -enhanced supersymmetric model
- Catastrophic Inflation
- F-theory models with and transitions in discrete gauge groups
- Warming up the Fibres
- A new class of de Sitter vacua in String Theory Compactifications
- Deformation of Dijkgraaf-Vafa Relation via Spontaneously Broken N=2 Supersymmetry
- Structure of stable degeneration of K3 surfaces into pairs of rational elliptic surfaces
- Black Holes and Fourfolds
- Dilaton stabilization in KKLT revisited
- Towards a warped inflationary brane scanning
- Purely non-perturbative AdS vacua and the swampland
- Aligned Natural Inflation in the Large Volume Scenario
- Special Lagrangian cycles and Calabi-Yau transitions
- Natural F-theory constructions of Standard Model structure from flux breaking
- Systematics of perturbatively flat flux vacua for CICYs
- Generating functions for intersection products of divisors in resolved F-theory models
- Flux Compactification of M-theory on Compact Manifolds with Spin(7) Holonomy
- Constraints from F and D supersymmetry breaking in general supergravity theories
- Cosmic superstrings in large volume compactifications: PTAs, LISA and time-varying tension
- Gauge symmetry breaking with fluxes and natural Standard Model structure from exceptional GUTs in F-theory
- (Fractional) Intersection Numbers, Tadpoles and Anomalies
- Supersymmetry Partial Breaking and Tadpole Anomaly
- On Mirror Symmetry for Calabi-Yau Fourfolds with Three-Form Cohomology
- On Flux Compactification and Moduli Stabilization
- Bagger-Witten line bundles on moduli spaces of elliptic curves
- Chern-Simons Invariants and Heterotic Superpotentials
- Baryon as Impurity for Phase Transition in String Landscape
- Bare-Bones de Sitter
- Large U(1) charges from flux breaking in 4D F-theory models
- Lie algebroids, non-associative structures and non-geometric fluxes
- Uplift and towers of states in warped throat
- Constructing and Machine Learning Calabi-Yau Five-folds
- Gauge origami and quiver W-algebras III: Donaldson--Thomas -characters
- SL(2,R) covariant conditions for N=1 flux vacua
- Fluxes, Gaugings and Gaugino Condensates
- On Building superpotentials in F- GUTs
- Dualities of Deformed SCFTs from Link Monodromy on D3-brane States
- Moduli mediation without moduli-induced gravitino problem
- On toric geometry, Spin(7) manifolds, and type II superstring compactifications
- On the Bekenstein-Hawking Entropy, Non-Commutative Branes and Logarithmic Corrections
- Non-perturbative stabilization of two Kähler moduli in type-IIB/F theory and the inflaton potential
- Taxonomy of scalar potential with U-dual fluxes
- Space-filling branes & gaugings
- Off-shell D-Brane/F-Theory Effective Superpotentials and Ooguri-Vafa Invariants of Several Compact Calabi-Yau Manifolds
- Stable and Metastable Cosmic Strings in Heterotic M-Theory
- F-Theory, Seiberg-Witten Curves and N = 2 Dualities
- Supersymmetry preserving and breaking degenerate vacua, and radiative moduli stabilization
- Magnetized matter effects on dilaton photon mixing
- A Note on Fluxes in Six-Dimensional String Theory Backgrounds
- New Evidence for (0,2) Target Space Duality
- Joint Statistics of Cosmological Constant and SUSY Breaking in Flux Vacua with Nilpotent Goldstino
- Superpotentials, quantum parameter space and phase transitions in N=1 supersymmetric gauge theories
- Towards natural and realistic GUTs in F-theory
- Exotic potentials and Bianchi identities in SL(5) exceptional field theory
- Nonsupersymmetric brane vacua in stabilized compactifications
- Calabi-Yau Four/Five/Six-folds as Hypersurfaces: Machine Learning, Approximation, and Generation
- Asymptotically Free AdS3/CFT2
- Symplectic formulation of the type IIB scalar potential with U-dual fluxes
- Single-step de Sitter vacua from non-perturbative effects with matter
- Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
- Axion decay constants at special points in type II string theory
- Assisted Fibre Inflation in Perturbative LVS
- 2d Sigma Models on Non-compact Calabi-Yau and Liouville Theory
- BPS States of Strings in 3-Form Flux
- Hybrid Inflation, Reheating and Dark Radiation in a IIB perturbative moduli stabilization scenario
- Non-Abelian Vortex in Four Dimensions as a Critical Superstring
- Mirror Symmetry, D-brane Superpotential and Ooguri-Vafa Invariants of Compact Calabi-Yau Manifolds
- Black Holes, Space-Filling Chains and Random Walks
- Dark matter in the KL moduli stabilization scenario with SUSY breaking sector from SQCD
- Open Mirror Symmetry for Higher Dimensional Calabi-Yau Hypersurfaces
- Del Pezzo singularities and SUSY breaking
- Mirror symmetry & supersymmetry on SU(4)-structure backgrounds
- Non-flat elliptic four-folds, three-form cohomology and strongly coupled theories in four dimensions
- A note on transition in discrete gauge groups in F-theory
- Inflation and Leptogenesis in a -enhanced supersymmetric model
- Stabilization of a twisted modulus on a mirror of rigid Calabi-Yau manifold
- Counting String Vacua
- F-term Moduli Stabilization and Uplifting
- Hypermoduli Stabilization, Flux Attractors, and Generating Functions
- N=4 supergravity for Type IIB on T^6/Z_2 in presence of fluxes
- Brane/flux annihilation in double-throat system
- Reading-off the non-geometric scalar potentials with U-dual fluxes
- A domain wall bound on anti-de Sitter vacua
- Supersymmetric Horizons at the Edge of Effective Field Theory
- Bounds on complex structure moduli values for perturbative control
- Classification of Modular Symmetries in Type IIB Flux Landscape
- Strong Coupling Limit of A Family of Chern-Simons-matter Theories
- Features of deSitter Vacua in M-Theory
- Chiral Zeromodes on Vortex-type Intersecting Heterotic Five-branes
- Inflating Kahler Moduli and Primordial Magnetic Fields
- Stringy constraints on primordial electromagnetic fields in axion inflation
- String theory: an update
- Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles
- F-theory and N=1 Quivers from Polyvalent Geometry
- String loop origin for dark radiation and superheavy dark matter in type IIB compactifications
- Minkowski vacuum transitions in (non-geometric) flux compactifications
- Quantizing a solitonic string
- An Exponentially Small --term in String Theory
- On holographic duals of certain isolated weighted Gorenstein cDV singularities
- Flux Parameter Spaces in Type II Vacua
- Systematic exploration of the non-geometric flux landscape
- Geometric Metastability, Quivers and Holography
- Enumerative geometry of surfaces and topological strings
- Nearly-Kaehler dimensional reduction of the heterotic string
- On the effective theory of type IIA AdS_4 compactifications
- Machine Learning Calabi-Yau Three-Folds, Four-Folds, and Five-Folds
- One-loop vacuum energy in 10D super-Yang-Mills theory on magnetized tori with/without 4D N=1 supersymmetric completion