R^4 Couplings in M and Type II Theories

Abstract

We discuss several implications of R^4 couplings in M theory when compactified on Calabi-Yau (CY) manifolds. In particular, these couplings can be predicted by supersymmetry from the mixed gauge-gravitational Chern-Simons couplings in five dimensions and are related to the one-loop holomorphic anomaly in four-dimensional N=2 theories. We find a new contribution to the Einstein term in five dimensions proportional to the Euler number of the internal CY threefold, which corresponds to a one-loop correction of the hypermultiplet geometry. This correction is reproduced by a direct computation in type II string theories. Finally, we discuss a universal non-perturbative correction to the type IIB hyper-metric.

21 pages, harvmac, misprints corrected, version to appear in Nuclear Physics B

References in corpus (2)

• Effects of D-instantons
• D-instantons, Strings and M-theory

Cited by in corpus (160)

• N-flation
• Supersymmetry Breaking and alpha'-Corrections to Flux Induced Potentials
• U-duality and M-Theory
• Microscopic Black Hole Entropy in Theories with Higher Derivatives
• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Complexity Growth for AdS Black Holes
• Aspects of Quadratic Gravity
• Non-perturbative Effects in AdS5 * S5 String Theory and d=4 SUSY Yang-Mills
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• The Weak Gravity Conjecture in three dimensions
• M-theory compactified on Calabi-Yau fourfolds with background flux
• From ten to four and back again: how to generalize the geometry
• Kaehler Corrections for the Volume Modulus of Flux Compactifications
• R^4 terms in 11 dimensions and conformal anomaly of (2,0) theory
• String loop corrected hypermultiplet moduli spaces
• Supersymmetric higher-derivative actions in ten and eleven dimensions, the associated superalgebras and their formulation in superspace
• String loop corrections to the universal hypermultiplet
• Superconformal Hypermultiplets
• Higher-derivative couplings in string theory: dualities and the B-field
• Supersymmetry Breaking by Fluxes
• Nonperturbative corrections to 4D string theory effective actions from SL(2,Z) duality and supersymmetry
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• Non-compact Calabi--Yau Manifolds and Localized Gravity
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Instantons and infinite distances
• D-instantons and twistors
• Tuning and Backreaction in F-term Axion Monodromy Inflation
• F-theory at order ${\alpha }^{\prime 3}$
• D-branes in Standard Model building, Gravity and Cosmology
• Twistor Approach to String Compactifications: a Review
• Topological mirror symmetry with fluxes
• Perturbative moduli stabilisation in type IIB/F-theory framework
• On α' corrections in N=1 F-theory compactifications
• D-instantons and twistors: some exact results
• Quantum Corrections to the Universal Hypermultiplet and Superspace
• Logarithmic loop corrections, moduli stabilisation and de Sitter vacua in string theory
• Gravitational solitons and $C^0$ vacuum metrics in five-dimensional Lovelock gravity
• D3-instantons, Mock Theta Series and Twistors
• UV Shadows in EFTs: Accidental Symmetries, Robustness and No-Scale Supergravity
• Eternal Inflation with alpha'-Corrections
• Supergravity Instantons for N=2 Hypermultiplets
• The Leading Quantum Corrections to Stringy Kahler Potentials
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• A Stringy Test of Flux-Induced Isometry Gauging
• Calabi-Yau Fourfolds with Flux and Supersymmetry Breaking
• Anomaly Cancelation in Field Theory and F-theory on a Circle
• Higher derivatives in Type II and M-theory on Calabi-Yau threefolds
• Towards the One-loop Kahler Metric of Calabi-Yau Orientifolds
• The LVS Parametric Tadpole Constraint
• On higher-order corrections in M theory
• Linear perturbations of quaternionic metrics
• Multiple D3-instantons and mock modular forms I
• Fundamental Strings, Holography, and Nonlinear Superconformal Algebras
• R^2 Corrections for 5D Black Holes and Rings
• LVS de Sitter Vacua are probably in the Swampland
• Gauss-Bonnet supergravity in six dimensions
• Subleading Corrections and Central Charges in the AdS/CFT Correspondence
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• On M-theory fourfold vacua with higher curvature terms
• Emergence of Species Scale Black Hole Horizons
• Invariant Differential Operators for Non-Compact Lie Algebras Parabolically Related to Conformal Lie Algebras
• Systematics of the ${\alpha }^{\prime }$ Expansion in F-Theory
• Loops, Local Corrections and Warping in the LVS and other Type IIB Models
• Instanton Action for Type II Hypermultiplets
• Quantum mirror symmetry and twistors
• IIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• From maximal to minimal supersymmetry in string loop amplitudes
• Fuzzball geometries and higher derivative corrections for extremal holes
• Anomaly Inflow Methods for SCFT Constructions in Type IIB
• Membrane and fivebrane instantons from quaternionic geometry
• Quantum covariant c-map
• Fivebrane Instanton Corrections to the Universal Hypermultiplet
• Induced Gravity on Intersecting Branes
• On Entropy Function for Supersymmetric Black Rings
• S-duality in Twistor Space
• New type of phase transition in gravitational theories
• The Ramond-Ramond sector of string theory beyond leading order
• One-loop Einstein-Hilbert term in minimally supersymmetric type IIB orientifolds
• Instantons, Hypermultiplets and the Heterotic String
• Multiple D3-instantons and mock modular forms II
• The effective action of warped M-theory reductions with higher-derivative terms - Part II
• Supersymmetric Deformations of G_2 Manifolds from Higher-Order Corrections to String and M-Theory
• On the topology of the hypermultiplet moduli space in type II/CY string vacua
• Dualities and fivebrane instantons
• Hypermultiplet metric and D-instantons
• Non-perturbative effects and wall-crossing from topological strings
• Induced gravity in Z_N orientifold models
• Rotating black holes with equal-magnitude angular momenta in d=5 Einstein-Gauss-Bonnet theory
• The Euler characteristic correction to the Kaehler potential - revisited
• Field redefinitions and Kähler potential in string theory at 1-loop
• R^4 Corrections to Eleven Dimensional Supergravity via Supersymmetry
• Stabilising all Kähler moduli in perturbative LVS
• On curvature-squared invariants of minimal five-dimensional supergravity from superspace
• TBA for non-perturbative moduli spaces
• Proca theory of four-dimensional regularized Gauss-Bonnet gravity and black holes with primary hair
• The large D limit of dimensionally continued gravity
• ${\alpha }^{\prime }$ corrections to KPV: An uplifting story
• Note on de Sitter vacua from perturbative and non-perturbative dynamics in type IIB/F-theory compactifications
• Type II and heterotic one loop string effective actions in four dimensions
• Four-dimensional black hole entropy from F-theory
• N=2 higher-derivative couplings from strings
• Hybrid inflation and waterfall field in string theory from D7-branes
• Higher curvature wormholes
• Constructing stable de Sitter in M-theory from higher curvature corrections
• One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
• The Physics of Extra Dimensions
• Universal hypermultiplet metrics
• Slowly rotating and the accelerating ${\alpha }^{\prime }$-corrected black holes in four and higher dimensions
• Remarks on the effects of quantum corrections on moduli stabilization and de Sitter vacua in type IIB string theory
• Naked singularity in 4D Einstein-Gauss-Bonnet novel gravity: Echoes and (in)-stability
• Enhanced supersymmetry from vanishing Euler number
• Automorphic Instanton Partition Functions on Calabi-Yau Threefolds
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• On ${\alpha }^{\prime }$-effects from $D$-branes in $4d\mathcal{N}=1$
• On string one-loop correction to the Einstein-Hilbert term and its implications on the Kahler potential
• De Sitter vacua from N=2 gauged supergravity
• An Effect of ${\alpha }^{\prime }$ Corrections on Racetrack Inflation
• The Hypermultiplet with Heisenberg Isometry in N=2 Global and Local Supersymmetry
• Spinning black strings in five dimensional Einstein--Gauss-Bonnet gravity
• Higher-Order Corrections to Non-Compact Calabi-Yau Manifolds in String Theory
• Black hole entropy, flat directions and higher derivatives
• Back to the origins of brane-antibrane inflation
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity
• Multi-horizons black hole solutions, photon sphere and perihelion shift in weak ghost-free Gauss-Bonnet theory of gravity
• Single field slow-roll effective potential from Kähler moduli stabilizations in type IIB/F-theory
• Consistent truncation and de Sitter space from gravitational instantons
• Heterotic-type II duality in twistor space
• Heterotic-Type II duality in the hypermultiplet sector
• Propagators on One-Loop Worldsheets for Orientifolds and Intersecting Branes
• Hypermultiplet metric and NS5-instantons
• Quantum Corrections in String Compactifications on SU(3) Structure Geometries
• Cosmic superstrings in large volume compactifications: PTAs, LISA and time-varying tension
• Two Ramond-Ramond corrections to type II supergravity via field-theory amplitude
• 4D gravity on a brane from bulk higher-curvature terms
• Closed string disk amplitudes in the pure spinor formalism
• On four-derivative terms in IIB Calabi-Yau orientifold reductions
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• $R^2$ Dark Energy in the Laboratory
• R**2 correction to BMPV black hole entropy from Kerr/CFT correspondence
• Classification of Shift-Symmetric No-Scale Supergravities
• Non-perturbative scalar potential inspired by type IIA strings on rigid CY
• Generalized Vaidya spacetime for cubic gravity
• Non-perturbative stabilization of two Kähler moduli in type-IIB/F theory and the inflaton potential
• One loop superstring effective actions and N=8 supergravity
• Higher-derivative supersymmetric effective field theories
• Rotating black holes at large $D$ in Einstein-Gauss-Bonnet theory
• D-dimensional black holes in extended Gauss-Bonnet gravity
• On effective field theory of F-theory beyond leading order
• Regular 3-charge 4D black holes and their microscopic description
• 6d $\mathcal{N}=(1,0)$ anomalies on $S^1$ and F-theory implications
• Minimal gauge invariant couplings at order ${\ell }_p^6$ in M-theory
• Bounds on complex structure moduli values for perturbative control
• String loop origin for dark radiation and superheavy dark matter in type IIB compactifications
• No inflation in type IIA strings on rigid CY spaces
• Classification of Invariant Differential Operators for Non-Compact Lie Algebras via Parabolic Relations
• Domain Walls in AdS-Einstein-scalar Gravity
• Type IIB at eight derivatives: insights from Superstrings, Superfields and Superparticles