Topological Amplitudes in String Theory

Abstract

We show that certain type II string amplitudes at genus $g$ are given by the topological partition function $F_g$ discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form ${\sum }_g{F}_g{W}^{2g}$, where $W$ is the chiral superfield of $N=2$ supergravitational multiplet. The holomorphic anomaly of $F_g$ is related to non-localities of the effective action due to the propagation of massless states. This result generalizes the holomorphic anomaly of the one loop case which is known to lead to non-harmonic gravitational couplings.

31 pages (LATEX) + 2 figures (available upon request as PS file or hardcopy), NUB-3071 - IC/93/202 - CPTH-A258.0793

References in corpus (3)

• A New Supersymmetric Index
• Moduli Corrections to Gauge and Gravitational Couplings in four dimensional Superstrings
• Superstring Threshold Corrections to Yukawa Couplings

Cited by in corpus (206)

• Black Hole Attractors and the Topological String
• The Topological Vertex
• Black Hole Entropy Function and the Attractor Mechanism in Higher Derivative Gravity
• Superstrings and Topological Strings at Large N
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• The Refined Topological Vertex
• Knot Invariants and Topological Strings
• Two-Dimensional Black Hole and Singularities of CY Manifolds
• On Geometry and Matrix Models
• Exact Counting of Black Hole Microstates
• Duality Transformations in Supersymmetric Yang-Mills Theories coupled to Supergravity,
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Quantum Foam and Topological Strings
• R^4 Couplings in M and Type II Theories
• Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
• Black Holes and Solitons in String Theory
• N=4 Topological Strings
• Pure Spinor Formalism as an N=2 Topological String
• Precision Counting of Small Black Holes
• Criteria for Conformal Invariance of (0,2) Models
• Chern-Simons Theory and Topological Strings
• Macroscopic entropy formulae and non-holomorphic corrections for supersymmetric black holes
• Matrix Models, Geometric Engineering and Elliptic Genera
• Entropy Function for Heterotic Black Holes
• Infrared Regularization of Superstring Theory and the One-Loop Calculation of Coupling Constants
• D-Strings on D-Manifolds
• On the Ubiquity of K3 Fibrations in String Duality
• Topological String Partition Functions as Polynomials
• Residues and World-Sheet Instantons
• Counting higher genus curves in a Calabi-Yau manifold
• Refined Topological Vertex and Instanton Counting
• N=2 Type II- Heterotic duality and Higher derivative F-terms
• Black hole partition functions and duality
• Quantum black holes, localization and the topological string
• S-duality and Topological Strings
• On Link Invariants and Topological String Amplitudes
• Heterotic - type I superstring duality and low-energy effective actions
• Extended Holomorphic Anomaly in Gauge Theory
• Holographic Quantum Critical Transport without Self-Duality
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Aspects of Duality in N=2 String Vacua
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• Multiloop Superstring Amplitudes from Non-Minimal Pure Spinor Formalism
• Exact and Asymptotic Degeneracies of Small Black Holes
• Topological strings and 5d T_N partition functions
• Universality properties of N=2 and N=1 Heterotic threshold corrections
• New supersymmetric higher-derivative couplings: Full N=2 superspace does not count!
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Instanton calculus in R-R background and the topological string
• Swampland Distance Conjecture for One-Parameter Calabi-Yau Threefolds
• Hypermultiplets and Topological Strings
• Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (II): Nonrenormalization Theorems
• Twistors and Black Holes
• Superspace Effective Actions for 4D Compactifications of Heterotic and Type II Superstrings
• Deformed Topological Partition Function and Nekrasov Backgrounds
• N=2 Electric-magnetic duality in a chiral background
• The Omega Deformation From String and M-Theory
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• New Instanton Effects in String Theory
• The Emergence Proposal in Quantum Gravity and the Species Scale
• String Threshold corrections in models with spontaneously broken supersymmetry
• Solving the Decompactification Problem in String Theory
• Gauss-Bonnet Chern-Simons gravitational wave leptogenesis
• Cohomological gauge theory, quiver matrix models and Donaldson-Thomas theory
• Deformed N=2 theories, generalized recursion relations and S-duality
• Non-supersymmetric Black Holes and Topological Strings
• Notes on Certain (0,2) Correlation Functions
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Type IIB $R^4{H}^{4g-4}$ Conjectures
• Nonrenormalization of Flux Superpotentials in String Theory
• Holomorphic Couplings in String Theory
• N=2 symplectic reparametrizations in a chiral background
• Off-shell N=2 tensor supermultiplets
• Little String Theory and Heterotic/Type II Duality
• Modular anomaly equation, heat kernel and S-duality in N=2 theories
• Worldsheet Realization of the Refined Topological String
• A Stringy Test of the Fate of the Conifold
• Effective superpotentials for compact D5-brane Calabi-Yau geometries
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• Open string topological amplitudes and gaugino masses
• Higher derivatives in Type II and M-theory on Calabi-Yau threefolds
• Topological strings and large N phase transitions II: Chiral expansion of q-deformed Yang-Mills theory
• Large $N$ Partition Functions of the ABJM Theory
• Electric-Magnetic Duality in Supergravity
• R^2 Corrections for 5D Black Holes and Rings
• Five-dimensional Chern-Simons terms and Nekrasov's instanton counting
• Universal moduli-dependent thresholds in Z(2)xZ(2) orbifolds
• Calculable e^{-1/λ} Effects
• Topological Amplitudes in Heterotic Superstring Theory
• Counting BPS states on the Enriques Calabi-Yau
• Construction of $R^4$ Terms in N=2 D=8 Superspace
• Gauge theory, topological strings, and S-duality
• Threshhold Corrections in $K3\times T2$ Heterotic String Compactifications
• Subleading and non-holomorphic corrections to N=2 BPS black hole entropy
• Trilepton Events and B_s -> mu^+ mu^- : No-lose for mSUGRA at the Tevatron?
• Non-Abelian Born-Infeld Action and Type I - Heterotic Duality (I): Heterotic F^6 Terms at Two Loops
• Non-Perturbative Nekrasov Partition Function from String Theory
• Duality of N=2 Heterotic -- Type I Compactifications in Four Dimensions
• D-branes as a Bubbling Calabi-Yau
• Topological strings and large N phase transitions I: Nonchiral expansion of q-deformed Yang-Mills theory
• Mathieu Moonshine and N=2 String Compactifications
• Swampland, Gradient Flow and Infinite Distance
• Exact results for topological strings on resolved Y(p,q) singularities
• Supergravity at One Loop II: Chiral and Yang-Mills Matter
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• 4d N=2 supergravity observables from Nekrasov-like partition functions
• Lectures on Heterotic-Type I Duality
• Quantum black hole entropy and the holomorphic prepotential of N=2 supergravity
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• Instantons, Hypermultiplets and the Heterotic String
• Higher Derivative F-terms in N=2 Strings
• Non-perturbative effects and wall-crossing from topological strings
• N=4 Topological Amplitudes and String Effective Action
• Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds
• Topological Masses From Broken Supersymmetry
• Harmonicity in N=4 supersymmetry and its quantum anomaly
• Black-holes, topological strings and large N phase transitions
• Comments on ABJM free energy on $S^3$ at large $N$ and perturbative expansions in M-theory and string theory
• The Topological G2 String
• BPS black holes, the Hesse potential, and the topological string
• Planar Gravitational Corrections For Supersymmetric Gauge Theories
• One-Loop N-Point Superstring Amplitudes with Manifest d=4 Supersymmetry
• Deformations of special geometry: in search of the topological string
• N=2 higher-derivative couplings from strings
• One-modulus Calabi-Yau fourfold reductions with higher-derivative terms
• Supersymmetric black holes in string theory
• Non-perturbative studies of N=2 conformal quiver gauge theories
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• Deformation of Super Yang-Mills Theories in R-R 3-form Background
• Chaotic dynamics of the Bianchi IX universe in Gauss-Bonnet gravity
• Tetrahedron instantons
• Topological Amplitudes in Heterotic Strings with Wilson Lines
• BPS Saturated String Amplitudes: K3 Elliptic Genus and Igusa Cusp Form
• One Loop Corrections to Coupling Constants in IR-regulated String Theory
• $\mathcal{N}=2^{\star }$ from Topological Amplitudes in String Theory
• Partial $\mathcal{N}=2\to \mathcal{N}=1$ supersymmetry breaking and gravity deformed chiral rings
• Cargese lectures on string theory with eight supercharges
• Playing with the index of M-theory
• Probing the Moduli Dependence of Refined Topological Amplitudes
• Gravitational Corrections for Supersymmetric Gauge Theories with Flavors via Matrix Models
• On the large $\Omega$-deformations in the Nekrasov-Shatashvili limit of $\mathcal{N}=2^{\ast }$ SYM
• Giant gravitons in twisted holography
• A New Class of N=2 Topological Amplitudes
• Black hole entropy and topological strings on generalized CY manifolds
• Localization of effective actions in Heterotic String Field Theory
• Topological Strings on Non-Commutative Resolutions
• D-instanton, threshold corrections, and topological string
• On topological F-theory
• Exact partition functions for the $\Omega$-deformed $\mathcal{N}=2^{\ast }$ $SU(2)$ gauge theory
• The off-shell c-map
• D-branes and the Conifold Singularity
• Double Scaling Limits in Gauge Theories and Matrix Models
• Neutralino dark matter annihilation to monoenergetic gamma rays as a signal of low mass superstrings
• Gravitational F-terms through anomaly equations and deformed chiral rings
• Generalized N=2 Topological Amplitudes and Holomorphic Anomaly Equation
• Chiral trace relations in $\Omega$-deformed $\mathcal{N}=2$ theories
• N=4 Topological Amplitudes and Black Hole Entropy
• Solving the Topological String on K3 Fibrations
• On Minimal N=4 Topological Strings And The (1,k) Minimal Bosonic String
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Gravitational couplings in $\mathcal{N}=2$ string compactifications and Mathieu Moonshine
• Double Scaling Limits and Twisted Non-Critical Superstrings
• Refined Cigar and Omega-deformed Conifold
• New T-duality for Chern-Simons Theory
• The Ruled Vertex and D-E Degenerations
• Exact partition functions for deformed $\mathcal{N}=2$ theories with $N_f=4$ flavours
• S-duality and supersymmetry on curved manifolds
• Open-closed duality and Double Scaling
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• Higher Derivative Corrections, Dimensional Reduction and Ehlers Duality
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• A Comment on Quantum Distribution Functions and the OSV Conjecture
• Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
• Notes on reductions of superstring theory to bosonic string theory
• Bulk/boundary Modular Quintessence and DESI
• Black Hole Entropy, Quantum Corrections and EFT Transitions
• On Graviphoton F-terms of N=1 SU(N) SYM with Fundamental Matter
• M-theory interpretation of the real topological string
• $E_8$ spectral curves
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Topological open string amplitudes on local toric del Pezzo surfaces via remodeling the B-model
• Summability of Superstring Theory
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• SW(3/2,2) subsymmetry in G${}_2$, Spin(7) and N=2 CFTs
• Instanton Corrections for m and Omega
• A string realisation of $\Omega$-deformed Abelian $\mathcal{N}=2^{\ast }$ theory
• Refined topological amplitudes in N=1 flux compactification
• Refined open topological strings revisited
• Towards a gauge theory interpretation of the real topological string
• Towards A Topological G_2 String
• Heterotic strings on $(K3\times T^2)/{\mathbb{Z}}_3$ and their dual Calabi-Yau threefolds
• The String Geometry Behind Topological Amplitudes
• Refined Topological Amplitudes from the $\Omega$-Background in String Theory
• Notes on a singular Landau-Ginzburg family
• Gravitational F-terms of N=1 Supersymmetric Gauge Theories
• Instanton Calculus With R-R Background And Topological Strings
• State counting on fibered CY-3 folds and the non-Abelian Weak Gravity Conjecture
• $\Omega$ versus Graviphoton
• Minimal redefinition of the OSV ensemble
• Topological Amplitude Computations using the Pure Spinor Formalism
• String theory: an update
• Attractors with Large Complex Structure for One-Parameter Families of Calabi-Yau Manifolds
• Real topological string amplitudes
• Enumerative geometry of surfaces and topological strings
• Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory
• Direct Computation of Monodromy Matrices and Classification of 4d N=2 Heterotic--IIA Dual Vacua