Non-Perturbative String Theory from AdS/CFT

Abstract

The large $N$ expansion of giant graviton correlators is considered. Giant gravitons are described using operators with a bare dimension of order $N$. In this case the usual $1/N$ expansion is not applicable and there are contributions to the correlator that are non-perturbative in character. By writing the (square of the) correlators in terms of the hypergeometric function ${}_2{F}_1(a,b;c;1)$, we are able to rephrase the $1/N$ expansion of the correlator as a semi-classical expansion for a Schrödinger equation. In this way we are able to argue that the $1/N$ expansion of the correlator is Borel summable and that it exhibits a parametric Stokes phenomenon as the angular momentum of the giant graviton is varied.

33pages,no figures

References in corpus (31)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Bubbling AdS space and 1/2 BPS geometries
• Invasion of the Giant Gravitons from Anti-de Sitter Space
• Giant Gravitons in Conformal Field Theory
• Large branes in AdS and their field theory dual
• A toy model for the AdS/CFT correspondence
• SUSY and Goliath
• Lectures on non-perturbative effects in large N gauge theories, matrix models and strings
• Black Holes as Effective Geometries
• Multi-Instantons and Exact Results I: Conjectures, WKB Expansions, and Instanton Interactions
• Diagonal multi-matrix correlators and BPS operators in N=4 SYM
• Exact Multi-Matrix Correlators
• Branes, Anti-Branes and Brauer Algebras in Gauge-Gravity duality
• Tiny Graviton Matrix Theory: DLCQ of IIB Plane-Wave String Theory, A Conjecture
• A non-renormalization theorem for chiral primary 3-point functions
• Multi-Instantons and Exact Results II: Specific Cases, Higher-Order Effects, and Numerical Calculations
• Diagonal free field matrix correlators, global symmetries and giant gravitons
• Exact Multi-Restricted Schur Polynomial Correlators
• Finite Factorization equations and Sum Rules for BPS correlators in N=4 SYM theory
• TBA equations and resurgent Quantum Mechanics
• Quantum Geometry of Resurgent Perturbative/Nonperturbative Relations
• Correlators, Probabilities and Topologies in N=4 SYM
• Correlators Of Operators with a Large R-charge
• LLM Magnons
• Exciting LLM Geometries
• Integrable Subsectors from Holography
• Thresholds of Large N Factorization in CFT4 : Exploring bulk spacetime in AdS5
• Semiclassical SL(2) Strings on LLM backgrounds
• Giant graviton interactions and M2-branes ending on multiple M5-branes

Cited by in corpus (6)

• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Absorption of closed strings by giant gravitons
• The four-point function of determinant operators in $\mathcal{N}=4$ SYM
• Holography for Tensor models
• Three-point Functions in $\mathcal{N}=4$ SYM at Finite $N_c$ and Background Independence
• Entanglement and mixed states of Young tableau states in gauge/gravity correspondence