Nonperturbative definition of closed string theory via open string field theory

Abstract

In typical examples of the AdS/CFT correspondence, the world-sheet theory with holes in the presence of D-branes is assumed to be equivalent in a low-energy limit to a world-sheet theory without holes for a different background such as $Ad{S}_5\times S^5$. In the case of the bosonic string, we claim under the assumption of this equivalence that open string field theory on $N$ coincident D-branes can be used to provide a nonperturbative definition of closed string theory based on the fact that the $1/N$ expansion of correlation functions of gauge-invariant operators reproduces the world-sheet theory with holes where the moduli space of Riemann surfaces is precisely covered.

arXiv comment17 pages, 3 figures

References in corpus (21)

• Large N Field Theories, String Theory and Gravity
• M Theory As A Matrix Model: A Conjecture
• Closed String Field Theory: Quantum Action and the BV Master Equation
• Introduction to string field theory
• Why is the Matrix Model Correct?
• Worldsheet Derivation of a Large N Duality
• A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Closed Superstring Field Theory and its Applications
• Observables of String Field Theory
• BV Master Action for Heterotic and Type II String Field Theories
• Long strings in two dimensional string theory and non-singlets in the matrix model
• Interpolating String Field Theories
• How Noncommutative Gauge Theories Couple to Gravity
• Complete Action for Open Superstring Field Theory with Cyclic $A_{\infty }$ Structure
• Towards a Worldsheet Derivation of the Maldacena Conjecture
• On the Worldsheet Derivation of Large N Dualities for the Superstring
• Energy-momentum Tensors in Matrix Theory and in Noncommutative Gauge Theories
• ZZ Instantons and the Non-Perturbative Dual of c = 1 String Theory
• Gauge-invariant operators of open bosonic string field theory in the low-energy limit
• Multi-Instanton Calculus in c = 1 String Theory

Cited by in corpus (3)

• Tree-level amplitudes from the pure spinor superstring
• Gauge-invariant operators of open bosonic string field theory in the low-energy limit
• String Field Theory