Matrix String Theory and its Moduli Space

Abstract

The correspondence between Matrix String Theory in the strong coupling limit and IIA superstring theory can be shown by means of the instanton solutions of the former. We construct the general instanton solutions of Matrix String Theory which interpolate between given initial and final string configurations. Each instanton is characterized by a Riemann surface of genus h with n punctures, which is realized as a plane curve. We study the moduli space of such plane curves and find out that, at finite N, it is a discretized version of the moduli space of Riemann surfaces: instead of 3h-3+n its complex dimensions are 2h-3+n, the remaining h dimensions being discrete. It turns out that as $N$ tends to infinity, these discrete dimensions become continuous, and one recovers the full moduli space of string interaction theory.

30 pages, LaTeX, JHEP.cls class file, minor corrections

References in corpus (10)

• Matrix String Theory
• Another Conjecture about M(atrix) Theory
• Proposals on nonperturbative superstring interactions
• Gauge fields and interactions in matrix string theory
• String Interactions from Matrix String Theory
• Matrix String Partition Functions
• Matrix String Theory, 2D SYM Instantons and affine Toda systems
• A Matrix String Interpretation of the Large N Loop Equation
• On the string interpretation of M(atrix) theory
• The large-N limit of QCD and the collective field of the Hitchin fibration

Cited by in corpus (23)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Diagrams for Symmetric Product Orbifolds
• Matrix Strings in pp-wave backgrounds from deformed Super Yang-Mills Theory
• Matrix Strings in Weakly Curved Background Fields
• Matrix Theory Interpretation of DLCQ String Worldsheets
• Variations on stability
• Matrix String Models for Exact (2,2) String Theories in R-R Backgrounds
• Matrix strings in a B-field
• The Supermoduli Space of Matrix String Theory
• Matrix string theory, contact terms, and superstring field theory
• Instantons and scattering in N=4 SYM in 4D
• The geometry of the M5-branes and TQFTs
• On the Supersymmetric Index of the M-theory 5-brane and Little String Theory
• Construction of exact Riemannian instanton solutions
• Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces
• On membrane interactions and a three-dimensional analog of Riemann surfaces
• Open String on Symmetric Product
• The Concept of a Noncommutative Riemann Surface
• DLCQ strings and branched covers of torii
• Branched Coverings and Interacting Matrix Strings in Two Dimensions
• Matrix String Theory on pp-waves
• On the nature of intermittency in weakly dissipative systems
• Two-Loop String Theory on Null Compactifications