Matrix String Partition Functions

Abstract

We evaluate quasi-classically the Ramond partition function of Euclidean D=10 U(N) super-Yang--Mills theory reduced to a two-dimensional torus. The result can be interpreted in terms of free strings wrapping the space-time torus, as expected from the point of view of Matrix string theory. We demonstrate that, when extrapolated to the ultraviolet limit (small area of the torus), the quasi-classical expressions reproduce exactly the recently obtained expression for the partition of the completely reduced SYM theory, including the overall numerical factor. This is an evidence that our quasi-classical calculation might be exact.

harvmac (b), 15 pages. v2 Cosmetic changes in the text and references added

References in corpus (4)

• Monte Carlo Approach to M-Theory
• D-particle bound states and the D-instanton measure
• Gauge fields and interactions in matrix string theory
• Heterotic versus Type I

Cited by in corpus (30)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Multi-Instanton Calculus and the AdS/CFT Correspondence in N=4 Superconformal Field Theory
• Interconnections between type II superstrings, M theory and N=4 supersymmetric Yang--Mills
• Eigenvalue Distributions in Yang-Mills Integrals
• Emergent Cosmology from Matrix Theory
• Dimensionally Reduced SYM_4 as Solvable Matrix Quantum Mechanics
• Matrix String Theory and its Moduli Space
• Gaussian and Mean Field Approximations for Reduced Yang-Mills Integrals
• Matrix Theory Interpretation of DLCQ String Worldsheets
• Thermodynamic Partition Function of Matrix Superstrings
• The Automorphic Membrane
• The instanton contributions to Yang-Mills theory on the torus: localization, Wilson loops and the perturbative expansion
• Heterotic/type I duality, D-instantons and an N=2 AdS/CFT correspondence
• Matrix strings in a B-field
• Notes on Soliton Bound-State Problems in Gauge Theory and String Theory
• The Supermoduli Space of Matrix String Theory
• Automorphic Instanton Partition Functions on Calabi-Yau Threefolds
• U-duality from Matrix Membrane Partition Function
• Arithmetic and Hyperbolic Structures in String Theory
• High Temperature Limit of the N= 2 Matrix Model
• Heterotic Matrix String Theory and Riemann Surfaces
• Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces
• Cohomological Field Theory Approach to Matrix Strings
• High energy scattering amplitudes in matrix string theory
• Generalized two-dimensional Yang-Mills theory is a matrix string theory
• 2D Yang-Mills Theory as a Matrix String Theory
• D-instantons and Matrix Models
• Partition Functions of Reduced Matrix Models with Classical Gauge Groups
• Open Superstring on Symmetric Product
• Instanton corrections to the effective action of the CHL string and its type I dual