Matrix Theory Interpretation of DLCQ String Worldsheets

Abstract

We study the null compactification of type-IIA-string perturbation theory at finite temperature. We prove a theorem about Riemann surfaces establishing that the moduli spaces of infinite-momentum-frame superstring worldsheets are identical to those of branched-cover instantons in the matrix-string model conjectured to describe M-theory. This means that the identification of string degrees of freedom in the matrix model proposed by Dijkgraaf, Verlinde and Verlinde is correct and that its natural generalization produces the moduli space of Riemann surfaces at all orders in the genus expansion.

9 pages LaTeX. Changes in style, typos corrected

References in corpus (2)

• The Supermoduli Space of Matrix String Theory
• High energy scattering amplitudes in matrix string theory

Cited by in corpus (24)

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• Five-Brane Thermodynamics from the Matrix Model
• Thermal Amplitudes in DLCQ Superstrings on PP-Waves
• The superstring Hagedorn temperature in a pp-wave background
• String Vertex Operators and Cosmic Strings
• Thermal Partition Function of Superstring on Compactified PP-Wave
• Matrix strings in a B-field
• Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres
• The target space dependence of the Hagedorn temperature
• Matrix Model Thermodynamics
• Worldsheet of the discrete light front string
• Space/Time Noncommutativity in String Theories without Background Electric Field
• DLCQ strings and branched covers of torii
• Two-dimensional gauge theories of the symmetric group S(n) and branched n-coverings of Riemann surfaces in the large-n limit
• Eigenfunctions of the Laplacian Acting on Degree Zero Bundles over Special Riemann Surfaces
• Branched Coverings and Interacting Matrix Strings in Two Dimensions
• Compactified Strings as Quantum Statistical Partition Function on the Jacobian Torus
• DLCQ Strings, Twist Fields and One-Loop Correlators on a Permutation Orbifold
• Two-Loop String Theory on Null Compactifications