Heterotic Matrix theory with Wilson lines on the lightlike circle

Abstract

We develop a matrix model for the SO(32) Heterotic string with certain Wilson lines on the lightlike circle. This is done by using appropriate T-dualities. The method works for an infinite number of Wilson lines, but not for all. The matrix model is the theory on the D-string of type I wrapped on a circle with a SO(32) Wilson line on the circle. The radius of the circle depends on the Wilson line. This is a 1+1 dimensional O(N) theory on a circle. N depends not only on the momentum around the lightlike circle but also on the winding and SO(32) quantum numbers of the state. Perspectives for obtaining a matrix model for all Wilson lines are discussed.

13 pages, harvmac

References in corpus (13)

• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• D-branes and the Noncommutative Torus
• Why is the Matrix Model Correct?
• Strings from Matrices
• Heterotic M(atrix) Strings and Their Interactions
• Heterotic Matrix String Theory
• Heterotic Strings from Matrices
• Towards a Noncommutative Geometric Approach to Matrix Compactification
• Matrix Theory and Heterotic Strings on Tori
• Wilson Lines and T-Duality in Heterotic M(atrix) Theory
• A Matrix Model for Heterotic $Spin(32)/Z_2$ and Type I String Theory
• Heterotic M(atrix) theory at generic points in Narain moduli space
• A note on M(atrix) theory in seven dimensions with eight supercharges

Cited by in corpus (5)

• U-duality and M-Theory
• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• Matrix string theory and the Myers effect
• A New String in Ten Dimensions?
• Heterotic Matrix String Theory and Riemann Surfaces