T-duality invariance in random lattice strings

TL;DR

This paper explores how T-duality invariance in continuum string theory constrains the form of the random matrix model potential in its lattice regularization, revealing a symmetry between color and flavor groups.

Contribution

It demonstrates that T-duality invariance uniquely determines the matrix model potential and establishes a symmetry between color and flavor groups in the D=0 case.

Findings

T-duality invariance constrains the matrix potential uniquely.

Explicit duality transformation exchanges color and flavor.

Color and flavor groups must be identical for invariance.

Abstract

Preserving the T-duality invariance of the continuum string in its random lattice regularization uniquely determines the random matrix model potential. For D=0 the duality transformation can be performed explicitly on the matrix action, and replaces color with flavor; invariance thus requires that the color and flavor groups be the same.