The Principle of Equivalence as a Guide towards Matrix Theory Compactifications

TL;DR

This paper explores how the principle of equivalence can guide the development of matrix theory descriptions of M-theory compactifications, focusing on the relationship between certain supersymmetric gauge theories and matrix models on K3 surfaces.

Contribution

It introduces a novel approach translating the principle of equivalence into world-volume field theories to explore matrix descriptions of M-theory compactifications.

Findings

Proposes a matrix description of M-theory on K3.

Links D=6 N=1 U(M) SYM to matrix theory models.

Suggests a new framework for understanding compactifications.

Abstract

The principle of equivalence is translated into the language of the world-volume field theories that define matrix and string theories. This idea leads to explore possible matrix descriptions of M-theory compactifications. An interesting case is the relationship between D=6 N=1 U(M) SYM and Matrix Theory on K3.