D-branes and Matrix Theory in Curved Space

TL;DR

This paper explores the connection between supersymmetric gauge theories of branes and supergravity, proposing gauged sigma models as a framework for Matrix theory in curved backgrounds, with implications for understanding brane dynamics in curved space.

Contribution

It introduces gauged sigma model Lagrangians as a new approach to define Matrix theory in curved space, extending previous flat space formulations.

Findings

Gauged sigma models can serve as definitions of Matrix theory in curved backgrounds.

The paper clarifies the relation between brane gauge theories and supergravity in curved space.

It emphasizes the role of motion in curved backgrounds within Matrix theory.

Abstract

We discuss the relation between supersymmetric gauge theory of branes and supergravity; as it was discovered in D-brane physics, and as it appears in Matrix theory, with emphasis on motion in curved backgrounds. We argue that gauged sigma model Lagrangians can be used as definitions of Matrix theory in curved space. Lecture given at Strings '97; June 20, 1997.