M(atrix)-Theory in Various Dimensions

TL;DR

This paper establishes a detailed numerical correspondence between supergravity and M(atrix)-Theory in various dimensions, confirming the realization of T-duality and linking wrapped membranes to topological invariants.

Contribution

It provides a precise numerical match between supergravity scattering and M(atrix)-Theory, and identifies wrapped membranes via topological invariants, advancing understanding of M-theory compactifications.

Findings

Numerical correspondence between supergravity and M(atrix)-Theory scattering.

Identification of wrapped membranes through topological invariants.

Verification of T-duality realization in M(atrix)-Theory.

Abstract

We demonstrate the precise numerical correspondence between long range scattering of supergravitons and membranes in supergravity in the infinite momentum frame and in M(atrix)-Theory, both in 11 dimensions and for toroidal compactifications. We also identify wrapped membranes in terms of topological invariants of the vector bundles associated to the field theory description of compactified M(atrix)-Theory. We use these results to check the realization of T-duality in M(atrix)-Theory.