M-Theory and Topological Strings--II

TL;DR

This paper explores how topological string amplitudes encode BPS states of wrapped M2 branes in M-theory on Calabi-Yau threefolds, linking them to a 5D supersymmetric index and revealing spin dependence through string coupling.

Contribution

It demonstrates the encoding of BPS structures in topological string amplitudes and relates them to a twisted supersymmetric index in five dimensions.

Findings

Topological string amplitudes encode BPS state information.

BPS state spin dependence is reflected in string coupling dependence.

Connection established between M-theory, topological strings, and 5D supersymmetric indices.

Abstract

It is shown how the topological string amplitudes encode the BPS structure of wrapped M2 branes in M-theory compactification on Calabi-Yau threefolds. This in turn is related to a twisted supersymmetric index in 5 dimensions which receives contribution only from BPS states. The spin dependence of BPS states in 5 dimensions is captured by the string coupling constant dependence of topological string amplitudes.