The B-model on the A-model NS5-brane

TL;DR

This paper develops a world-volume theory for the A-model NS5-brane using the 'maximal form' method, linking it to the extended Hitchin model and pure spinor formulations within a superspace framework.

Contribution

It introduces a novel formulation of the NS5-brane dynamics that incorporates background fields and connects to Hitchin's pure spinor approach, expanding understanding of topological brane models.

Findings

Formulation of NS5-brane dynamics via maximal form method

Connection established between the world-volume theory and Hitchin's pure spinor model

Extension of the B-model to include background fields and superspace geometry

Abstract

We formulate the dynamics for the NS5-brane of the A-model, via the 'maximal form' method, which couples all background fields to the world-volume. This procedure provides the extra one- and five-forms fields of the extended Hitchin model. The generalised B-model emerges as the world-volume theory of this brane. The starting point of the construction is an embedding of the brane in a superspace geometry with 16 fermionic directions. The correspondence with Hitchin's formulation in terms of pure spinors is explained.