Dimensional reduction of the ABJM model

TL;DR

This paper reduces the ABJM model to a two-dimensional theory that captures dualities and brane dynamics, providing insights into string and D-brane descriptions in various dimensions.

Contribution

It introduces a dimensional reduction of the ABJM model that encodes T- and S-duality, connecting to D-brane actions and string configurations.

Findings

Derivation of a 2D 'master action' from the ABJM model.

Encoding of T- and S-duality within the reduced theory.

Identification of D1-brane actions and string mappings in specific limits.

Abstract

We dimensionally reduce the ABJM model, obtaining a two-dimensional theory that can be thought of as a 'master action'. This encodes information about both T- and S-duality, i.e. describes fundamental (F1) and D-strings (D1) in 9 and 10 dimensions. The Higgsed theory at large VEV and large k yields D1-brane actions in 9d and 10d, depending on which auxiliary fields are integrated out. For N=1 there is a map to a Green-Schwarz string wrapping a nontrivial circle in C^4/Z_k.