Dirac-Born-Infeld-Volkov-Akulov and Deformation of Supersymmetry

TL;DR

This paper develops deformed supersymmetric actions for Maxwell supermultiplets in various dimensions, aligning with string theory models like Dirac-Born-Infeld and introducing new vector branes related to supergravity.

Contribution

It constructs all-order deformations of Maxwell supermultiplets with maximal and half-maximal supersymmetries, connecting to string theory and superbrane models.

Findings

Deformed supersymmetry transformations match string-derived DBI actions.

Introduction of Vp-branes as new vector branes in six dimensions.

Complete deformation framework for supersymmetric Maxwell multiplets.

Abstract

We deform the action and the supersymmetry transformations of the d=10 and d=4 Maxwell supermultiplets so that at each order of the deformation the theory has 16 Maxwell multiplet deformed supersymmetries as well as 16 Volkov-Akulov type non-linear supersymmetries. The result agrees with the expansion in the string tension of the explicit action of the Dirac-Born-Infeld model and its supersymmetries, extracted from D9 and D3 superbranes, respectively. The half-maximal Dirac-Born-Infeld models with 8 Maxwell supermultiplet deformed supersymmetries and 8 Volkov-Akulov type supersymmetries are described by a new class of d=6 vector branes related to chiral (2,0) supergravity, which we denote as `Vp-branes'. We use a space-filling V5 superbrane for the d=6 model and a V3 superbrane for the d=4 half-maximal Dirac-Born-Infeld (DBI) models. In this way we present a completion to all orders of the deformation of the Maxwell supermultiplets with maximal 16+16 supersymmetries in d=10 and 4, and half-maximal 8+8 supersymmetries in d=6 and 4.