Dual Vector Multiplet Coupled to Dual N=1 Supergravity in 10D

TL;DR

This paper develops a superspace coupling of a dual vector multiplet to dual N=1 supergravity in 10D, revealing the structure of their interactions, anomaly cancellation, and introducing supersymmetric Dirac-Born-Infeld actions.

Contribution

It introduces a consistent coupling of a dual vector multiplet to dual supergravity in ten dimensions, including anomaly cancellation and supersymmetric Dirac-Born-Infeld interactions.

Findings

The H-Bianchi identity takes the form N∧F, linking dual fields.

Only the dual supergravity couples consistently to the dual vector multiplet.

Anomaly cancellation is achieved for U(1)^{496} via the Green-Schwarz mechanism.

Abstract

We couple in superspace a `dual' vector multiplet (C_{m_1... m_7}, \l^\alpha) to the dual version of N=1 supergravity (e_m{}^a, \psi_m{}^\alpha, M_{m_1... m_6}, \chi_\a,\Phi) in ten-dimensions. Our new 7-form field C has its 8-form field strength H dual to the 2-form field strength F of the conventional vector multiplet. We have found that the H-Bianchi identity must have the form N\wedge F, where N is the 7-form field strength in dual supergravity. We also see why only the dual version of supergravity couples to the dual vector multiplet consistently. The potential anomaly for the dual vector multiplet can be cancelled for the particular gauge group U(1)^{496} by the Green-Schwarz mechanism. As a by-product, we also give the globally supersymmetric Abelian Dirac-Born-Infeld interactions for the dual vector multiplet for the first time.