N=4 Supergravity with Antisymmetric Tensor in Central Charge Superspace

TL;DR

This paper presents a geometric formulation of N=4 supergravity with an antisymmetric tensor in central charge superspace, unifying graviphotons, vierbein, and Rarita-Schwinger fields, and naturally incorporating Chern-Simons terms.

Contribution

It introduces a novel superspace approach where antisymmetric tensor gauge fields and graviphotons are integrated into the super-vielbein framework, revealing intrinsic Chern-Simons terms.

Findings

Unified geometric description of N=4 supergravity with antisymmetric tensor

Identification of graviphotons within super-vielbein

Intrinsic emergence of Chern-Simons terms in superspace

Abstract

A concise geometrical formulation of N=4 supergravity containing an antisymmetric tensor gauge field is given in central charge superspace: graviphotons are identified in the super-vielbein on the same footing as the vierbein and the Rarita-Schwinger fields. As a consequence of superspace soldering, Chern-Simons terms in the fieldstrength of the antisymmetric tensor arise as an intrinsic property of superspace with central charge coordinates.