Near-Horizon Supergravity Superspace

TL;DR

This paper constructs the superspace for maximally supersymmetric near-horizon geometries in supergravity, detailing geometric superfields and isometries to all orders in superspace coordinates.

Contribution

It provides a complete superspace construction for near-horizon supergravity geometries based solely on supergravity constraints, including isometries and tangent space transformations.

Findings

Explicit superspace construction for near-horizon geometries.

Derivation of isometries and tangent space transformations.

All-order in superspace coordinates formulation.

Abstract

We present a construction of the superspace of maximally supersymmetric adS_{p+2} x S^{d-p-2} near-horizon geometry based entirely on the supergravity constraints of which the bosonic space is a solution. Besides the geometric superfields, i.e. the vielbeine and the spinconnection, we also derive the isometries of the superspace together with the compensating tangent space transformations to all orders in anticommuting superspace coordinates.