Real fermionic symmetry in type II supergravity

TL;DR

This paper uncovers a real fermionic symmetry in type II supergravity that transforms fields using Killing spinors, extending known complex transformations to include real ones, with implications for supergravity solutions.

Contribution

The authors identify and analyze a fermionic symmetry in type II supergravity that allows for real transformations, expanding the understanding of fermionic T-duality.

Findings

The symmetry involves Killing spinors and transforms Ramond-Ramond fields and the dilaton.

It generalizes previous complex transformations to include real transformations.

The symmetry is consistent with the supergravity equations of motion.

Abstract

It is known that the transformations of fermionic T-duality, derived from the worldsheet theory, generically transform real supergravity backgrounds to complex supergravity backgrounds. We consider the low-energy target space theory and show that the type II supergravity equations admit a symmetry that transforms the Ramond-Ramond fields and the dilaton. The transformations given by this symmetry involve Killing spinors and include the transformations of Berkovits and Maldacena. However, we show that they also allow real transformations.