Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k

TL;DR

This paper investigates fermionic T-duality in specific massive type IIA supergravity backgrounds, revealing invariance of the Romans mass and generating new supersymmetric solutions with complex RR fluxes.

Contribution

It derives Killing spinors for AdS_{10-k} x M_k backgrounds and demonstrates the invariance of the Romans mass under fermionic T-duality for these solutions.

Findings

Fermionic T-duality produces a large family of supersymmetric deformations.

Romans mass remains unchanged under fermionic T-duality in the studied cases.

New solutions involve complex RR fluxes as a result of the duality.

Abstract

Fermionic T-duality transformation is studied for the N=1 supersymmetric solutions of massive type IIA supergravity with the metric AdS_{10-k} x M_k for k=3 and 5. We derive the Killing spinors of these backgrounds and use them as an input for the fermionic T-duality transformation. The resulting dual solutions form a large family of supersymmetric deformations of the original solutions by complex valued RR fluxes. We observe that the Romans mass parameter does not change under fermionic T-duaity, and prove its invariance in the k=3 case.