Fermionic T-duality of DFT

TL;DR

This paper proves that non-abelian fermionic T-duality along non-anticommuting Killing spinors always produces solutions to double field theory, with examples involving string backgrounds with non-zero b-fields.

Contribution

It provides a complete proof of the solution-generating property of non-abelian fermionic T-duality in double field theory and explores specific string background examples.

Findings

Non-abelian fermionic T-duality always yields double field theory solutions.

Examples include string backgrounds with non-vanishing b-fields.

The proof applies to non-anticommuting Killing spinors.

Abstract

We provide a complete proof that non-abelian fermionic T-duality along a non-anticommuting Killing spinor always generates a solution to double field theory equations. Examples of non-abelian fermionic T-dualities of string backgrounds with non-vanishing b-field are investigated.