Fermionic T-duality: A snapshot review

TL;DR

This review explores fermionic T-duality, a symmetry in string theory that relates geometries like AdS5 x S5 and AdS4 x CP3, highlighting its geometric interpretation and applications in supergravity and gauge theories.

Contribution

It consolidates recent developments in fermionic T-duality, including its translation into supergravity fields and applications to various self-dual geometries.

Findings

Fermionic T-duality provides a geometric interpretation of hidden symmetries.

A class of fermionic transformations can be identified directly in supergravity.

Applications extend to geometries like AdS4 x CP3 and other self-dual backgrounds.

Abstract

Through a self-dual mapping of the geometry AdS5 x S5, fermionic T-duality provides a beautiful geometric interpretation of hidden symmetries for scattering amplitudes in N=4 super-Yang-Mills. Starting with Green-Schwarz sigma-models, we consolidate developments in this area into this small review. In particular, we discuss the translation of fermionic T-duality into the supergravity fields via pure spinor formalism and show that a general class of fermionic transformations can be identified directly in the supergravity. In addition to discussing fermionic T-duality for the geometry AdS4 x CP3, dual to N=6 ABJM theory, we review work on other self-dual geometries. Finally, we present a short round-up of studies with a formal interest in fermionic T-duality.