On the fermionic T-duality of the AdS_4 \times CP^3 sigma-model

TL;DR

This paper investigates the fermionic T-duality of the AdS_4  CP^3 sigma-model, revealing that the standard Buscher procedure fails due to singularities, impacting the understanding of dualities in string theory.

Contribution

It demonstrates the failure of fermionic T-duality via the Buscher procedure in the AdS_4  CP^3 sigma-model, highlighting limitations of current duality techniques.

Findings

Buscher procedure leads to singular transformation

Fermionic T-duality fails in this sigma-model

Implications for duality symmetries in string theory

Abstract

In this note we consider a fermionic T-duality of the coset realization of the type IIA sigma-model on AdS_4 \times CP^3 with respect to the three flat directions in AdS_4, six of the fermionic coordinates and three of the CP^3 directions. We show that the Buscher procedure fails as it leads to a singular transformation and discuss the result and its implications.