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FERMIONIC T-DUALITY: A SNAPSHOT REVIEW

EOIN Ó COLGÁIN

Departamento de Física, Universidad de Oviedo, 33007 Oviedo, Spain

https://doi.org/10.1142/S0217751X12300323Cited by:18 (Source: Crossref)

Abstract

Through a self-dual mapping of the geometry AdS₅ ×S⁵, fermionic T-duality provides a beautiful geometric interpretation of hidden symmetries for scattering amplitudes in 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 × ℂP³, dual to 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.

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