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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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LaTeX2e, 9 pages, no figures, JHEP style; v2: minor clarifications; v3: typos fixed, matches the published version

Scientific paper

10.1007/JHEP10(2010)110

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.

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