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arXiv · 1202.3416

Self-duality of the D1-D5 near-horizon

Eoin Ó Colgáin
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Abstract

We explore fermionic T-duality and self-duality in the geometry AdS3 x S3 x T4 in type IIB supergravity. We explicitly construct the Killing spinors and the fermionic T-duality isometries and show that the geometry is self-dual under a combination of two bosonic AdS3 T-dualities, four fermionic T-dualities and either two additional T-dualities along T4 or two T-dualities along S3. In addition, we show that the presence of a B-field acts as an obstacle to self-duality, a property attributable to S- duality and fermionic T-duality not commuting. Finally, we argue that fermionic T-duality may be extended to CY2 = K3, a setting where we cannot explicitly construct the Killing spinors.

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Eoin Ó Colgáin. 2012-03-24. Self-duality of the D1-D5 near-horizon. https://doi.org/10.1007/jhep04(2012)047

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