Self-duality of the D1-D5 near-horizon

Details Self-duality of the D1-D5 near-horizon Self-duality of the D1-D5 near-horizon

2012-02-15

arxiv.org/abs/1202.3416v2

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, references added, changes made to reinforce the point that S-duality and fermionic T-duality generically do not comm

Scientific paper

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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