Abstract
We explore fermionic T-duality and self-duality in the geometry AdS3 × S 3 × T 4 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 T 4 or two T-dualities along S 3. 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 CY 2 = K3, a setting where we cannot explicitly construct the Killing spinors.
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ArXiv ePrint: 1202.3416
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Colgáin, E.Ó. Self-duality of the D1-D5 near-horizon. J. High Energ. Phys. 2012, 47 (2012). https://doi.org/10.1007/JHEP04(2012)047
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DOI: https://doi.org/10.1007/JHEP04(2012)047