N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
arXiv:hep-th/0403174 · doi:10.1088/1126-6708/2004/07/010
Abstract
We study D-branes in the background of Euclidean AdS2xS2 with a graviphoton field turned on. As the background is not Ricci flat, the graviphoton field must have both self-dual and antiself-dual parts. This, in general, will break all the supersymmetries on the brane. However, we show that there exists a limit for which one can restore half of the supersymmetries. Further, we show that in this limit, the N=1/2 SYM Lagrangian on flat space can be lifted on to the Euclidean AdS2xS2 preserving the same amount of supersymmetries as in the flat case. We observe that without the C-dependent terms present in the action this lift is not possible.
arXiv comment12 pages, latex file; v2: minor corrections, references added
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