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Fermionic T-duality transformation is studied for the N=1 supersymmetricsolutions of massive type IIA supergravity with the metric AdS_{10-k} x M_k fork=3 and 5. We derive the Killing spinors of these backgrounds and use them asan input for the fermionic T-duality transformation. The resulting dualsolutions form a large family of supersymmetric deformations of the originalsolutions by complex valued RR fluxes. We observe that the Romans massparameter does not change under fermionic T-duaity, and prove its invariance inthe k=3 case.

Fermionic T-duality in massive type IIA supergravity on AdS_{10-k} x M_k