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High Energy Physics - Theory, hep-th
Abstract:
We first perform bosonic T-duality transformation on one of the marginal TsT
(T-duality, shift, T-duality)-deformed $AdS_5\times S_5$ spacetime, which
corresponds to 4D $\mathcal{N}=4$ non-commutative super Yang-Mills theory
(NCSYM). We then construct the solution to killing spinor equations of the
resulting background, and perform the fermionic T-duality transformation. The
final dual geometry becomes the usual $AdS_5\times S_5$ but with the constant
NS-NS B-field depending on the non-commutative parameter. As applications, we
study the gluon scattering amplitude and open string (Wilson loop) solution in
the TsT-deformed $AdS_5\times S_5$ spacetime, which are dual to the null
polygon Wilson loop and the folded string solution respectively in the final
dual geometry.
