Abstract
We first perform bosonic T-duality transformation on one of the marginal TsT (T-duality, shift, T-duality)-deformed AdS5×S5 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 AdS5 × S5 spacetime but with a 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 AdS5 × S5 spacetime, which are dual to the null polygon Wilson loop and the folded string solution respectively in the final dual geometry.
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He, S., Shu, H. T-duality to scattering amplitude and Wilson loop in non-commutative super Yang-Mills theory. J. High Energ. Phys. 2018, 172 (2018). https://doi.org/10.1007/JHEP08(2018)172
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DOI: https://doi.org/10.1007/JHEP08(2018)172