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arXiv · 1806.02707

T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory

Song He·Hongfei Shu
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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.

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Song He, Hongfei Shu. 2018-06-07. T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory. https://doi.org/10.1007/jhep08(2018)172

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