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

He, Song; Shu, Hongfei

doi:10.1007/JHEP08(2018)172

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

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He, Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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1806.02707.pdf
(プレプリント), 260KB

He-Shu2018_Article_T-dualityToScatteringAmplitude.pdf
(出版社版), 354KB

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引用

He, S., & Shu, H. (2018). T-duality to Scattering Amplitude and Wilson Loop in Non-commutative Super Yang-Mills Theory. Journal of high energy physics: JHEP, 2018(08):. doi:10.1007/JHEP08(2018)172.

引用: https://hdl.handle.net/21.11116/0000-0001-97F4-1

要旨

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.