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arXiv · 2209.12952

Combined fermionic and bosonic T-duality of type II superstring theory with coordinate dependent RR field

Bojan Nikolic·Danijel Obric
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Abstract

We investigate effects of fermionic T-duality on type II superstring in presence of Ramond-Ramond (RR) field that has infinitesimal linear dependence on bosonic coordinate $x^\mu$. Other fields are assumed to be constant. Procedure that we employ for obtaining fermionic T-dual theory is Busher procedure, where we will consider two distinct cases. One, where action has not been T-dualized along bosonic coordinates and other where it has. By analyzing these two cases, their actions and T-dual transformation laws, we obtain some insight into how background fields transform and what are necessary ingredients for emergence of fermionic non-commutativity.

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Bojan Nikolic, Danijel Obric. 2022-09-26. Combined fermionic and bosonic T-duality of type II superstring theory with coordinate dependent RR field. https://doi.org/10.1002/prop.202200160

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