Fermionic T-duality and momenta noncommutativity

TL;DR

This paper explores how fermionic T-duality in type IIB superstring theory relates to momenta noncommutativity, extending the known connection between bosonic T-duality and coordinate noncommutativity, with a focus on open strings and boundary conditions.

Contribution

It establishes that momenta noncommutativity parameters are equivalent to fermionic T-dual fields, extending the understanding of T-duality effects in superstring theory.

Findings

Fermionic T-duality relates to momenta noncommutativity in superstrings.

Dirichlet boundary conditions lead to momenta noncommutativity.

Moment a noncommutativity parameters are fermionic T-dual fields.

Abstract

In this article we establish the relationship between fermionic T-duality and momenta noncommuativity. This is extension of known relation between bosonic T-duality and coordinate noncommutativity. The case of open string propagating in background of the type IIB superstring theory has been considered. We perform T-duality with respect to the fermionic variables instead to the bosonic ones. We also choose Dirichlet boundary conditions at the string endpoints, which lead to the momenta noncommutativity, instead Neumann ones which lead to the coordinates noncommutativity. Finally, we establish the main result of the article that momenta noncommutativity parameters are just fermionic T-dual fields.