Fermionic T-duality in fermionic double space

Abstract

In this article we offer the interpretation of the fermionic T-duality of the type II superstring theory in double space. We generalize the idea of double space doubling the fermionic sector of the superspace. In such doubled space fermionic T-duality is represented as permutation of the fermionic coordinates ${\theta }^{\alpha }$ and ${\bar{\theta }}^{\alpha }$ with the corresponding fermionic T-dual ones, ${\vartheta }_{\alpha }$ and ${\bar{\vartheta }}_{\alpha }$, respectively. Demanding that T-dual transformation law has the same form as inital one, we obtain the known form of the fermionic T-dual NS-R i R-R background fields. Fermionic T-dual NS-NS background fields are obtained under some assumptions. We conclude that only symmetric part of R-R field strength and symmetric part of its fermionic T-dual contribute to the fermionic T-duality transformation of dilaton field and analyze the dilaton field in fermionic double space. As a model we use the ghost free action of type II superstring in pure spinor formulation in approximation of constant background fields up to the quadratic terms.

Four paragraphs in the Introduction added in order to better motivate the subject, explained the choice of action (detailed derivation)

References in corpus (6)

• Doubled Geometry and T-Folds
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• T-duality in Ramond-Ramond backgrounds
• T-duality as coordinates permutation in double space
• Type I background fields in terms of type IIB ones
• T-dualization of type II superstring theory in double space

Cited by in corpus (4)

• Generalized Dualities and Supergroups
• T-duality as coordinates permutation in double space
• Open string T-duality in double space
• Combined fermionic and bosonic T-duality of type II superstring theory with coordinate dependent RR field