Fermionic T-duality in fermionic double space

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 c...

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Main Authors: B. Nikolić, B. Sazdović
Format: Article
Language:English
Published: Elsevier 2017-04-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321317300482
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author B. Nikolić
B. Sazdović
author_facet B. Nikolić
B. Sazdović
author_sort B. Nikolić
collection DOAJ
description 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 θα and θ¯α with the corresponding fermionic T-dual ones, ϑα and ϑ¯α, respectively. Demanding that T-dual transformation law has the same form as initial one, we obtain the known form of the fermionic T-dual NS–R and 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.
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spelling doaj.art-4fbecbd180d44475af06513b876ffdc82022-12-22T00:32:13ZengElsevierNuclear Physics B0550-32131873-15622017-04-01917C10512110.1016/j.nuclphysb.2017.02.003Fermionic T-duality in fermionic double spaceB. NikolićB. SazdovićIn 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 θα and θ¯α with the corresponding fermionic T-dual ones, ϑα and ϑ¯α, respectively. Demanding that T-dual transformation law has the same form as initial one, we obtain the known form of the fermionic T-dual NS–R and 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.http://www.sciencedirect.com/science/article/pii/S0550321317300482
spellingShingle B. Nikolić
B. Sazdović
Fermionic T-duality in fermionic double space
Nuclear Physics B
title Fermionic T-duality in fermionic double space
title_full Fermionic T-duality in fermionic double space
title_fullStr Fermionic T-duality in fermionic double space
title_full_unstemmed Fermionic T-duality in fermionic double space
title_short Fermionic T-duality in fermionic double space
title_sort fermionic t duality in fermionic double space
url http://www.sciencedirect.com/science/article/pii/S0550321317300482
work_keys_str_mv AT bnikolic fermionictdualityinfermionicdoublespace
AT bsazdovic fermionictdualityinfermionicdoublespace