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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2017-04-01
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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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format | Article |
id | doaj.art-4fbecbd180d44475af06513b876ffdc8 |
institution | Directory Open Access Journal |
issn | 0550-3213 1873-1562 |
language | English |
last_indexed | 2024-12-12T07:58:25Z |
publishDate | 2017-04-01 |
publisher | Elsevier |
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series | Nuclear Physics B |
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 |