On non-abelian T-duality and deformations of supercoset string sigma-models
Abstract We elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra g ˜ $$ \tilde{\mathfrak{g}} $$ of the superisometry algebra. These models inherit the c...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)024 |
| _version_ | 1818389290136109056 |
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| author | Riccardo Borsato Linus Wulff |
| author_facet | Riccardo Borsato Linus Wulff |
| author_sort | Riccardo Borsato |
| collection | DOAJ |
| description | Abstract We elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra g ˜ $$ \tilde{\mathfrak{g}} $$ of the superisometry algebra. These models inherit the classical integrability of the parent one, and they include as special cases the so-called homogeneous Yang-Baxter sigma models as well as their non-abelian T-duals. Many properties of DTD models have simple algebraic interpretations. For example we show that their (non-abelian) T-duals — including certain deformations — are again in the same class, where g ˜ $$ \tilde{\mathfrak{g}} $$ gets enlarged or shrinks by adding or removing generators corresponding to the dualised isometries. Moreover, we show that Weyl invariance of these models is equivalent to g ˜ $$ \tilde{\mathfrak{g}} $$ being unimodular; when this property is not satisfied one can always remove one generator to obtain a unimodular g ˜ $$ \tilde{\mathfrak{g}} $$ , which is equivalent to (formal) T-duality. We also work out the target space superfields and, as a by-product, we prove the conjectured transformation law for Ramond-Ramond (RR) fields under bosonic non-abelian T-duality of supercosets, generalising it to cases involving also fermionic T-dualities. |
| first_indexed | 2024-12-14T04:39:23Z |
| format | Article |
| id | doaj.art-36cdb5b89f65485087843427d585a90d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-14T04:39:23Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-36cdb5b89f65485087843427d585a90d2022-12-21T23:16:50ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171013010.1007/JHEP10(2017)024On non-abelian T-duality and deformations of supercoset string sigma-modelsRiccardo Borsato0Linus Wulff1Nordita, Stockholm University and KTH Royal Institute of TechnologyDepartment of Theoretical Physics and Astrophysics, Masaryk UniversityAbstract We elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra g ˜ $$ \tilde{\mathfrak{g}} $$ of the superisometry algebra. These models inherit the classical integrability of the parent one, and they include as special cases the so-called homogeneous Yang-Baxter sigma models as well as their non-abelian T-duals. Many properties of DTD models have simple algebraic interpretations. For example we show that their (non-abelian) T-duals — including certain deformations — are again in the same class, where g ˜ $$ \tilde{\mathfrak{g}} $$ gets enlarged or shrinks by adding or removing generators corresponding to the dualised isometries. Moreover, we show that Weyl invariance of these models is equivalent to g ˜ $$ \tilde{\mathfrak{g}} $$ being unimodular; when this property is not satisfied one can always remove one generator to obtain a unimodular g ˜ $$ \tilde{\mathfrak{g}} $$ , which is equivalent to (formal) T-duality. We also work out the target space superfields and, as a by-product, we prove the conjectured transformation law for Ramond-Ramond (RR) fields under bosonic non-abelian T-duality of supercosets, generalising it to cases involving also fermionic T-dualities.http://link.springer.com/article/10.1007/JHEP10(2017)024Integrable Field TheoriesString Duality |
| spellingShingle | Riccardo Borsato Linus Wulff On non-abelian T-duality and deformations of supercoset string sigma-models Journal of High Energy Physics Integrable Field Theories String Duality |
| title | On non-abelian T-duality and deformations of supercoset string sigma-models |
| title_full | On non-abelian T-duality and deformations of supercoset string sigma-models |
| title_fullStr | On non-abelian T-duality and deformations of supercoset string sigma-models |
| title_full_unstemmed | On non-abelian T-duality and deformations of supercoset string sigma-models |
| title_short | On non-abelian T-duality and deformations of supercoset string sigma-models |
| title_sort | on non abelian t duality and deformations of supercoset string sigma models |
| topic | Integrable Field Theories String Duality |
| url | http://link.springer.com/article/10.1007/JHEP10(2017)024 |
| work_keys_str_mv | AT riccardoborsato onnonabeliantdualityanddeformationsofsupercosetstringsigmamodels AT linuswulff onnonabeliantdualityanddeformationsofsupercosetstringsigmamodels |