Abelian Yang–Baxter deformations and TsT transformations
We prove that abelian Yang–Baxter deformations of superstring coset σ models are equivalent to sequences of commuting TsT transformations, meaning T dualities and coordinate shifts. Our results extend also to fermionic deformations and fermionic T duality, and naturally lead to a TsT subgroup of the...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2017-02-01
|
| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316303935 |
| id |
doaj-c5a3fb2b58fe432589b7811c9c268a4b |
|---|---|
| record_format |
Article |
| spelling |
doaj-c5a3fb2b58fe432589b7811c9c268a4b2020-11-24T20:48:20ZengElsevierNuclear Physics B0550-32131873-15622017-02-01915C18420510.1016/j.nuclphysb.2016.12.007Abelian Yang–Baxter deformations and TsT transformationsDavid OstenStijn J. van TongerenWe prove that abelian Yang–Baxter deformations of superstring coset σ models are equivalent to sequences of commuting TsT transformations, meaning T dualities and coordinate shifts. Our results extend also to fermionic deformations and fermionic T duality, and naturally lead to a TsT subgroup of the superduality group OSp(db,db|2df). In cases like AdS5×S5, fermionic deformations necessarily lead to complex models. As an illustration of inequivalent deformations, we give all six abelian deformations of AdS3. We comment on the possible dual field theory interpretation of these (super-)TsT models.http://www.sciencedirect.com/science/article/pii/S0550321316303935 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
David Osten Stijn J. van Tongeren |
| spellingShingle |
David Osten Stijn J. van Tongeren Abelian Yang–Baxter deformations and TsT transformations Nuclear Physics B |
| author_facet |
David Osten Stijn J. van Tongeren |
| author_sort |
David Osten |
| title |
Abelian Yang–Baxter deformations and TsT transformations |
| title_short |
Abelian Yang–Baxter deformations and TsT transformations |
| title_full |
Abelian Yang–Baxter deformations and TsT transformations |
| title_fullStr |
Abelian Yang–Baxter deformations and TsT transformations |
| title_full_unstemmed |
Abelian Yang–Baxter deformations and TsT transformations |
| title_sort |
abelian yang–baxter deformations and tst transformations |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 1873-1562 |
| publishDate |
2017-02-01 |
| description |
We prove that abelian Yang–Baxter deformations of superstring coset σ models are equivalent to sequences of commuting TsT transformations, meaning T dualities and coordinate shifts. Our results extend also to fermionic deformations and fermionic T duality, and naturally lead to a TsT subgroup of the superduality group OSp(db,db|2df). In cases like AdS5×S5, fermionic deformations necessarily lead to complex models. As an illustration of inequivalent deformations, we give all six abelian deformations of AdS3. We comment on the possible dual field theory interpretation of these (super-)TsT models. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321316303935 |
| work_keys_str_mv |
AT davidosten abelianyangbaxterdeformationsandtsttransformations AT stijnjvantongeren abelianyangbaxterdeformationsandtsttransformations |
| _version_ |
1716808073959440384 |