η and λ deformations as E-models
We show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the E-models introduced in the context of the Poisson–Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for the λ model the double is the direct product G×G while fo...
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| Format: | Article |
| Language: | English |
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Elsevier
2015-11-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315003302 |
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doaj-24680817bc5b46c8b4a7fbd41811ec972020-11-25T02:19:45ZengElsevierNuclear Physics B0550-32131873-15622015-11-01900C25927210.1016/j.nuclphysb.2015.09.011η and λ deformations as E-modelsCtirad KlimčíkWe show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the E-models introduced in the context of the Poisson–Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for the λ model the double is the direct product G×G while for the η model it is the complexified group GC. As a consequence of this picture, we prove for any G that the target space geometries of the λ-model and of the Poisson–Lie T-dual of the η-model are related by a simple analytic continuation.http://www.sciencedirect.com/science/article/pii/S0550321315003302 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Ctirad Klimčík |
| spellingShingle |
Ctirad Klimčík η and λ deformations as E-models Nuclear Physics B |
| author_facet |
Ctirad Klimčík |
| author_sort |
Ctirad Klimčík |
| title |
η and λ deformations as E-models |
| title_short |
η and λ deformations as E-models |
| title_full |
η and λ deformations as E-models |
| title_fullStr |
η and λ deformations as E-models |
| title_full_unstemmed |
η and λ deformations as E-models |
| title_sort |
η and λ deformations as e-models |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 1873-1562 |
| publishDate |
2015-11-01 |
| description |
We show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the E-models introduced in the context of the Poisson–Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for the λ model the double is the direct product G×G while for the η model it is the complexified group GC. As a consequence of this picture, we prove for any G that the target space geometries of the λ-model and of the Poisson–Lie T-dual of the η-model are related by a simple analytic continuation. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321315003302 |
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