The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
We construct the Lax-pair, the classical monodromy matrix and the corresponding solution of the Yang–Baxter equation, for a two-parameter deformation of the Principal chiral model for a simple group. This deformation includes as a one-parameter subset, a class of integrable gauged WZW-type theories...
| Κύριοι συγγραφείς: | , , , |
|---|---|
| Άλλοι συγγραφείς: | |
| Μορφή: | Journal (paper) |
| Γλώσσα: | English |
| Έκδοση: |
2018
|
| Θέματα: | |
| Διαθέσιμο Online: | http://dx.doi.org/10.1016/j.nuclphysb.2014.10.004 http://hdl.handle.net/10889/11476 |
| id |
nemertes-10889-11476 |
|---|---|
| record_format |
dspace |
| spelling |
nemertes-10889-114762022-09-05T09:40:22Z The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories Itsios, Georgios Sfetsos, Konstantinos Siampos, Konstantinos Torrielli, Alessandro Ίτσιος, Γεώργιος Σφέτσος, Κωνσταντίνος Σιάμπος, Κωνσταντίνος Lax-pair Yang–Baxter equation Two-parameter deformation Principal chiral model WZW model Non-Abelian T-dual SCOAP3 Απεικονίσεις Yang-Baxter We construct the Lax-pair, the classical monodromy matrix and the corresponding solution of the Yang–Baxter equation, for a two-parameter deformation of the Principal chiral model for a simple group. This deformation includes as a one-parameter subset, a class of integrable gauged WZW-type theories interpolating between the WZW model and the non-Abelian T-dual of the principal chiral model. We derive in full detail the Yangian algebra using two independent methods: by computing the algebra of the non-local charges and alternatively through an expansion of the Maillet brackets for the monodromy matrix. As a byproduct, we also provide a detailed general proof of the Serre relations for the Yangian symmetry. 2018-08-01T06:13:13Z 2018-08-01T06:13:13Z 2014-10 Journal (paper) Itsios, G., Sfetsos, K., Siampos, K., & Torrielli, A. (2014). "The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories". Nuclear Physics B, 889, 64-86. http://dx.doi.org/10.1016/j.nuclphysb.2014.10.004 http://dx.doi.org/10.1016/j.nuclphysb.2014.10.004 http://hdl.handle.net/10889/11476 en application/pdf Nuclear physics B |
| institution |
UPatras |
| collection |
Nemertes |
| language |
English |
| topic |
Lax-pair Yang–Baxter equation Two-parameter deformation Principal chiral model WZW model Non-Abelian T-dual SCOAP3 Απεικονίσεις Yang-Baxter |
| spellingShingle |
Lax-pair Yang–Baxter equation Two-parameter deformation Principal chiral model WZW model Non-Abelian T-dual SCOAP3 Απεικονίσεις Yang-Baxter Itsios, Georgios Sfetsos, Konstantinos Siampos, Konstantinos Torrielli, Alessandro The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories |
| description |
We construct the Lax-pair, the classical monodromy matrix and the corresponding solution of the Yang–Baxter equation, for a two-parameter deformation of the Principal chiral model for a simple group. This deformation includes as a one-parameter subset, a class of integrable gauged WZW-type theories interpolating between the WZW model and the non-Abelian T-dual of the principal chiral model. We derive in full detail the Yangian algebra using two independent methods: by computing the algebra of the non-local charges and alternatively through an expansion of the Maillet brackets for the monodromy matrix. As a byproduct, we also provide a detailed general proof of the Serre relations for the Yangian symmetry. |
| author2 |
Ίτσιος, Γεώργιος |
| author_facet |
Ίτσιος, Γεώργιος Itsios, Georgios Sfetsos, Konstantinos Siampos, Konstantinos Torrielli, Alessandro |
| format |
Journal (paper) |
| author |
Itsios, Georgios Sfetsos, Konstantinos Siampos, Konstantinos Torrielli, Alessandro |
| author_sort |
Itsios, Georgios |
| title |
The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories |
| title_short |
The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories |
| title_full |
The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories |
| title_fullStr |
The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories |
| title_full_unstemmed |
The classical Yang–Baxter equation and the associated Yangian symmetry of gauged WZW-type theories |
| title_sort |
classical yang–baxter equation and the associated yangian symmetry of gauged wzw-type theories |
| publishDate |
2018 |
| url |
http://dx.doi.org/10.1016/j.nuclphysb.2014.10.004 http://hdl.handle.net/10889/11476 |
| work_keys_str_mv |
AT itsiosgeorgios theclassicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT sfetsoskonstantinos theclassicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT siamposkonstantinos theclassicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT torriellialessandro theclassicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT itsiosgeorgios classicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT sfetsoskonstantinos classicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT siamposkonstantinos classicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories AT torriellialessandro classicalyangbaxterequationandtheassociatedyangiansymmetryofgaugedwzwtypetheories |
| _version_ |
1771297182058545152 |
