Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group H4
In: Nuclear Physics B, Jg. 899 (2015), Heft C, S. 165-179
Online
academicJournal
Zugriff:
We show that the WZW model on the Heisenberg Lie group H4 has Poisson–Lie symmetry only when the dual Lie group is A2⊕2A1. In this way, we construct the mutual T-dual sigma models on Drinfel'd double generated by the Heisenberg Lie group H4 and its dual pair, A2⊕2A1, as the target space in such a way that the original model is the same as the H4 WZW model. Furthermore, we show that the dual model is conformal up to two-loop order. Finally, we discuss D-branes and the worldsheet boundary conditions defined by a gluing matrix on the H4 WZW model. Using the duality map obtained from the canonical transformation description of the Poisson–Lie T-duality transformations for the gluing matrix which locally defines the properties of the D-brane, we find two different cases of the gluing matrices for the WZW model based on the Heisenberg Lie group H4 and its dual model.
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Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group H4
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Autor/in / Beteiligte Person: | Eghbali, A. ; Rezaei-Aghdam, A. |
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Zeitschrift: | Nuclear Physics B, Jg. 899 (2015), Heft C, S. 165-179 |
Veröffentlichung: | Elsevier, 2015 |
Medientyp: | academicJournal |
ISSN: | 0550-3213 (print) ; 1873-1562 (print) |
DOI: | 10.1016/j.nuclphysb.2015.07.026 |
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