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      "raw_name": "Eghbali, A.", 
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          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran"
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      "given_names": "A.", 
      "full_name": "Eghbali, A."
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      "raw_name": "Rezaei-Aghdam, A.", 
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          "value": "Department of Physics, Faculty of Basic Sciences, Azarbaijan Shahid Madani University, 53714-161, Tabriz, Iran"
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      "surname": "Rezaei-Aghdam", 
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  "titles": [
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      "source": "Elsevier", 
      "title": "Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group H 4"
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      "value": "We show that the WZW model on the Heisenberg Lie group H4 has Poisson\u2013Lie symmetry only when the dual Lie group is A2\u22952A1 . 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\u22952A1 , 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\u2013Lie 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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