Generalized K$\ddot{a}$hler Geometry and current algebras in classical N=2 superconformal WZW model
| Autor: | Parkhomenko, S. E. |
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| Rok vydání: | 2018 |
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| Zdroj: | IJMPA, Vol.33, No.12, (2018) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0217751X18500653 |
| Popis: | I examine the Generalized K$\ddot{a}$hler geometry of classical $N=(2,2)$ superconformal WZW model on a compact group and relate the right-moving and left-moving Kac-Moody superalgebra currents to the Generalized K$\ddot{a}$hler geometry data using Hamiltonian formalism. It is shown that canonical Poisson homogeneous space structure induced by the Generalized K$\ddot{a}$hler geometry of the group manifold is crucial to provide $N=(2,2)$ superconformal sigma-model with the Kac-Moody superalgebra symmetries. Biholomorphic gerbe geometry is used to prove that Kac-Moody superalgebra currents are globally defined. Comment: LaTex, 17 pages |
| Databáze: | arXiv |
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