Deformed Kac-Moody Algebra and Noncommutative Fermi Theory in Two-Dimensions
| Autor: | AlMasri, M. W., Wahiddin, M. R. B. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | International Journal of Modern Physics A: Vol.36, No.26, 2150189 (2021) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1142/S0217751X2150189X |
| Popis: | Starting from noncommutative Fermi theory in two-dimensions, we construct a deformed Kac-Moody algebra between its vector and Chiral currents . The higher-order corrections to the deformed Kac-Moody algebra are explicitly calculated. We observe that the ordinary Schwinger terms are not affected by noncommutativity. Finally we conclude that the deformed Kac-Moody algebra can be given in term of ordinary Kac-Moody algebra plus infinitely many Lie algebraic structures at each non-zero power of the antisymmetric coefficient $\theta$. Comment: 13 pages |
| Databáze: | arXiv |
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