What is the Seiberg-Witten map exactly?
We give a conceptual treatment of the Seiberg-Witten map as a quasi-isomorphism of differential graded algebras. The corresponding algebras have a very simple form, leading to explicit recurrence formulas for the quasi-isomorphism. Unlike most previous papers, our recurrence relations are nonperturb...
| Published in: | Journal of physics A: Mathematical and theoretical Vol. 56, № 37. P. 375201 (1-15) |
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| Format: | Article |
| Language: | English |
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| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/koha:001017456 Перейти в каталог НБ ТГУ |
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| 100 | 1 | |a Kupriyanov, Vladislav G. |9 441818 | |
| 245 | 1 | 0 | |a What is the Seiberg-Witten map exactly? |c V. G. Kupriyanov, A. A. Sharapov |
| 336 | |a Текст | ||
| 337 | |a электронный | ||
| 504 | |a Библиогр.: 24 назв. | ||
| 520 | 3 | |a We give a conceptual treatment of the Seiberg-Witten map as a quasi-isomorphism of differential graded algebras. The corresponding algebras have a very simple form, leading to explicit recurrence formulas for the quasi-isomorphism. Unlike most previous papers, our recurrence relations are nonperturbative in the parameter of non-commutativity. Using the language of quasi-isomorphisms, we give a homotopy classification of ambiguities in Seiberg-Witten maps. Possible generalizations to the Wess-Zumino complexes and some other algebras are briefly discussed. | |
| 653 | |a Зайберга-Виттена отображение | ||
| 653 | |a квазиизоморфизм | ||
| 653 | |a некоммутативная калибровочная теория | ||
| 655 | 4 | |a статьи в журналах |9 919032 | |
| 700 | 1 | |a Sharapov, Alexey A. |9 89140 | |
| 773 | 0 | |t Journal of physics A: Mathematical and theoretical |d 2023 |g Vol. 56, № 37. P. 375201 (1-15) |x 1751-8113 | |
| 852 | 4 | |a RU-ToGU | |
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