Academic Journal
On the L∞ structure of Poisson gauge theory
| العنوان: | On the L∞ structure of Poisson gauge theory |
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| المؤلفون: | Abla, O., Kupriyanov, Vladislav G., Kurkov, Maxim A. |
| المصدر: | Journal of physics A: Mathematical and theoretical. 2022. Vol. 55, № 38. P. 384006 |
| سنة النشر: | 2022 |
| المجموعة: | Tomsk State University Research Library / Электронная библиотека (репозиторий) Томского государственного университета (ТГУ) |
| مصطلحات موضوعية: | калибровочные теории, калибровочные симметрии, Пуассона скобки |
| الوصف: | The Poisson gauge theory is a semi-classical limit of full non-commutative gauge theory. In this work we construct an ${mathrm{L}}_{infty }^{ ext{full}}$ algebra which governs both the action of gauge symmetries and the dynamics of the Poisson gauge theory. We derive the minimal set of non-vanishing ℓ-brackets and prove that they satisfy the corresponding homotopy relations. On the one hand, it provides new explicit non-trivial examples of L∞ algebras. On the other hand, it can be used as a starting point for bootstrapping the full non-commutative gauge theory. The first few brackets of such a theory are constructed explicitly in the text. In addition we show that the derivation properties of ℓ-brackets on ${mathrm{L}}_{infty }^{ ext{full}}$ with respect to the truncated product on the exterior algebra are satisfied only for the canonical non-commutativity. In general, ${mathrm{L}}_{infty }^{ ext{full}}$ does not have a structure of P∞ algebra. |
| نوع الوثيقة: | article in journal/newspaper |
| اللغة: | English |
| Relation: | koha:000900990; https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000900990 |
| DOI: | 10.1088/1751-8121/ac87df |
| الاتاحة: | https://doi.org/10.1088/1751-8121/ac87df https://vital.lib.tsu.ru/vital/access/manager/Repository/koha:000900990 |
| رقم الانضمام: | edsbas.89E7CD24 |
| قاعدة البيانات: | BASE |
| DOI: | 10.1088/1751-8121/ac87df |
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