Coordinate-free action for AdS3 higher-spin-matter systems
| Autor: | Sergey Prokushkin, Arkady Yu. Segal, Mikhail A. Vasiliev |
|---|---|
| Rok vydání: | 2000 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Relativistic dynamics FOS: Physical sciences Noncommutative geometry Action (physics) Superalgebra Massless particle High Energy Physics::Theory High Energy Physics - Theory (hep-th) Gauge group Spin-½ Mathematical physics Free parameter |
| Zdroj: | Physics Letters B. 478:333-342 |
| ISSN: | 0370-2693 |
| DOI: | 10.1016/s0370-2693(00)00258-6 |
| Popis: | A coordinate-free action principle for the N=2 supersymmetric model of spin 0 and spin 1/2 matter fields interacting via Chern-Simons higher spin gauge fields in AdS3 is formulated in terms of star-product algebra of two oscillators. Although describing proper relativistic dynamics the action does not contain space-time coordinates. It is given by a supertrace of a forth-order polynomial in the 3d higher spin superalgebra. The theory admits a free parameter characterizing the inequivalent vacua associated with the parameter of mass m of the matter fields. For the case of the massless matter, the model has a form of the noncommutative 2d Yang-Mills theory with some infinite-dimensional gauge group. The limit m\to\infty corresponds to the SU(\infty) 2d Yang-Mills theory. Comment: LaTeX, 14 pages, no figures; revised version to be published in Phys.Lett.B |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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