Higher spin gravities and presymplectic AKSZ models A. A. Sharapov, E. D. Skvortsov
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ArticleContent type: Текст Media type: электронный Subject(s): высшая спиновая гравитация | высшая спиновая симметрия | Черна-Саймонса модельGenre/Form: статьи в журналах Online resources: Click here to access online
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Nuclear physics B Vol. 972. P. 115551 (1-56)Abstract: As a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for 4d Higher Spin Gravity which is AdS/CFT dual of Chern–Simons vector models. It is shown that the presymplectic structure leads to the correct quantum commutator of higher spin fields and to the correct algebra of the global higher spin symmetry currents. The presymplectic AKSZ model is proved to be unique, it depends on two coupling constants in accordance with the AdS/CFT duality, and it passes some simple checks of interactions.
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As a step towards quantization of Higher Spin Gravities we construct the presymplectic AKSZ sigma-model for 4d Higher Spin Gravity which is AdS/CFT dual of Chern–Simons vector models. It is shown that the presymplectic structure leads to the correct quantum commutator of higher spin fields and to the correct algebra of the global higher spin symmetry currents. The presymplectic AKSZ model is proved to be unique, it depends on two coupling constants in accordance with the AdS/CFT duality, and it passes some simple checks of interactions.
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