Type-B Formal Higher Spin Gravity

Evgeny D. Skvortsov; Maxim Grigoriev

Type-B Formal Higher Spin Gravity

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arxiv 1804.03196 v2 pith:LHNKWQQK submitted 2018-04-09 hep-th

Maxim Grigoriev , Evgeny D. Skvortsov This is my paper · ORCID

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keywords equationshigherspinformalgravitytype-barbitrarybackground

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We propose non-linear equations for the formal Type-B Higher Spin Gravity that is dual to the free fermion or to the Gross-Neveu model, depending on the boundary conditions. The equations are directly obtained from the first principles: the gauge invariance of the CFT partition function on an arbitrary background for single-trace operators. We also get equations describing propagation of certain mixed-symmetry fields over higher spin flat backgrounds.

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Scalar Field on a higher-spin Background via Fedosov quantization
hep-th 2024-12 conditional novelty 6.0 of 10

A Fedosov-quantized Wigner function and the Feigin-Felder-Shoikhet trace yield a manifestly covariant action for scalar matter coupled to conformal higher-spin backgrounds.

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