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Grigoriev, Maxim; Skvortsov, Evgeny (2018): Type-B formal higher spin gravity. In: Journal of High Energy Physics, No. 5, 138
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Abstract

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.