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Couplings of gravity to antisymmetric gauge fields

Xavier Bekaert·Bernard Knaepen·Christiane Schomblond
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Abstract

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in the undifferentiated two-form, confirming the previous results of [1] that geometrical theories constructed from a nonsymmetric gravity theory are physically inconsistent or trivial. No assumption is made here on the degree of homogeneity in the derivatives nor on the form of the gravity action.

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Xavier Bekaert, Bernard Knaepen, Christiane Schomblond. 2000-03-20. Couplings of gravity to antisymmetric gauge fields. https://doi.org/10.1016/s0370-2693(00)00422-6

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