Using the BV formalism, the authors show that descent equations turn ordinary higher-form symmetries into families of 'ghostly' symmetries generated by currents of nonzero ghost number.
Ward identities for rigid symmetries of higher order
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abstract
Higher order conservation laws, associated with conserved antisymmetric tensors $j^{\mu_1 ... \mu_k}$ fulfilling $\partial_{\mu_1} j^{\mu_1 ... \mu_k} \approx 0$, are shown to define rigid symmetries of the master equation. They thus lead to independent Ward identities which are explicitly derived.
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Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation
Using the BV formalism, the authors show that descent equations turn ordinary higher-form symmetries into families of 'ghostly' symmetries generated by currents of nonzero ghost number.