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On the quantisation and anomalies of antisymmetric tensor-spinors
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abstract
We perform the quantisation of antisymmetric tensor-spinors (fermionic $p$-forms) $\psi^\alpha_{\mu_1 \dots \mu_p}$ using the Batalin-Vilkovisky field-antifield formalism. Just as for the gravitino ($p=1$), an extra propagating Nielsen-Kallosh ghost appears in quadratic gauges containing a differential operator. The appearance of this `third ghost' is described within the BV formalism for arbitrary reducible gauge theories. We then use the resulting spectrum of ghosts and the Atiyah-Singer index theorem to compute gravitational anomalies.
Forward citations
Cited by 2 Pith papers
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Covariant quantization of totally antisymmetric tensor-spinor field in $AdS_d$
The BV quantization of the reducible fermionic p-form gauge theory in AdS_d gives Z(p) as a product over functional determinants of Dirac-like operators with degree-dependent masses.
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Adjustment of Faddeev-Popov quantization to reducible gauge theories: antisymmetric tensor fermion in $AdS_d$ space
A nested Faddeev-Popov procedure is derived for first-stage reducible gauge theories and yields the one-loop effective action of the rank-2 antisymmetric fermion in AdS_d as a ratio of Dirac-type functional determinants.
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