On the quantisation and anomalies of antisymmetric tensor-spinors
Abstract We perform the quantisation of antisymmetric tensor-spinors (fermionic p-forms) ψ μ 1 … μ p α $$ {\psi}_{\mu_1\dots {\mu}_p}^{\alpha } $$ using the Batalin-Vilkovisky field-antifield formalism. Just as for the gravitino (p = 1), an extra propagating Nielsen-Kallosh ghost appears in quadrati...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-11-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP11(2021)078 |
| Summary: | Abstract We perform the quantisation of antisymmetric tensor-spinors (fermionic p-forms) ψ μ 1 … μ p α $$ {\psi}_{\mu_1\dots {\mu}_p}^{\alpha } $$ 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. |
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| ISSN: | 1029-8479 |