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...
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| Autores principales: | , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
SpringerOpen
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/2505ce0fa3e2482898d9d2a58e160b78 |
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| Sumario: | 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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