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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2021
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oai:doaj.org-article:2505ce0fa3e2482898d9d2a58e160b782021-11-14T12:40:48ZOn the quantisation and anomalies of antisymmetric tensor-spinors10.1007/JHEP11(2021)0781029-8479https://doaj.org/article/2505ce0fa3e2482898d9d2a58e160b782021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)078https://doaj.org/toc/1029-8479Abstract 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.Victor LekeuYi ZhangSpringerOpenarticleBRST QuantizationAnomalies in Field and String TheoriesGauge SymmetryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-29 (2021) |
| institution |
DOAJ |
| collection |
DOAJ |
| language |
EN |
| topic |
BRST Quantization Anomalies in Field and String Theories Gauge Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
| spellingShingle |
BRST Quantization Anomalies in Field and String Theories Gauge Symmetry Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Victor Lekeu Yi Zhang On the quantisation and anomalies of antisymmetric tensor-spinors |
| description |
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. |
| format |
article |
| author |
Victor Lekeu Yi Zhang |
| author_facet |
Victor Lekeu Yi Zhang |
| author_sort |
Victor Lekeu |
| title |
On the quantisation and anomalies of antisymmetric tensor-spinors |
| title_short |
On the quantisation and anomalies of antisymmetric tensor-spinors |
| title_full |
On the quantisation and anomalies of antisymmetric tensor-spinors |
| title_fullStr |
On the quantisation and anomalies of antisymmetric tensor-spinors |
| title_full_unstemmed |
On the quantisation and anomalies of antisymmetric tensor-spinors |
| title_sort |
on the quantisation and anomalies of antisymmetric tensor-spinors |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/2505ce0fa3e2482898d9d2a58e160b78 |
| work_keys_str_mv |
AT victorlekeu onthequantisationandanomaliesofantisymmetrictensorspinors AT yizhang onthequantisationandanomaliesofantisymmetrictensorspinors |
| _version_ |
1718429096303656960 |