Covariant quantisation of tensor multiplet models
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917702797361152 |
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| author | Kuzenko, Sergei M. Raptakis, Emmanouil S. N. |
| author_facet | Kuzenko, Sergei M. Raptakis, Emmanouil S. N. |
| contents | The Batalin-Vilkovisky formalism is applied to quantise the ${\cal N}=1$ supersymmetric generalisation of the Freedman-Townsend (FT) model, which was proposed by Lindström and Roček in 1983 in Minkowski superspace and is lifted to a supergravity background in this paper. This super FT theory describes a non-Abelian tensor multiplet and is known to be classically equivalent to a supersymmetric nonlinear sigma model. Using path integral considerations, we demonstrate that this equivalence holds at the quantum level in the sense that the quantum supercurrents in the two theories coincide. A modified Faddeev-Popov procedure is employed to quantise models for the ${\cal N}=2$ tensor multiplet in harmonic superspace. The obtained results agree with those derived by applying the Batalin-Vilkovisky scheme within the harmonic superspace setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_01176 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Covariant quantisation of tensor multiplet models Kuzenko, Sergei M. Raptakis, Emmanouil S. N. High Energy Physics - Theory Mathematical Physics The Batalin-Vilkovisky formalism is applied to quantise the ${\cal N}=1$ supersymmetric generalisation of the Freedman-Townsend (FT) model, which was proposed by Lindström and Roček in 1983 in Minkowski superspace and is lifted to a supergravity background in this paper. This super FT theory describes a non-Abelian tensor multiplet and is known to be classically equivalent to a supersymmetric nonlinear sigma model. Using path integral considerations, we demonstrate that this equivalence holds at the quantum level in the sense that the quantum supercurrents in the two theories coincide. A modified Faddeev-Popov procedure is employed to quantise models for the ${\cal N}=2$ tensor multiplet in harmonic superspace. The obtained results agree with those derived by applying the Batalin-Vilkovisky scheme within the harmonic superspace setting. |
| title | Covariant quantisation of tensor multiplet models |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2406.01176 |