Supersymmetric truncation of N=3 dilaton Weyl multiplet
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866915689358426112 |
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| author | Adhikari, Soumya Aikot, Aravind Krishnan, Eswar Sahoo, Bindusar Shanmughan, Sharun |
| author_facet | Adhikari, Soumya Aikot, Aravind Krishnan, Eswar Sahoo, Bindusar Shanmughan, Sharun |
| contents | We perform all possible supersymmetric truncations of the four-dimensional N=3 dilaton Weyl multiplet, which realizes an R-symmetry $SU(2) \times U(1) \times U(1)$, to N=2. A particular truncation procedure does not break any of the R-symmetries and leads to the known N=2 vector-dilaton Weyl multiplet and the N=2 vector multiplet. A different truncation procedure breaks the SU(2) part of the R-symmetry to U(1) and leads to a 32+32 off-shell representation of N=2 conformal supergravity with a partially broken R-symmetry. Independently, we construct another 32+32 off-shell multiplet in N=2 conformal supergravity by coupling the N=2 scalar-tensor multiplet to the N=2 standard Weyl multiplet and using the scalar fields present in the scalar-tensor multiplet to break the SU(2) R-symmetry to U(1). We then establish the equivalence between these two multiplets through a mapping. We observe that this 32+32 multiplet is gauge equivalent to a Poincaré supergravity multiplet as it has all the compensators necessary to go from conformal supergravity to Poincaré supergravity. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_09430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Supersymmetric truncation of N=3 dilaton Weyl multiplet Adhikari, Soumya Aikot, Aravind Krishnan, Eswar Sahoo, Bindusar Shanmughan, Sharun High Energy Physics - Theory We perform all possible supersymmetric truncations of the four-dimensional N=3 dilaton Weyl multiplet, which realizes an R-symmetry $SU(2) \times U(1) \times U(1)$, to N=2. A particular truncation procedure does not break any of the R-symmetries and leads to the known N=2 vector-dilaton Weyl multiplet and the N=2 vector multiplet. A different truncation procedure breaks the SU(2) part of the R-symmetry to U(1) and leads to a 32+32 off-shell representation of N=2 conformal supergravity with a partially broken R-symmetry. Independently, we construct another 32+32 off-shell multiplet in N=2 conformal supergravity by coupling the N=2 scalar-tensor multiplet to the N=2 standard Weyl multiplet and using the scalar fields present in the scalar-tensor multiplet to break the SU(2) R-symmetry to U(1). We then establish the equivalence between these two multiplets through a mapping. We observe that this 32+32 multiplet is gauge equivalent to a Poincaré supergravity multiplet as it has all the compensators necessary to go from conformal supergravity to Poincaré supergravity. |
| title | Supersymmetric truncation of N=3 dilaton Weyl multiplet |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.09430 |