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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2406.11001 |
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| _version_ | 1866929405360603136 |
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| author | Chakraborty, Dibya Díaz-Cruz, J. Lorenzo Pérez, Jonathan Reyes Ruiz, Pablo Ortega |
| author_facet | Chakraborty, Dibya Díaz-Cruz, J. Lorenzo Pérez, Jonathan Reyes Ruiz, Pablo Ortega |
| contents | In this paper, we study the coupling of the gravity supermultiplet (graviton and gravitino) of minimal $\mathcal{N}=1$ SUGRA following a constructive approach. Firstly, we use the master formulae that follows from considering the scaling behavior of the spinor variables under the little group. Secondly, we derive the 4-point couplings using BFCW. Then, we verify these results for the general 3-point interactions that can be derived using the KLT-type relations, i.e., they can be written as the square of the coupling of the gluons and gluinos. Finally, we consider SUGRA Compton effect for graviton-gravitino. For completeness, we present in the appendix the $\mathcal{N}=1$ Sugra lagrangian in the 2-component Weyl formalism, including the proofs of SUSY and gauge invariance. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_11001 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Symmetries and Interactions of $\mathcal{N}=1$ SUGRA: from Constructive and BCFW to KLT formulations Chakraborty, Dibya Díaz-Cruz, J. Lorenzo Pérez, Jonathan Reyes Ruiz, Pablo Ortega High Energy Physics - Theory High Energy Physics - Phenomenology In this paper, we study the coupling of the gravity supermultiplet (graviton and gravitino) of minimal $\mathcal{N}=1$ SUGRA following a constructive approach. Firstly, we use the master formulae that follows from considering the scaling behavior of the spinor variables under the little group. Secondly, we derive the 4-point couplings using BFCW. Then, we verify these results for the general 3-point interactions that can be derived using the KLT-type relations, i.e., they can be written as the square of the coupling of the gluons and gluinos. Finally, we consider SUGRA Compton effect for graviton-gravitino. For completeness, we present in the appendix the $\mathcal{N}=1$ Sugra lagrangian in the 2-component Weyl formalism, including the proofs of SUSY and gauge invariance. |
| title | Symmetries and Interactions of $\mathcal{N}=1$ SUGRA: from Constructive and BCFW to KLT formulations |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.11001 |