Symmetries and Interactions of $\mathcal{N}=1$ SUGRA: from Constructive and BCFW to KLT formulations
| Autor: | Chakraborty, Dibya, Díaz-Cruz, J. Lorenzo, Pérez, Jonathan Reyes, Ruiz, Pablo Ortega |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 28 pages, 5 figures, 1 table, minor typos fixed, reference added |
| Databáze: | arXiv |
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