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arXiv · 2406.11001

Symmetries and Interactions of $\mathcal{N}=1$ SUGRA: from Constructive and BCFW to KLT formulations

Dibya Chakraborty·J. Lorenzo Díaz-Cruz·Jonathan Reyes Pérez·Pablo Ortega Ruiz
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Abstract

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.

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Dibya Chakraborty, J. Lorenzo Díaz-Cruz, Jonathan Reyes Pérez, Pablo Ortega Ruiz. 2024-06-16. Symmetries and Interactions of $\mathcal{N}=1$ SUGRA: from Constructive and BCFW to KLT formulations. https://arxiv.org/abs/2406.11001

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