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

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arxiv 2406.11001 v2 pith:U3UJ5LJL submitted 2024-06-16 hep-th hep-ph

Dibya Chakraborty , J. Lorenzo Díaz-Cruz , Jonathan Reyes Pérez , Pablo Ortega Ruiz This is my paper · ORCID
classification hep-thhep-ph
keywords sugramathcalconstructivecouplinginteractionspointappendixapproach
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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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  1. A Supersymmetric $w_{1+\infty}$ Symmetry, the Extended Supergravity and the Celestial Holography

    hep-th 2025-01 reject novelty 5.0 of 10

    An N=4 supersymmetric w_{1+∞} algebra at λ=1/4 is proposed as the celestial soft current algebra of N=4 SO(4) supergravity, with truncations covering N=2,3 and matter-coupled cases.

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