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Supergravity Component Reduction with Computer Algebra

2024/06/28 by Gregory Gold, Gold, Gregory, Saurish Khandelwal +3
Engineering · Physics and Astronomy · Mathematics · #Particle Accelerators and Free-Electron Lasers #Particle physics theoretical and experimental studies #Algebraic and Geometric Analysis

paper · pdf · doi:10.48550/arxiv.2406.19687

Abstract

Using an interplay between superspace and component superconformal tensor calculus techniques, recently, the off-shell construction of the supersymmetric extension of the three independent curvature-squared invariants for minimal (N = 1) gauged supergravity in five dimensions (5D) was completed. A key ingredient in obtaining these results is the implementation of computer algebra algorithms. In this report, we describe how to use cadabra to systematically study component reduction from superspace with computer algebra in the case of 5D, N = 1 supergravity.

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