Nother Gauge Embedment approach - A review under the computational perspective via xAct.

• Grant number: 24/17006-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Effective date (Start): December 01, 2024
• Effective date (End): November 30, 2025
• Field of knowledge: Physical Sciences and Mathematics - Physics - Elementary Particle Physics and Fields
• Principal Investigator: Elias Leite Mendonça
• Grantee: Henrique Yuiti Fukushima Komada
• Host Institution: Faculdade de Engenharia (FEG). Universidade Estadual Paulista (UNESP). Campus de Guaratinguetá. Guaratinguetá , SP, Brazil

Abstract

In this project, we will review the Noether Gauge Embedding method, which is used to study duality relations between gauge theories, from a computational perspective, i.e., by implementing a calculation routine through the {\it xAct/xTras - Wolfram Mathematica} package. We aim to apply our results and methods to investigate the duality between spin-4 gauge theories, which would be an original outcome of this project.