On the Calculation of Invariant Tensors in Gauge Theories

2020/09/14 by Yahya Almumin, Almumin, Yahya, Jason Baretz +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computational Physics and Python Applications #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.2009.06545

openalex publication_date 2020/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an efficient method for finding the independent invariant tensors of a gauge theory. Our method uses a theorem relating invariant tensors and D-flat directions in field space. We apply our method to several examples-- SO(3) with symmetric tensors, SU(2) with a dimension 4 representation, and SU(3) with matter in the sextet-- and find the set of independent invariant tensors in these theories.

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