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  • Letter
  • Open Access

Symmetries of stationary points of the G-invariant potential and the framework of the auxiliary group

R. Krishnan*

  • Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India

  • *krishnan.rama@saha.ac.in
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Phys. Rev. D 103, L051701 – Published 17 March, 2021

DOI: https://doi.org/10.1103/PhysRevD.103.L051701

Abstract

We classify the constraints on a stationary point of the potential invariant under a finite group into intrinsic and extrinsic based on whether they are independent of the coefficients in the potential or not. We find that the symmetry group of a set of stationary points can be larger than that of the potential and the stabilizer under this group generates intrinsic constraints. By applying these findings in the framework of the auxiliary group, we show that the constraints that can only be obtained extrinsically in an elementary theory can be generated intrinsically in an effective theory.

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Phys. Rev. D 103, L051701– Published 17 March, 2021
  • Received 4 December 2020
  • Accepted 27 January 2021
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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