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Asymptotic Weyl symmetry and its anomaly in a curved spacetime

O-Kab Kwon1,*, Jeongwon Ho1,†, Sang-Heon Yi2,‡, and Sang-A Park1,§

  • *Contact author: okab@skku.edu
  • †Contact author: freejwho@gmail.com
  • ‡Contact author: shyi704@gmail.com
  • §Contact author: psang314@gmail.com
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Phys. Rev. D 113, 086001 – Published 1 April, 2026

DOI: https://doi.org/10.1103/5tfl-l5wq

Abstract

We explore an unusual symmetry in a field theory on a specific (1+1)-dimensional curved spacetime, which has an interesting interpretation as an approximate asymptotic Weyl symmetry. Unlike the conventional Weyl symmetry, the boundary term under the variation plays a crucial role in understanding for its anomaly. After converting a two-dimensional field theory on curved spacetime to an inhomogeneous field theory, we obtain the vacuum expectation value of the energy-momentum tensor. Then, we show the existence of an Unruh-like effect in the bubble wall expansion at the zero temperature.

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Phys. Rev. D 113, 086001– Published 1 April, 2026
  • Received 3 February 2026
  • Accepted 2 March 2026
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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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