On phases of 4d Spin/SO Yang-Mills theories
Abstract
We study the low-temperature phase diagrams of Spin(N)/SO(N)± Yang-Mills theories as functions of the θ-parameter. In particular, for every even integer N≥ 4, we find a phase diagram consistent with the center/CP mixed anomaly, via the technique of mixed gauge theory. The resulting phase diagrams are in perfect agreement with the phase diagrams of Spin(N)/SO(N)± super Yang-Mills theory softly broken by a small gaugino mass. In the case of Spin(4k) Yang-Mills for an integer k≥ 2, only two phases appear in the phase diagram, while in the Spin(4) case the phase diagram contains four SPT phases protected by the ℤ2× ℤ2 center symmetry. In the case of Spin(4k+2) Yang-Mills for a positive integer k, the phase diagram contains four SPT phases protected by the ℤ4 center symmetry.
Related
- Carrollian Yang-Mills theories in the homogeneous temporal gauge
- Batalin-Vilkovisky description of Yang-Mills theories with universal extra dimensions
- Non-Abelian Dirac oscillator in a uniform Yang--Mills background: spin--isospin mixing and singlet--triplet splitting
- The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills: a reconstructed closed form, coefficient structure, and arithmetic
- The next-to-next-to-leading order BFKL eigenvalue at odd conformal spin in planar N=4 super Yang-Mills
BibTeX
@misc{hamachika2026phases,
title = {{On phases of 4d $Spin/SO$ Yang-Mills theories}},
author = {Ryo Hamachika and Takahiro Nishinaka},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.06058},
eprint = {2611.06058},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.06058},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On phases of 4d Spin/SO Yang-Mills theories
AU - Ryo Hamachika
AU - Takahiro Nishinaka
PY - 2026
DA - 2026/11/04
PB - arXiv
DO - 10.48550/arxiv.2611.06058
UR - https://arxiv.org/abs/2611.06058
AB - We study the low-temperature phase diagrams of Spin(N)/SO(N)_± Yang-Mills theories as functions of the θ-parameter. In particular, for every even integer N≥ 4, we find a phase diagram consistent with the center/CP mixed anomaly, via the technique of mixed gauge theory. The resulting phase diagrams are in perfect agreement with the phase diagrams of Spin(N)/SO(N)_± super Yang-Mills theory softly broken by a small gaugino mass. In the case of Spin(4k) Yang-Mills for an integer k≥ 2, only two phases appear in the phase diagram, while in the Spin(4) case the phase diagram contains four SPT phases protected by the ℤ_2× ℤ_2 center symmetry. In the case of Spin(4k+2) Yang-Mills for a positive integer k, the phase diagram contains four SPT phases protected by the ℤ_4 center symmetry.
ER -