PreprintCC BY 4.0arXiv
Yang-Baxter deformed sigma models on SU(N)/SO(N)
Abstract
We study Yang--Baxter deformations of two-dimensional sigma models on compact symmetric spaces SU(N)/SO(N), with particular emphasis on their ultraviolet behavior. We claim that the ultraviolet fixed point is described by the SO(N,ℂ)/SO(N,ℝ) non-compact WZW model together with N−1 compact free bosons. We determine the leading correction to this fixed point and identify it with the perturbation generated by the corresponding screening currents. We also extend our construction to the broader class of symmetric spaces of maximal rank.
Related
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BibTeX
@misc{alexandrov2026yangbaxter,
title = {{Yang-Baxter deformed sigma models on $\mathrmSU(N)/\mathrmSO(N)$}},
author = {Danila Alexandrov and Alexey Bychkov and Ivan Kalinichenko and Alexey Litvinov},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.17362},
eprint = {2610.17362},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.17362},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Yang-Baxter deformed sigma models on SU(N)/SO(N)
AU - Danila Alexandrov
AU - Alexey Bychkov
AU - Ivan Kalinichenko
AU - Alexey Litvinov
PY - 2026
DA - 2026/10/12
PB - arXiv
DO - 10.48550/arxiv.2610.17362
UR - https://arxiv.org/abs/2610.17362
AB - We study Yang--Baxter deformations of two-dimensional sigma models on compact symmetric spaces SU(N)/SO(N), with particular emphasis on their ultraviolet behavior. We claim that the ultraviolet fixed point is described by the SO(N,ℂ)/SO(N,ℝ) non-compact WZW model together with N−1 compact free bosons. We determine the leading correction to this fixed point and identify it with the perturbation generated by the corresponding screening currents. We also extend our construction to the broader class of symmetric spaces of maximal rank.
ER -