Work

Yang-Baxter deformed sigma models on $\mathrm{SU}(N)/\mathrm{SO}(N)$

Year: 2026

Type: preprint

Abstract: We study Yang--Baxter deformations of two-dimensional sigma models on compact symmetric spaces $\mathrm{SU}(N)/\mathrm{SO}(N)$, with particular emphasis on their ultraviolet behavior. We claim that the ultraviolet fixed point is described by the $\mathrm{SO}(N,\mathbb C)/\mathrm{SO}(N,\mathbb R)$ 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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.17362

Authors: Alexandrov, Danila, Bychkov, Alexey, Kalinichenko, Ivan, Litvinov, Alexey

Institutions: Skolkovo Institute of Science and Technology, Moscow Institute of Physics and Technology, Lomonosov Moscow State University

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Basis Foundation, Russian Science Foundation

Awards: G1309398081, G1978611789

OpenAlex ID: W7221762510

Cites: 5

Cited by:

Related to: 10