On Integrable Deformations of CFTs and Integrable Two-Dimensional Sigma Models

@misc{alfimov2026integrable,
  title = {{On Integrable Deformations of CFTs and Integrable Two-Dimensional Sigma Models}},
  author = {Mikhail Alfimov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.26672},
  eprint = {2610.26672},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.26672},
  note = {CC BY 4.0},
}

TY  - UNPB
TI  - On Integrable Deformations of CFTs and Integrable Two-Dimensional Sigma Models
AU  - Mikhail Alfimov
PY  - 2026
DA  - 2026/10/19
PB  - arXiv
DO  - 10.48550/arxiv.2610.26672
UR  - https://arxiv.org/abs/2610.26672
AB  - In this paper, we analyze the systems of screening charges corresponding to η-deformed O(N) and $OSp(N|2m)$ sigma models. These sigma models can be represented as integrable deformations of certain conformal field theories. Based on the case of O(N) sigma models, which were conjectured in previous works by A.V. Litvinov and co-authors to be an integrable deformation of the conformal field theory corresponding to the algebras W(D(n+1|n)) and $W(D(n|n))$ for the cases N=2n+2 and N=2n+1 at n ≥ 1, respectively, we formulate a hypothesis on how to write down the system of screening charges for the conformal field theory whose integrable deformation defines the η-deformed $OSp(N|2m)$ sigma model for the case of odd N=2n+1, asymptotically free models with N−2m−2>0 and n ≥ 2, m ≥ 1. This hypothesis is explicitly verified for the cases of OSp(5|2), OSp(7|2), and OSp(7|4), which were separately investigated in the work of M.N. Alfimov and co-authors.
ER  -