English

Integrable crosscaps in classical sigma models

High Energy Physics - Theory 2023-04-05 v2 Mathematical Physics math.MP

Abstract

We study the integrable boundaries and crosscaps of classical sigma models. We show that there exists a classical analog of the integrability condition and KT-relation of the boundary and crosscap states of quantum spin chains. We also classify the integrable crosscaps for various sigma models including examples which are relevant in the AdS/CFT correspondence at strong coupling.

Keywords

Cite

@article{arxiv.2210.02230,
  title  = {Integrable crosscaps in classical sigma models},
  author = {Tamas Gombor},
  journal= {arXiv preprint arXiv:2210.02230},
  year   = {2023}
}

Comments

26 pages, 4 figures, 6 tables, some references added

R2 v1 2026-06-28T02:51:04.047Z