Integrable deformed $T^{1,1}$ sigma models from 4D Chern-Simons theory
| Autor: | Jun-ichi Sakamoto, Osamu Fukushima, Kentaroh Yoshida |
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| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Integrable system Chern–Simons theory Sigma FOS: Physical sciences QC770-798 AdS-CFT Correspondence High Energy Physics - Theory (hep-th) Simple (abstract algebra) Nuclear and particle physics. Atomic energy. Radioactivity Metric (mathematics) Boundary value problem Integrable Field Theories Variety (universal algebra) Mathematical physics Meromorphic function |
| Zdroj: | Journal of High Energy Physics, Vol 2021, Iss 9, Pp 1-20 (2021) Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.2105.14920 |
| Popis: | Recently, a variety of deformed $T^{1,1}$ manifolds, with which 2D non-linear sigma models (NLSMs) are classically integrable, have been presented by Arutyunov, Bassi and Lacroix (ABL) [arXiv:2010.05573]. We refer to the NLSMs with the integrable deformed $T^{1,1}$ as the ABL model for brevity. Motivated by this progress, we consider deriving the ABL model from a 4D Chern-Simons (CS) theory with a meromorphic one-form with four double poles and six simple zeros. We specify boundary conditions in the CS theory that give rise to the ABL model and derive the sigma-model background with target-space metric and anti-symmetric two-form. Finally, we present two simple examples 1) an anisotropic $T^{1,1}$ model and 2) a $G/H$ $\lambda$-model. The latter one can be seen as a one-parameter deformation of the Guadagnini-Martellini-Mintchev model. Comment: 23 pages: minor modifications, references added |
| Databáze: | OpenAIRE |
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