Non-Abelian Toda field theories from a 4D Chern-Simons theory
| Autor: | Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida |
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| Rok vydání: | 2021 |
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| Zdroj: | Journal of High Energy Physics |
| DOI: | 10.48550/arxiv.2112.11276 |
| Popis: | We derive non-abelian Toda field theories (NATFTs) from a 4d Chern-Simons (CS) theory with two order defects by employing a certain asymptotic boundary condition. The 4d CS theory is characterized by a meromorphic 1-form $\omega$\,. We adopt $\omega$ with two simple poles and no zeros, and each of the order defects is located at each pole. As a result, an anisotropy parameter $\beta^2$ can be identified with the distance between the two defects. As examples, we can derive the (complex) sine-Gordon model and the Liouville theory. Comment: 23 pages |
| Databáze: | OpenAIRE |
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