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arXiv · 2112.11276

Non-Abelian Toda field theories from a 4D Chern-Simons theory

Osamu Fukushima·Jun-ichi Sakamoto·Kentaroh Yoshida
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Abstract

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.

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Osamu Fukushima, Jun-ichi Sakamoto, Kentaroh Yoshida. 2021-12-21. Non-Abelian Toda field theories from a 4D Chern-Simons theory. https://doi.org/10.1007/jhep03(2022)158

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