Journal of High Energy Physics (Mar 2022)

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

  • Osamu Fukushima,
  • Jun-ichi Sakamoto,
  • Kentaroh Yoshida

DOI
https://doi.org/10.1007/JHEP03(2022)158
Journal volume & issue
Vol. 2022, no. 3
pp. 1 – 20

Abstract

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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 ω. We adopt ω with two simple poles and no zeros, and each of the order defects is located at each pole. As a result, an anisotropy parameter β 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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