Five-Dimensional Gauge Theories and Whitham-Toda Equation
Masato Hisakado
TL;DR
This paper explores the connection between five-dimensional supersymmetric SU(N) gauge theories and integrable systems, specifically the relativistic Toda chain and Toda lattice hierarchy, highlighting their conjugate structure related to charge conjugation.
Contribution
It establishes a novel link between five-dimensional gauge theories and integrable hierarchies, revealing a conjugate structure associated with charge conjugation.
Findings
Identification of the relativistic Toda chain as a framework for 5D gauge theories
Embedding of the system into the 2D Toda lattice hierarchy
Discovery of a conjugate structure related to charge conjugation
Abstract
The five-dimensional supersymmetric SU(N) gauge theory is studied in the framework of the relativistic Toda chain. This equation can be embedded in two-dimensional Toda lattice hierarchy. This system has the conjugate structure. This conjugate structure corresponds to the charge conjugation.
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