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Five Dimensional Gauge Theories and Relativistic Integrable Systems
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abstract
We propose a non-perturbative solution of N=2 supersymmetric gauge theory in five dimensions compactified on circle of a radius $R$. We consider the cases of the pure gauge theory as well as the theories with matter in the fundamental and in the adjoint representations. The pure theory as well as the one with adjoint hypermultiplet give rise to the known relativistic integrable systems with ${1\over{R}}$ playing the r\^ole of the speed of light. The theory with adjoint hypermultiplet exhibits some interesting finiteness properties. Talk given at the III International Conference ``Conformal Field Theories and Integrable Models'', Chernogolovka, June 23-30 1996
Forward citations
Cited by 5 Pith papers
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Dimers for Relativistic Toda Models with Reflective Boundaries
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$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory
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Refined Vafa-Witten invariants for toric surfaces from supersymmetric localization in 5D gauge theory
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On classification of rank two theories with eight supercharges Part III: Seiberg-Witten geometry
The abstract claims rank-two Seiberg-Witten geometries can be systematized via one-parameter curve families y^2 = f(x,t), with f fixed by singular fibers at t = infinity.
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Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichmüller theory in parallel with class S gauge theory and BPS spectra.
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