On integrable systems and supersymmetric gauge theories
Copyright policy )On integrable systems and supersymmetric gauge theories
The properties of the N=2 SUSY gauge theories underlying the Seiberg-Witten hypothesis are discussed. The main ingredients of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential are presented, the invariant sense of these definitions is illustrated. Recently found exact nonperturbative solutions to N=2 SUSY gauge theories are formulated using the methods of the theory of integrable systems and where possible the parallels between standard quantum field theory results and solutions to integrable systems are discussed.
LaTeX, 38 pages, no figures; based on the lecture given at INTAS School on Advances in Quantum Field Theory and Statistical Mechanics, Como, Italy, 1996; minor changes, few references added
- Astro Space Center Russian Federation
- P.N. Lebedev Physical Institute of the Russian Academy of Sciences Russian Federation
- Physical Sciences Division Russian Federation
- Institute on Taxation and Economic Policy United States
High Energy Physics - Theory, finite-gap solutions, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, supersymmetric gauge theories, FOS: Physical sciences, Seiberg-Witten hypothesis, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Yang-Mills and other gauge theories in quantum field theory
High Energy Physics - Theory, finite-gap solutions, High Energy Physics - Theory (hep-th), Supersymmetric field theories in quantum mechanics, supersymmetric gauge theories, FOS: Physical sciences, Seiberg-Witten hypothesis, Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems, Yang-Mills and other gauge theories in quantum field theory
citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).29 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!