Supersymmetric Yang-Mills theory and integrable systems
Oct, 199546 pages
Published in:
- Nucl.Phys.B 460 (1996) 299-334
e-Print:
- hep-th/9510101 [hep-th]
Report number:
- IASSNS-HEP-95-78
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Abstract:
The Coulomb branch of supersymmetric gauge theories in four dimensions is described in general by an integrable Hamiltonian system in the holomorphic sense. A natural construction of such systems comes from two-dimensional gauge theory and spectral curves. Starting from this point of view, we propose an integrable system relevant to the gauge theory with a hypermultiplet in the adjoint representation, and offer much evidence that it is correct. The model has an -duality group (with the central element of acting as charge conjugation); permutes the Higgs, confining, and oblique confining phases in the expected fashion. We also study more exotic phases.- gauge field theory: Yang-Mills
- supersymmetry
- Hamiltonian formalism
- integrability
- confinement
- spontaneous symmetry breaking
- duality: transformation
- symmetry: SL(2,Z)
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