Abstract
The Coulomb branch of N = 2 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 N = 2 SU (n) gauge theory with a hypermultiplet in the adjoint representation, and offer much evidence that it is correct. The model has an SL(2, ℤ) S-duality group (with the central element - 1 of SL(2, ℤ) acting as charge conjugation); SL(2, ℤ) permutes the Higgs, confining, and oblique confining phases in the expected fashion. We also study more exotic phases.
Original language | English (US) |
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Pages (from-to) | 299-334 |
Number of pages | 36 |
Journal | Nuclear Physics B |
Volume | 460 |
Issue number | 2 |
DOIs | |
State | Published - Feb 5 1996 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics