TY - JOUR
T1 - Supersymmetric Yang-Mills theory and integrable systems
AU - Donagi, Ron
AU - Witten, Edward
N1 - Funding Information:
I Research supported in part by NSF grant DMS95-03249 and Unite mixte de service de I'institut H. PoincarE, CNRS - UniversitE Pien'e et Marie Curie, Paris. 2 Research supported in part by NSF grant PHY92-453.
PY - 1996/2/5
Y1 - 1996/2/5
N2 - 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.
AB - 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.
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U2 - 10.1016/0550-3213(95)00609-5
DO - 10.1016/0550-3213(95)00609-5
M3 - Article
AN - SCOPUS:0030569824
SN - 0550-3213
VL - 460
SP - 299
EP - 334
JO - Nuclear Physics B
JF - Nuclear Physics B
IS - 2
ER -