Extended N=1 super Yang-Mills theory

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dc.creatorFerrari, Frank
dc.date2007-09-04
dc.date2007-10-29
dc.date.accessioned2026-07-07T12:59:19Z
dc.date.available2026-07-07T12:59:19Z
dc.descriptionWe solve a generalization of ordinary N=1 super Yang-Mills theory with gauge group U(N) and an adjoint chiral multiplet X for which we turn on both an arbitrary tree-level superpotential term \int d^{2}θTr W(X) and an arbitrary field-dependent gauge kinetic term \int d^{2}θTr V(X)W^αW_α. When W=0, the model reduces to the extended Seiberg-Witten theory recently studied by Marshakov and Nekrasov. We use two different points of view: a ''macroscopic'' approach, using generalized anomaly equations, the Dijkgraaf-Vafa matrix model and the glueball superpotential; and the recently proposed ''microscopic'' approach, using Nekrasov's sum over colored partitions and the quantum microscopic superpotential. The two formalisms are based on completely different sets of variables and statistical ensembles. Yet it is shown that they yield precisely the same gauge theory correlators. This beautiful mathematical equivalence is a facet of the open/closed string duality. A full microscopic derivation of the non-perturbative N=1 gauge dynamics follows.
dc.description47 pages, 3 figures, 2 appendices; v2: typos and references corrected, published in JHEP
dc.identifierhttps://arxiv.org/abs/0709.0472
dc.identifierhttp://arxiv.org/abs/0709.0472
dc.identifierJHEP 0711:001,2007
dc.identifierdoi:10.1088/1126-6708/2007/11/001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225532
dc.subjectHigh Energy Physics - Theory
dc.titleExtended N=1 super Yang-Mills theory
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