Non-Abelian confinement near nontrivial conformal vacua

Konishi, Kenichi; Marmorini, Giacomo; Yokoi, Naoto

doi:10.1016/j.nuclphysb.2006.02.023

Cited by 8 publications

(11 citation statements)

References 68 publications

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“…An analogous question can be (and should be) asked about the Seiberg's "dual quarks" in N = 1 SQCD [13]. Actually, the latter can be interpreted as the GNOW monopoles becoming light due to the dynamics, at least in SU(N) theories [14]. For SO(N) or in USp(2N) theories the relation between Seiberg duals and GNOW monopoles are less clear [14].…”

Section: Introduction and Discussionmentioning

confidence: 99%

“…Actually, the latter can be interpreted as the GNOW monopoles becoming light due to the dynamics, at least in SU(N) theories [14]. For SO(N) or in USp(2N) theories the relation between Seiberg duals and GNOW monopoles are less clear [14]. For instructive discussions on the relation between Seiberg duals and semiclassical monopoles in a class of N = 1 SO(N) models with matter fields in vector and spinor representations, see Strassler [15].…”

Section: Introduction and Discussionmentioning

confidence: 99%

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Non-Abelian duality from vortex moduli: A dual model of color-confinement

et al. 2007

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It is argued that the dual transformation of non-Abelian monopoles occurring in a system with gauge symmetry breaking G -> H is to be defined by setting the low-energy H system in Higgs phase, so that the dual systern is in confinement phase. The transformation law of the monopoles follows from that of monopole-vortex mixed configurations in the system (with a large hierarchy of energy scales, v(1) >> v(2)) G (v1)-> H (v2)-> 1, under an unbroken, exact color-flavor diagonal symmetry HC+F similar to (H) over tilde. The transformation property among the regular monopoles characterized by pi(2)(G/H), follows from that among the nonAbelian vortices with flux quantized according to pi, (H), via the isomorphism pi(1)(G) similar to pi(1)(H)/pi(2)(G/H). Our idea is tested against the concrete model s-softly-broken N = 2 supersymmetric SU(N), SO(N) and USp(2N) theories, with appropriate number of flavors. The results obtained in the semiclassical regime (at v(1) >> v(2) >> Lambda) of these models are consistent with those inferred from the fully quantum- mechanical low-energy effective action of the systems (at v(1 center dot) v(2) similar to Lambda). (c) 2007 Elsevier B.V. All rights reserved

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Section: Introduction and Discussionmentioning

confidence: 99%

Section: Introduction and Discussionmentioning

confidence: 99%

Non-Abelian duality from vortex moduli: A dual model of color-confinement

et al. 2007

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“…There is now a large literature studying the dynamics of vortices in different theories with N = 1 supersymmetry, much of it motivated by the ideas of dual confinement that were alluded to in Section 2.3. I refer the reader the original papers [49,50,51,84,86,88,92,98,99,101,102,103] and the review articles [22,23,52] for more details. To end this article, I would like to mention what, in my opinion, is an interesting open problem in this area: what does the vortex string know about Seiberg duality [100]?…”

Section: Further Modelsmentioning

confidence: 99%

Quantum vortex strings: A review

2009

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The quantum worldsheet dynamics of vortex strings contains information about the 4d non-Abelian gauge theory in which the string lives. Here I tell this story. The string worldsheet theory is typically some variant of the CP N −1 sigma-model, describing the orientation of the string in a U(N) gauge group. Qualitative parallels between 2d sigma-models and 4d non-Abelian gauge theories have been known since the 1970s. The vortex string provides a quantitative link between the two. In 4d theories with N = 2 supersymmetry, the exact BPS spectrum of the worldsheet coincides with the bulk spectrum in 4d. Moreover, by tuning parameters, the CP N −1 sigmamodel can be coaxed to flow to an interacting conformal fixed point which is related to the 4d Argyres-Douglas fixed point. For theories with N = 1 supersymmetry, the worldsheet theory suffers dynamical supersymmetry breaking and, more interestingly, supersymmetry restoration, in a way which captures the physics of Seiberg's quantum deformed moduli space. Adams Prize Essay

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“…What was not known in earlier studies [7,8,18] is what happens in the singular Chebyshev vacua (EHIY points), and if the system would be brought into confinement phase, which kind of confinement phase it would be. Since such a system apparently involved (infinitely) stronglycoupled, relatively nonlocal monopoles and dyons, it was not at all evident whether or not the standard (weakly-coupled) dual Higgs picture worked.…”

Section: Discussionmentioning

confidence: 94%

New confinement phases from singular SCFT

Giacomelli

Konishi

2013

J. High Energ. Phys.

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New types of confining phase emerge when some singular SCFT's appearing as infrared fixed points of N = 2 supersymmetric QCD (SQCD) are deformed by an N = 1 adjoint mass term. We make further checks on the Gaiotto-Seiberg-Tachikawa (GST) description of these vacua against the symmetry and vacuum counting argument, and show that the GST variables correctly describe these systems, brought into confinement phase by the N = 1 perturbation. Several examples of such vacua, U Sp(2N ) and SU (N ) theories with four flavors and SO(N ) theories with one or two flavors, are discussed.

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Non-Abelian confinement near nontrivial conformal vacua

Cited by 8 publications

References 68 publications

Non-Abelian duality from vortex moduli: A dual model of color-confinement

Non-Abelian duality from vortex moduli: A dual model of color-confinement

Quantum vortex strings: A review

New confinement phases from singular SCFT

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