Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories

Edelstein, José D.; Fuertes, W. Garcia; Mas, Javier; Guilarte, J. Mateos

doi:10.1103/physrevd.62.065008

Cited by 29 publications

(25 citation statements)

References 38 publications

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“…Since then a lot of papers study confinement and formation of flux tubes in supersymmetric gauge theories [6,7,8,9,10,11,12,13,14,15,16]. One important particular feature of supersymmetric theories is the presence of modular spaces -manifolds on which scalar fields can develop arbitrary VEV's.…”

Section: Introductionmentioning

confidence: 99%

Flux tubes on Higgs branches in SUSY gauge theories

Evlampiev

Yung

2003

Nuclear Physics B

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We study flux tubes on Higgs branches with curved geometry in supersymmetric gauge theories. As a first example we consider N= 1 QED with one flavor of charges and with Higgs branch curved by adding a FayetIliopoulos (FI) term. We show that in a generic vacuum on the Higgs branch flux tubes exist but become "thick". Their internal structure in the plane orthogonal to the string is determined by "BPS core" formed by heavy fields and long range "tail " associated with light fields living on the Higgs branch. The string tension is given by the tension of "BPS core" plus contribution coming from the "tail". Next we consider N= 2 QCD with gauge group SU(2) and N f = 2 flavors of fundamental matter (quarks) with the same mass. We perturb this theory by the mass term for the adjoint field which to the leading order in perturbation parameter do not break N= 2 supersymmetry and reduces to FI term. The Higgs branch has Eguchi-Hanson geometry. We work out string solution in the generic vacuum on the Higgs branch and calculate its string tension. We also discuss if these strings can turn into semilocal strings, the possibility related to the confinement/deconfinement phase transition.

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Section: Introductionmentioning

confidence: 99%

Flux tubes on Higgs branches in SUSY gauge theories

Evlampiev

Yung

2003

Nuclear Physics B

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“…If we consider the N = 2 supersymmetric Yang-Mills theory softly broken near the monopole or dyon singularities, the Abrikosov strings develop [5]. They were discussed in the literature [6,7,8,9] previously. We can see them in the effective Lagrangians near the singularities [3], where the superpotential for the monoploes (or dyons) can be written as…”

Section: Introductionmentioning

confidence: 99%

Abrikosov string in N=2 supersymmetric QED

Hou

2001

Phys. Rev. D

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We study the Abrikosov-Nielsen-Olesen string in N = 2 supersymmetric QED with N = 2-preserving superpotential, in which case the Abrikosov string is found to be 1/2-BPS saturated. Adding a quadratic small perturbation in the superpotential breaks N = 2 supersymmetry to N = 1 supersymmetry. Then the Abrikosov string is no longer BPS saturated. The difference between the string tensions for the non-BPS and BPS saturated situation is found to be negative to the first order of the perturbation parameter.

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“…To get this information we must know the specific superpotential (see for example [12] and [21]). If the correction grows with n then T (2) < 2 T (1) and the vortices are of type I, on the contrary they are of type II.…”

Section: Type I or Type Ii?mentioning

confidence: 99%

The Holomorphic Tension of Vortices

Bolognesi¹

2005

J. High Energy Phys.

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Abstract:We study the tension of vortices in N = 2 SQCD broken to N = 1 by a superpotential W (Φ), in color-flavor locked vacua. The tension can be written as T = T BPS + T non BPS . The BPS tension is equal to 4π|T | where we call T the holomorphic tension. This is directly related to the central charge of the supersymmetry algebra. Using the tools of the Cachazo-Douglas-Seiberg-Witten solution we compute the holomorphic tension as a holomorphic function of the couplings, the mass and the dynamical scale: T = W 2 + f. A first approximation is given using the generalized Konishi anomaly in the semiclassical limit. The full quantum corrections are computed in the strong coupling regime using the factorization equations that relate the N = 2 curve to the N = 1 curve. Finally we study the limit in which the non-BPS contribution can be neglected because small with respect to the BPS one. In the case of linear superpotential the non-BPS contribution vanishes exactly and the holomorphic tension gets no quantum corrections.

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Phases of dual superconductivity and confinement in softly broken N=2 supersymmetric Yang-Mills theories

Cited by 29 publications

References 38 publications

Flux tubes on Higgs branches in SUSY gauge theories

Flux tubes on Higgs branches in SUSY gauge theories

Abrikosov string in N=2 supersymmetric QED

The Holomorphic Tension of Vortices

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