Abrikosov string in N=2 supersymmetric QED

Hou, Xinrui

doi:10.1103/physrevd.63.045015

Cited by 14 publications

(15 citation statements)

References 10 publications

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“…Their important rôle in supersymmetric gauge theories as states giving rise to topological central charges of the SUSY algebra was recognized in [3]. Self-dual vortices, both of the Nielsen-Olesen [4] and the Chern-Simons [5] type, are among the most interesting BPS defects and have been much studied in purely bosonic as well as in supersymmetric theories, see [6][7][8][9][10][11][12][13] for instance. The existence of BPS equations and a BPS bound in a non-linear sigma model with the target manifold an S 2 -sphere and R 1,2 as Minkowski space-time was investigated by B.J.…”

Section: Jhep02(2015)139mentioning

confidence: 99%

Two species of vortices in massive gauged non-linear sigma models

Izquierdo

Fuertes

Guilarte

2015

J. High Energ. Phys.

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Non-linear sigma models with scalar fields taking values on CP n complex manifolds are addressed. In the simplest n = 1 case, where the target manifold is the S 2 sphere, we describe the scalar fields by means of stereographic maps. In this case when the U(1) symmetry is gauged and Maxwell and mass terms are allowed, the model accommodates stable self-dual vortices of two kinds with different energies per unit length and where the Higgs field winds at the cores around the two opposite poles of the sphere. Allowing for dielectric functions in the magnetic field, similar and richer self-dual vortices of different species in the south and north charts can be found by slightly modifying the potential. Two different situations are envisaged: either the vacuum orbit lies on a parallel in the sphere, or one pole and the same parallel form the vacuum orbit. Besides the selfdual vortices of two species, there exist BPS domain walls in the second case. Replacing the Maxwell contribution of the gauge field to the action by the second Chern-Simons secondary class, only possible in (2 + 1)-dimensional Minkowski space-time, new BPS topological defects of two species appear. Namely, both BPS vortices and domain ribbons in the south and the north charts exist because the vacuum orbit consits of the two poles and one parallel. Formulation of the gauged CP 2 model in a reference chart shows a self-dual structure such that BPS semi-local vortices exist. The transition functions to the second or third charts break the U(1) × SU(2) semi-local symmetry, but there is still room for standard self-dual vortices of the second species. The same structures encompassing N complex scalar fields are easily generalized to gauged CP N models.

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Section: Jhep02(2015)139mentioning

confidence: 99%

Two species of vortices in massive gauged non-linear sigma models

Izquierdo

Fuertes

Guilarte

2015

J. High Energ. Phys.

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“…See [20] for a numerical computation or the first order correction that we have estimate above. Now we consider quantum corrections to SQED.…”

Section: Jhep01(2005)044mentioning

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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“…As a result, the vortex remains BPS-saturated, and its tension is proportional to the monopole charge 30,31 . When the A 2 D term is taken into account, the vortex ceases to be BPS-saturated: the correction to the vortex tension can be calculated perturbatively, giving rise to the results that the vacuum behaves as a type I superconductor.…”

Section: Non-universal Corrections In the Tension Ratios In Softly Brmentioning

confidence: 99%

“…The corrections to the vortex tension due to η can be taking into account by perturbation theory, following 31 . To first order, the equation for…”

Section: Non-universal Corrections In the Tension Ratios In Softly Brmentioning

confidence: 99%

Non-Abelian Monopoles, Vortices and Confinement

Konishi

2002

Continuous Advances in QCD 2002

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Three closely related issues will be discussed. Magnetic quarks having non-Abelian charges have been found recently to appear as the dominant infrared degrees of freedom in some vacua of softly broken N = 2 supersymmetric QCD with SU (nc) gauge group. Their condensation upon N = 1 perturbation causes confinement and dynamical symmetry breaking. We argue that these magnetic quarks can be naturally related to the semiclassical non-Abelian monopoles of the type first discussed by Goddard, Nuyts, Olive and E. Weinberg. We discuss also general properties of non-Abelian vortices and discuss their relevance to the confinement in QCD. Finally, calculation by Douglas and Shenker of the tension ratios for vortices of different N -alities in the softly broken N = 2 supersymmetric SU (N ) Yang-Mills theory, is carried to the second order in the adjoint multiplet mass. A correction to the ratios violating the sine formula is found, showing that the latter is not a universal quantity.

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Abrikosov string in N=2 supersymmetric QED

Cited by 14 publications

References 10 publications

Two species of vortices in massive gauged non-linear sigma models

Two species of vortices in massive gauged non-linear sigma models

The Holomorphic Tension of Vortices

Non-Abelian Monopoles, Vortices and Confinement

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