Quark Number Fractionalization in N = 2 Supersymmetric SU(2) × U(1)Nf Gauge Theories

Carlino, Giuseppe; Konishi, Kenichi; Terao, Haruhiko

doi:10.1088/1126-6708/1998/04/003

Cited by 9 publications

(8 citation statements)

References 10 publications

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“…Such a connection has been confirmed in SU (2) theory with nonvanishing flavors, through the study of the flavor multiplet structure and fractional quark numbers of these monopoles [21], [22].…”

Section: Semiclassical Monopole Multiplets and Singularities Of Qmsmentioning

confidence: 71%

“…This can be easily deduced from the form of the hyperelleptic curve near the Chebyshev point of the m i = 0 theory. Writing the curve as 22) we note that near the Chebyshev point (the maximally degenerate point) n f /2 + 1 φ a 's must be "small" (i.e. vanishing in the zero mass limit) while the rest, being (perturbed) roots of the Chebyshev polynomial of the m i = 0 theory must all be finite and proportional to the N = 2 dynamical scale.…”

Section: Unequal Mass Perturbation At Chebyshev Pointsmentioning

confidence: 99%

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Vacuum structure and flavor symmetry breaking in supersymmetric SO(nc) gauge theories

Carlino¹,

Konishi²,

Kumar³

et al. 2001

Nuclear Physics B

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We determine the vacuum structure and phases of N = 1 theories obtained via a mass µ for the adjoint chiral superfield in N = 2, SO(n c ) SQCD. For large number of flavors these theories have two groups of vacua. The first exhibits dynamical breaking of flavor symmetry USp(2n f ) → U (n f ) and arises as a relevant deformation of a nontrivial superconformal theory. These are in the confined phase. The second group, in an IR-free phase with unbroken flavor symmetry, is produced from a Coulomb branch singularity with Seiberg's dual gauge symmetry. In the large-µ regime both groups of vacua are well-described by dual quarks and mesons, and dynamical symmetry breaking in the first group occurs via meson condensation. We follow the description of these vacua from weak to strong coupling and demonstrate a nontrivial agreement between the phases and the number of vacua in the two regimes. We construct the semiclassical monopole flavor multiplets and argue that their multiplicity is consistent with the number of N = 1 vacua.

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Section: Semiclassical Monopole Multiplets and Singularities Of Qmsmentioning

confidence: 71%

Section: Unequal Mass Perturbation At Chebyshev Pointsmentioning

confidence: 99%

Vacuum structure and flavor symmetry breaking in supersymmetric SO(nc) gauge theories

Carlino¹,

Konishi²,

Kumar³

et al. 2001

Nuclear Physics B

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“…One point touched on briefly in passing concerns the fractional fermion number, which appears as the phase of the CFIV index counting BPS states in 1+1D, and it is natural to ask whether it has a similar interpretation in the bulk. The natural point of contact is the fractional quark charge of dyonic states, given by 2π∆S i = Im(∂Z kl /∂m i ) for the i th flavor [40,41,42], which is analogous to the Witten effect shifting the electric charge [24], and indeed is equivalent at the baryonic root. For a given extremal point e k , we have the comparison,…”

Section: Discussionmentioning

confidence: 99%

SuperconformalRcharges and dyon multiplicities inN=2gauge theories

Ritz

2007

Phys. Rev. D

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N = (2, 2) theories in 1+1D exhibit a direct correspondence between the R-charges of chiral operators at a conformal point and the multiplicities of BPS kinks in a massive deformation, as shown by Cecotti and Vafa. We obtain an analogous relation in 3+1D for N = 2 gauge theories that are massive perturbations of Argyres-Douglas fixed points, utilizing the geometric engineering approach to N = 2 vacua within IIB string theory. In this case the scaling dimensions of a certain subset of chiral operators at the UV fixed point are related to the multiplicities of BPS dyons. When the Argyres-Douglas SCFT is realized at the root of a baryonic Higgs branch, this translation from 1+1D to 3+1D can be understood physically from the relation between the bulk dynamics and the N = (2, 2) worldsheet dynamics of vortices in the baryonic Higgs phase. Under a relevant perturbation, the BPS kink multiplicity on the vortex worldsheet translates to that of the bulk dyonic states. The latter viewpoint suggests the 3+1D version of the Cecotti-Vafa relation may hold more generally, and simple tests provide evidence in favor of this for more generic choices of the baryonic root.

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“…Some of these couplings have a nice physical interpretation. In[17] it has been shown that Re(τ af ) is related to the physical baryon numbers of the BPS states by a generalized Witten effect. On the other hand, in the topological version of the N = 2 theory, the coupling τ 00 appears as a contact term for a family of operators[14,15,16].…”

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confidence: 99%

Duality symmetry in softly broken N = 2 gauge theories

Mariño¹,

Zamora²

1998

Nuclear Physics B

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We study the soft breaking of N = 2 self-dual gauge theories down to N = 0 by promoting the coupling constant and hypermultiplet masses to spurions, and we analyze the microscopic duality symmetry in the resulting models. Explicit formulae are given for the Seiberg-Witten periods and couplings in the case of SU (2), and we perform a numerical study of the non-supersymmetric vacuum structure in the case of the massdeformed N = 4 SU(2) gauge theory. Although the softly broken model has a well-defined behavior under the duality symmetry, the stable vacua are in a confining phase. We also extend some of the results to the self-dual theories with classical gauge groups, and we obtain the RG equation for these models.

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Quark Number Fractionalization in N = 2 Supersymmetric SU(2) × U(1)^N_f Gauge Theories

Cited by 9 publications

References 10 publications

Vacuum structure and flavor symmetry breaking in supersymmetric SO(nc) gauge theories

Vacuum structure and flavor symmetry breaking in supersymmetric SO(nc) gauge theories

SuperconformalRcharges and dyon multiplicities inN=2gauge theories

Duality symmetry in softly broken N = 2 gauge theories

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