Dynamical symmetry breaking in supersymmetric and gauge theories

Carlino, Giuseppe; Konishi, Kenichi; Murayama, Hitoshi

doi:10.1016/s0550-3213(00)00482-x

Cited by 88 publications

(258 citation statements)

References 43 publications

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“…In contrast to the theories considered in [8], SO(n c ) gauge theories with quarks in the vector representation present a clear distinction between Higgs and confinement phases since the behavior of the Wilson loop in the spinor representation is qualitatively different in the two cases. Therefore, unlike other examples (as in [2] for SU (2)) a Higgsed-vacuum in the semiclassical regime (large m i ) must remain in the Higgs phase in the strong-coupling regime (m i → 0) as well.…”

Section: Introductionmentioning

confidence: 80%

“…In their subsequent work [2] they also showed that in theories with matter hypermultiplets, flavor symmetries are broken dynamically by the condensation of monopole multiplets transforming under certain representations of the flavor group. Although their analysis of the low-energy effective action and confinement mechanism was extended to more general theories ([3] [4] [5] [6] [7]), the dynamics of flavor symmetry breaking for more general gauge theories has only recently been investigated in [8] for SU (n c ) and USp(2n c ) gauge groups. Similar techniques, when applied to SO(n c ) gauge theories, yield results with some unexpected features.…”

Section: Introductionmentioning

confidence: 99%

“…As in [8] we shall consider adding, besides the adjoint mass, small generic nonvanishing bare masses m i for the hypermultiplets ("quarks"). Non-zero quark masses in the N = 2 theory lift the flat directions associated with Higgs/mixed branches, leaving a Coulomb branch with isolated singularities.…”

Section: Introductionmentioning

confidence: 99%

“…In the latter case, an order of magnitude agreement was found between the multiplicity of semiclassical monopole states and the number of N = 1 vacua. This fact led the authors of [8] to relate the light degrees of freedom condensing in these vacua with semiclassical monopole multiplets. A naive attempt to perform a similar analysis for SO(n c ) gauge group seems to fail because of a mismatch in the counting.…”

Section: Introductionmentioning

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: Introductionmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…In this subsection we will try to understand this vacuum structure of the gauge theory at both classical and quantum levels for a specific model (for more details, see [10,11,12,13,14,15]). For simplicity we will focus on U(N c ) theory with N f flavors and the following tree level superpotential 3…”

Section: The Vacuum Structurementioning

confidence: 99%

Supersymmetric gauge theories with flavors and matrix models

Ahn¹,

Feng²,

Ookouchi³

et al. 2004

Nuclear Physics B

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We present two results concerning the relation between poles and cuts by using the example of N = 1 U(N c ) gauge theories with matter fields in the adjoint, fundamental and antifundamental representations. The first result is the on-shell possibility of poles, which are associated with flavors and on the second sheet of the Riemann surface, passing through the branch cut and getting to the first sheet. The second result is the generalization of hep-th/0311181 (Intriligator, Kraus, Ryzhov, Shigemori, and Vafa) to include flavors. We clarify when there are closed cuts and how to reproduce the results of the strong coupling analysis by matrix model, by setting the glueball field to zero from the beginning. We also make remarks on the possible stringy explanations of the results and on generalization to SO(N c ) and USp(2N c ) gauge groups.

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The Magnetic Monopoles Seventy-five Years Later

Konishi

Lecture Notes in Physics

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Non-Abelian monopoles are present in the fully quantum mechanical low-energy effective action of many solvable supersymmetric theories. They behave perfectly as pointlike particles carrying non-Abelian dual magnetic charges. They play a crucial role in confinement and in dynamical symmetry breaking in these theories. There is a natural identification of these excitations within the semiclassical approach, which involves the flavor symmetry in an essential manner. We review, in an introductory fashion, the recent development which has led to a better understanding of the nature of non-Abelian monopoles and of their role in confinement and dynamical symmetry breaking in strongly interacting theories.

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Dynamical symmetry breaking in supersymmetric and gauge theories

Cited by 88 publications

References 43 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

Supersymmetric gauge theories with flavors and matrix models

The Magnetic Monopoles Seventy-five Years Later

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