Domain walls in supersymmetric QCD

Carlos, B. de; Hindmarsh, Mark; McNair, Neil; Moreno, José Luís Muñoz

doi:10.1016/s0920-5632(01)01518-3

Cited by 10 publications

(8 citation statements)

References 20 publications

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“…Perturbative analysis indicates that there are at most four trajectories emanating from each vacuum, and an analysis along the lines of [38] demonstrates that only two of these interpolate to the second vacuum providing true wall configurations. This conclusion is backed up by explicit numerical solutions found 7 in [17] which were confirmed in [19]. More generally, if we retain the dependence on the full 2 × 2 meson matrix, the flavor asymmetric ansatz will break the SU(2) symmetry down to U(1), inducing flavor moduli parametrizing a CP 1 sigma model on the worldvolume.…”

Section: Breaking the Flavor Symmetry And Nmentioning

confidence: 79%

“…If all remaining entries in the mass matrix m ′ are much less than Λ N −1 then the N vacua of the theory lie at weak coupling and one can reliably calculate the index ν k by counting solutions of the classical BPS equations. Thus, we conclude that to ensure the validity of weak coupling analysis the mass matrix should be of the hierarchical form (18) Nonetheless, the reason we have emphasized the N-flavor perspective is that we can restore the maximal SU(N) flavor symmetry of the superpotential, despite the presence of the hierarchical mass matrix (18), by a holomorphic field rescaling. In practice it is convenient to introduce the dimensionless fields X g f ,…”

Section: From Sym Theory To Sqcdmentioning

confidence: 97%

“…Consequently, there are no massless excitations on the wall worldvolume, other than the translational modes. Numerical analysis in [15][16][17]19] , then additional solutions will arise in pairs by permutation of the fields. Perturbative analysis indicates that there are at most four trajectories emanating from each vacuum, and an analysis along the lines of [38] demonstrates that only two of these interpolate to the second vacuum providing true wall configurations.…”

Section: Breaking the Flavor Symmetry And Nmentioning

confidence: 99%

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Counting domain walls inN=1super Yang-Mills theory

Ritz

Shifman²,

Vainshtein³

2002

Phys. Rev. D

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We study the multiplicity of BPS domain walls in N = 1 super Yang-Mills theory, by passing to a weakly coupled Higgs phase through the addition of fundamental matter. The number of domain walls connecting two specified vacuum states is then determined via the Witten index of the induced worldvolume theory, which is invariant under the deformation to the Higgs phase. The worldvolume theory is a sigma model with a Grassmanian target space which arises as the coset associated with the global symmetries broken by the wall solution. Imposing a suitable infrared regulator, the result is found to agree with recent work of Acharya and Vafa in which the walls were realized as wrapped D4-branes in IIA string theory.

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Section: Breaking the Flavor Symmetry And Nmentioning

confidence: 79%

Section: From Sym Theory To Sqcdmentioning

confidence: 97%

Section: Breaking the Flavor Symmetry And Nmentioning

confidence: 99%

See 1 more Smart Citation

Counting domain walls inN=1super Yang-Mills theory

Ritz

Shifman²,

Vainshtein³

2002

Phys. Rev. D

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“…The corresponding central charge is present in the superalgebra [9] and such solitons are 1/2-BPS saturated. In previous work [10], we studied the BPS wall spectrum in this theory, following earlier work on BPS walls in other variants of N= 1 SQCD [9,[11][12][13][14][15][16][17]. The vacuum structure is illustrated in the plane of the superpotential in Fig.…”

Section: Introductionmentioning

confidence: 99%

Enhanced worldvolume supersymmetry and intersecting domain walls inN=1supersymmetric QCD

2004

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We study the worldvolume dynamics of BPS domain walls in N= 1 SQCD with N f = N flavors, and exhibit an enhancement of supersymmetry for the reduced moduli space associated with broken flavor symmetries. We provide an explicit construction of the worldvolume superalgebra which corresponds to an N = 2 Kähler sigma model in 2+1D deformed by a potential, given by the norm squared of a U(1) Killing vector, resulting from the flavor symmetries broken by unequal quark masses. This framework leads to a worldvolume description of novel two-wall junction configurations, which are 1/4-BPS objects, but nonetheless preserve two supercharges when viewed as kinks on the wall worldvolume.

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“…• In some cases the CP walls are approximately BPS-saturated, with calculable tensions [12]. BPS domain walls in SQCD have been extensively studied in the literature [12][13][14][15][16][17][18][19][20][21]. SUSY-breaking effects on the tension may be computed perturbatively.…”

Section: Introductionmentioning

confidence: 99%

Domain walls and the CP anomaly in softly broken supersymmetric QCD

Draper

2018

Phys. Rev. D

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In ordinary QCD with light, degenerate, fundamental flavors, CP symmetry is spontaneously broken at θ = π, and domain wall solutions connecting the vacua can be constructed in chiral perturbation theory. In some cases the breaking of CP saturates an 't Hooft anomaly, and anomaly inflow requires nontrivial massless excitations on the domain walls. Analogously, CP can be spontaneously broken in supersymmetric QCD with light flavors and small soft breaking parameters. We study CP breaking and domain walls in softly broken SQCD with N f < N flavors. Relative to ordinary QCD, the supersymmetric case contains an extra light field, the η , which has interesting effects on the structure of the walls. Vanishing of the CP anomaly is associated with the existence of multiple domain wall trajectories through field space, including walls which support no nontrivial massless excitations. In cases with an anomaly such walls are forbidden, and their absence in the relevant SQCD theories can be seen directly from the geometry of the low energy field space. In the case N f = N − 1, multiple approximately-BPS walls connect the vacua. Corrections to their tensions can be computed at leading order in the soft breaking parameters, producing a phase diagram for the stable wall trajectory. We also comment on domain walls in the similar case of QCD with an adjoint and fundamental flavors, and on the impact of adding an axion in this theory. arXiv:1801.05477v1 [hep-th]

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Domain walls in supersymmetric QCD

Cited by 10 publications

References 20 publications

Counting domain walls inN=1super Yang-Mills theory

Counting domain walls inN=1super Yang-Mills theory

Enhanced worldvolume supersymmetry and intersecting domain walls inN=1supersymmetric QCD

Domain walls and the CP anomaly in softly broken supersymmetric QCD

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