Deconfinement on axion domain walls

Anber, Mohamed M.; Poppitz, Erich

doi:10.1007/jhep03(2020)124

Cited by 21 publications

(32 citation statements)

References 38 publications

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“…This number of vacua is consistent with the constraints on gapped phases of such theories recently derived in [19]. This is also the breaking pattern expected when the theory is coupled to an axion [22].…”

Section: Su(6) With a Dirac Fermion In The Two-index Anti-symmetric Rsupporting

confidence: 91%

“…with the background restricted to the unbroken Z 4k+4 , the expression (3.30) evaluates to unity and a symmetric TQFT matching the unbroken symmetries anomaly is not excluded. 22 A similar scenario with Z 8k → Z 4k symmetry breaking, due to a nonzero (ψψ) 2k condensate, holds for the AS case.…”

Section: (326)mentioning

confidence: 86%

“…We showed that matching this BCF anomaly imposes new constraints on possible scenarios for IR physics, in addition to those imposed by the "traditional" 0-form 't Hooft anomalies. When these theories are coupled to axions, the axion theory is also constrained by anomalies [22].…”

mentioning

confidence: 99%

“…The normalization and transformation properties of A(1) and B(2) are as in[4][5][6] 22. The recent ref [49].…”

mentioning

confidence: 99%

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Generalized ’t Hooft anomalies on non-spin manifolds

Anber

Poppitz

2020

J. High Energ. Phys.

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We study the mixed anomaly between the discrete chiral symmetry and general baryon-color-flavor (BCF) backgrounds in SU (N c ) gauge theories with N f flavors of Dirac fermions in representations R c of N -ality n c , formulated on non-spin manifolds. We show how to study these theories on CP 2 by turning on general BCF fluxes consistent with the fermion transition functions. We consider several examples in detail and argue that matching the anomaly on non-spin manifolds places stronger constraints on the infrared physics, compared to the ones on spin manifolds (e.g. T 4 ). We also show how to consistently formulate various chiral gauge theories on non-spin manifolds.

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Section: Su(6) With a Dirac Fermion In The Two-index Anti-symmetric Rsupporting

confidence: 91%

Section: (326)mentioning

confidence: 86%

mentioning

confidence: 99%

“…The normalization and transformation properties of A(1) and B(2) are as in[4][5][6] 22. The recent ref [49].…”

mentioning

confidence: 99%

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Generalized ’t Hooft anomalies on non-spin manifolds

Anber

Poppitz

2020

J. High Energ. Phys.

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“…In order to get an intuitive understanding, we here assume that its validity extends to the novel phase, but this is not an essential part of our discussion 5. We note that, although a similar gauge theory with four vacua has been considered in Ref [104]. by replacing the θ parameter to the dynamical axion field with massless fermions, the anomaly still requires the deconfinement on the wall.…”

mentioning

confidence: 99%

Deconfinement and CP breaking at θ=π in Yang-Mills theories and a novel phase for SU(2)

et al. 2020

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We discuss the deconfinement and the CP-breaking phase transitions at θ ¼ π in Yang-Mills theories. The 't Hooft anomaly matching prohibits the confined phase with CP symmetry and requires T dec ðθ ¼ πÞ ≤ T CP , where T dec ðθ ¼ πÞ and T CP denote the deconfinement and the CP-restoration temperatures, respectively, at θ ¼ π. We analytically study these two phase transitions in softly broken N ¼ 1 supersymmetric Yang-Mills theories on small R 3 × S 1 with the periodic boundary condition for gluinos. For most gauge groups except SU(2) in this model, we find that the inequality is saturated, so deconfinement and CP restoration occur simultaneously. We demonstrate special features of the SU(2) gauge theory: there is a finite window of two temperatures, T dec ðπÞ < T CP , which indicates the existence of a novel CP-broken deconfined phase. We also discuss an implication of the novel phase for domain walls and their junctions.

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Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales

Poppitz

Wandler

2021

J. High Energ. Phys.

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We explicitly calculate the topological terms that arise in IR effective field theories for SU(N) gauge theories on ℝ3 × 𝕊1 by integrating out all but the lightest modes. We then show how these terms match all global-symmetry ’t Hooft anomalies of the UV description. We limit our discussion to theories with abelian 0-form symmetries, namely those with one flavour of adjoint Weyl fermion and one or zero flavours of Dirac fermions. While anomaly matching holds as required, it takes a different form than previously thought. For example, cubic- and mixed-U(1) anomalies are matched by local background-field-dependent topological terms (background TQFTs) instead of chirallagrangian Wess-Zumino terms. We also describe the coupling of 0-form and 1-form symmetry backgrounds in the magnetic dual of super-Yang-Mills theory in a novel way, valid throughout the RG flow and consistent with the monopole-instanton ’t Hooft vertices. We use it to discuss the matching of the mixed chiral-center anomaly in the magnetic dual.

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Deconfinement on axion domain walls

Cited by 21 publications

References 38 publications

Generalized ’t Hooft anomalies on non-spin manifolds

Generalized ’t Hooft anomalies on non-spin manifolds

Deconfinement and CP breaking at θ=π in Yang-Mills theories and a novel phase for SU(2)

Topological terms and anomaly matching in effective field theories on ℝ3 × 𝕊1. Part I. Abelian symmetries and intermediate scales

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