Skyrmions, Quantum Hall Droplets, and one current to rule them all

Karasik, Avner

doi:10.21468/scipostphys.9.1.008

Cited by 20 publications

(66 citation statements)

References 35 publications

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“…• The anomaly between the θ-periodicity and G sub . Under the 2π shift of θ, the unnormalized expectation value X[ψ] θ of some operator X[ψ] transforms as 20) for the choice of the counter term eq. (3.16).…”

Section: Jhep03(2021)023mentioning

confidence: 99%

“…This means that it is expected that the domain wall of η supports a CS theory on it. However, this explanation is rather heuristic and there are also proposals that such a CS theory is replaced by a topologically trivial gapped theory when light quarks are added to the Yang-Mills theory [20,21].…”

Section: Introductionmentioning

confidence: 99%

“…The pancake story provides a new insight into the role of the vector mesons (ρ and ω) as the dual gluons [20][21][22][23] in the sense of the Seiberg duality in N = 1 supersymmetric QCD [24]. The interpretation of the vector mesons as the Seiberg dual gauge boson has been discussed in literature [25][26][27][28][29][30][31] where the vector mesons are identified as the Higgsed magnetic gauge bosons.…”

Section: Introductionmentioning

confidence: 99%

“…The effective theory we derived is quite different from the proposals in refs. [20,21], where the theory on the pancake is claimed to be a CS Higgs theory of the vector mesons. We argue that the CS theory, not CS Higgs theory, is required by the matching of the anomaly while the vector mesons mix with the gauge field of the CS theory on the edge of the pancake.…”

Section: Introductionmentioning

confidence: 99%

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Vector mesons on the wall

Kitano

Matsudo

2021

J. High Energ. Phys.

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A domain-wall configuration of the η′ meson bounded by a string (called a pancake or a Hall droplet) is recently proposed to describe the baryons with spin Nc/2. In order to understand its baryon number as well as the flavor quantum number, we argue that the vector mesons (the ρ and ω mesons) should play an essential role for the consistency of the whole picture. We determine the effective theory of large-Nc QCD with Nf massless fermions by taking into account a mixed anomaly involving the θ-periodicity and the global symmetry. The anomaly matching requires the presence of a dynamical domain wall on which a $$ \mathrm{U}{\left({N}_f\right)}_{-{N}_c} $$ U N f − N c Chern-Simons theory is supported. We consider the boundary conditions that should be imposed on the edge of the domain wall, and conclude that there should be a boundary term that couples the $$ \mathrm{U}{\left({N}_f\right)}_{-{N}_c} $$ U N f − N c gauge field to the vector mesons. We discuss the impact on physics of the chiral phase transition and the relation to the “duality” of QCD.

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Section: Jhep03(2021)023mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vector mesons on the wall

Kitano

Matsudo

2021

J. High Energ. Phys.

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“…See[41] for discussions on the connections between the N f = 1 quantum Hall droplet and the N f > 1 Skyrmions.…”

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confidence: 99%

Interface junctions in QCD${}_4$

Gorantla

Lam

2021

SciPost Phys.

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We study 3+1 dimensional SU(N)SU(N) Quantum Chromodynamics (QCD) with N_fNf degenerate quarks that have a spatially varying complex mass. It leads to a network of interfaces connected by interface junctions. We use anomaly inflow to constrain these defects. Based on the chiral Lagrangian and the conjectures on the interfaces, characterized by a spatially varying \thetaθ-parameter, we propose a low-energy description of such networks of interfaces. Interestingly, we observe that the operators in the effective field theories on the junctions can carry baryon charges, and their spin and isospin representations coincide with baryons. We also study defects, characterized by spatially varying coupling constants, in 2+1 dimensional Chern-Simons-matter theories and in a 3+1 dimensional real scalar theory.

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Anomalies for anomalous symmetries

Karasik

2022

J. High Energ. Phys.

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4d gauge theories with massless fermions typically have axial U(1) transformations that suffer from the ABJ anomaly. One can modify the theory of interest by adding more fields in a way that restores the axial symmetry, and use it to derive rigorous ’t Hooft anomaly matching conditions. These conditions are not valid for the original theory of interest, but for the modified theory. We show that the modification can be done in a specific way that allows us to relate the dynamics of the modified theory to the dynamics of the original theory. In this way, the anomaly matching conditions of the modified theory can be used to learn new things on the original theory even though they involve axial transformations which are not a symmetry of the original theory. We describe this method and discuss some applications to various examples.

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Skyrmions, Quantum Hall Droplets, and one current to rule them all

Cited by 20 publications

References 35 publications

Vector mesons on the wall

Vector mesons on the wall

Interface junctions in QCD${}_4$

Anomalies for anomalous symmetries

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