QCD domain walls, Chern-Simons theories and holography

Abstract

Massive QCD at $\theta =\pi$ breaks CP spontaneously and admits domain walls whose dynamics and phases depend on the number of flavors and their masses. We discuss these issues within the Witten-Sakai-Sugimoto model of holographic QCD. Besides showing that this model reproduces all QCD expectations, we address two interesting claims in the literature. The first is about the possibility that the QCD domain-wall theory is fully captured by three-dimensional physics, only. The second regards the existence of quantum phases in certain Chern-Simons theories coupled to fundamental matter. Both claims are supported by the string theory construction.

25 pages, 2 figures. v2: refs added, typos corrected, some clarifications in section 3. v3: minor improvements, ref added

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• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
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• Time-Reversal Breaking in QCD${}_4$, Walls, and Dualities in 2+1 Dimensions
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• Embedding three-dimensional bosonization dualities into string theory
• Theta dependence in Holographic QCD
• Phases of QCD${}_3$ from Non-SUSY Seiberg Duality and Brane Dynamics
• Critical behavior of gauge theories and Coulomb gases in three and four dimensions
• Vacuum structure of Yang-Mills theory as a function of $\theta$
• Domain Walls and the $CP$ Anomaly in Softly Broken Supersymmetric QCD
• Neutron electric dipole moment from gauge/string duality
• Domain wall moduli in softly-broken SQCD at $\bar{\theta }=\pi$

Cited by in corpus (22)

• Domain walls in high-T SU(N) super Yang-Mills theory and QCD(adj)
• The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade
• Anomaly matching in QCD thermal phase transition
• Living on the walls of super-QCD
• Baryon as a Quantum Hall Droplet and the Cheshire Cat Principle
• From 3d dualities to hadron physics
• Baryons as Quantum Hall Droplets
• Metastable Vacua in Large-$N$ QCD${}_3$
• Line operators in Chern-Simons-Matter theories and Bosonization in Three Dimensions II -Perturbative Analysis and All-loop Resummation
• Domain walls and deconfinement: a semiclassical picture of discrete anomaly inflow
• Vacuum structure of large $N$ QCD${}_3$ from holography
• Non-derivative Axionic Couplings to Nucleons at large and small N
• Hall Droplet Sheets in Holographic QCD
• Charting the phase diagram of QCD${}_3$
• Crossing Symmetry in Matter Chern-Simons Theories at finite $N$ and $k$
• Phases of $\mathbf{U}({\mathbf{N}}_{\mathbf{c}})$ QCD${}_3$ from Type 0 Strings and Seiberg Duality
• Domain Walls in 4d N=1 Supersymmetric Yang-Mills
• Confinement on ${\mathbb{R}}^3\times {\mathbb{S}}^1$ and Double-String Collapse
• Generalization of QCD${}_3$ Symmetry-Breaking and Flavored Quiver Dualities
• Notes on $\mathcal{N}=1$ QCD${}_3$ with baryon superpotential
• Comments on Holographic Level/Rank Dualities
• Interface Junctions in QCD${}_4$