Topological Model for Domain Walls in (Super-)Yang-Mills Theories

Abstract

We derive a topological action that describes the confining phase of (Super-)Yang-Mills theories with gauge group $SU(N)$, similar to the work recently carried out by Seiberg and collaborators. It encodes all the Aharonov-Bohm phases of the possible non-local operators and phases generated by the intersection of flux tubes. Within this topological framework we show that the worldvolume theory of domain walls contains a Chern-Simons term at level $N$ also seen in string theory constructions. The discussion can also illuminate dynamical differences of domain walls in the supersymmetric and non-supersymmetric framework. Two further analogies, to string theory and the fractional quantum Hall effect might lead to additional possibilities to investigate the dynamics.

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Cited by in corpus (22)

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• On time-reversal anomaly of 2+1d topological phases
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• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• QCD domain walls, Chern-Simons theories and holography
• Living on the walls of super-QCD
• Novel 3d bosonic dualities from bosonization and holography
• Chern-Simons Theory in SIM(1) Superspace
• Vector mesons on the wall
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• On the Global Structure of Deformed Yang-Mills Theory and QCD(adj) on ${\mathbb{R}}^3\times {\mathbb{S}}^1$
• Anomalies for anomalous symmetries
• Stückelberg Formulation of Holography
• Domain Walls in 4d N=1 Supersymmetric Yang-Mills
• Mildly Flavoring domain walls in SU(N) SQCD: baryons and monopole superpotentials
• Bulk-boundary correspondence between charged, anyonic strings and vortices
• Mildly Flavoring Domain Walls in Sp(N) SQCD
• Interface Junctions in QCD${}_4$