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On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions

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arxiv hep-th/0103011 v1 pith:NA44MUZH submitted 2001-03-01 hep-th

Bobby Acharya , Cumrun Vafa This is my paper · ORCID
classification hep-th
keywords domainwallsarbitrarydegeneraciesgaugesupersymmetricyang-millsagreement
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We study the BPS domain walls of supersymmetric Yang-Mills for arbitrary gauge group. We describe the degeneracies of domain walls interpolating between arbitrary pairs of vacua. A recently proposed large N duality sheds light on various aspects of such domain walls. In particular, for the case of G = SU(N) the domain walls correspond to wrapped D-branes giving rise to a 2+1 dimensional U(k) gauge theory on the domain wall with a Chern-Simons term of level N. This leads to a counting of BPS degeneracies of domain walls in agreement with expected results.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Half-BPS Boundaries and the RG-Wall of $\mathcal{N}=2$ $SU(N)$ SYM

    hep-th 2026-06 unverdicted novelty 7.0 of 10

    A massive deformation of the T[SU(N)] theory is identified as the 3d SCFT realizing the RG-wall and half-BPS boundaries in 4d N=2 SU(N) SYM.

  2. On cusps in the $\eta'$ potential

    hep-th 2025-08 conditional novelty 7.0 of 10

    The eta-prime potential must have at least gcd(N,N_f) cusped branches when gcd(N,N_f)>1, and s-confinement is only possible when gcd(N,N_f)=1.

  3. AMSB in Truly Confining Gauge Theories

    hep-th 2026-08 conditional novelty 6.0 of 10

    Adding small AMSB to t-confining SUSY gauge theories moves the ground state to a superpotential branch and predicts discrete and flavor symmetry breaking such as Z6 to Z2 and Z16 x SU(2) to SO(2).

  4. Domain Walls in Large-$N$ QCD$_3$

    hep-th 2026-07 accept novelty 6.0 of 10

    Fluctuating the composite domain-wall profile in the bosonic dual of large-N QCD3 produces a level-N gauged WZW theory on the wall, matching anomaly-inflow expectations.

  5. Degenerate Domain Walls in Supersymmetric Theories

    hep-th 2025-01 conditional novelty 6.0 of 10

    In supersymmetric QCD with any number of flavors, the number of degenerate k-domain walls is exactly N!/((N-k)!k!), split into locally distinguishable and topologically distinct classes.

  6. (-1)-form symmetries from M-theory and SymTFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

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