In chiral SU(N) gauge theories with mixed one- and two-index matter, the CFL-phase coset topology yields no Skyrmions yet permits stable heavy baryons protected by unbroken symmetries, unlike vector-like models; theta anomalies on domain walls are matched without extra light modes when color is full
Domain Walls in Strongly Coupled Theories
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abstract
Domain walls in strongly coupled gauge theories are discussed. A general mechanism is suggested automatically leading to massless gauge bosons localized on the wall. In one of the models considered, outside the wall the theory is in the non-Abelian confining phase, while inside the wall it is in the Abelian Coulomb phase. Confining property of the non-Abelian theories is a key ingredient of the mechanism which may be of practical use in the context of the dynamic compactification scenarios. In supersymmetric (N=1) Yang-Mills theories the energy density of the wall can be exactly calculated in the strong coupling regime. This calculation presents a further example of non-trivial physical quantities that can be found exactly by exploiting specific properties of supersymmetry. A key observation is the fact that the wall in this theory is a BPS-saturated state.
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Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
Holographic consistency checks confirm confinement (area law), domain-wall dynamics matching YM-CS theory, and absence of stable axionic strings in a D3/O7-conifold gauge/gravity dual.
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Baryons, Skyrmions and $\theta$-periodicity anomaly in chiral and vector-like gauge theories
In chiral SU(N) gauge theories with mixed one- and two-index matter, the CFL-phase coset topology yields no Skyrmions yet permits stable heavy baryons protected by unbroken symmetries, unlike vector-like models; theta anomalies on domain walls are matched without extra light modes when color is full
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Dynamical Generation of the VY Superpotential in $N=1$ SYM: A Higher-Form Perspective
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
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Confinement in a finite duality cascade
Holographic consistency checks confirm confinement (area law), domain-wall dynamics matching YM-CS theory, and absence of stable axionic strings in a D3/O7-conifold gauge/gravity dual.