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We study confinement in 4d N=1 SU (N) Super-Yang Mills (SYM) from a holographic point of view, focusing on the 1-form symmetry and its relation to chiral symmetry breaking (ₒ₁). We identify the topological couplings in the 5d truncation of the Klebanov-Strassler solution that determine the 1-form symmetry and its 't Hooft anomalies. One coupling is a mixed 0-/1-form symmetry anomaly related to ₒ₁ in gapped confining vacua. In the gravity dual we also identify the infrared 4d topological field theory which realizes ₒ₁ and matches the mixed anomaly. Finally, complementing this, we derive the chiral and mixed anomalies from the little string theory realization of pure SYM.
Apruzzi et al. (Thu,) studied this question.