Holography, 1-form symmetries, and confinement
Fabio Apruzzi, Marieke van Beest, Dewi S. W. Gould, Sakura Schäfer‐Nameki
Abstract
We study confinement in 4d $\mathcal{N}=1$ $SU(N)$ Super-Yang Mills (SYM) from a holographic point of view, focusing on the 1-form symmetry and its relation to chiral symmetry breaking (${\ensuremath{\chi}}_{\mathrm{SB}}$). 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 ${\ensuremath{\chi}}_{\mathrm{SB}}$ in gapped confining vacua. In the gravity dual we also identify the infrared 4d topological field theory which realizes ${\ensuremath{\chi}}_{\mathrm{SB}}$ and matches the mixed anomaly. Finally, complementing this, we derive the chiral and mixed anomalies from the little string theory realization of pure SYM.