Holography, 1-form symmetries, and confinement

<p>We study confinement in 4d&nbsp;<span tabindex="0">N=1</span>&nbsp;<span tabindex="0">SU(N)</span>&nbsp;Super-Yang Mills (SYM) from a holographic point of view, focusing on the 1-form symmetry and its relation to chiral symmetry breaki...

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Bibliographic Details
Main Authors: Apruzzi, F, Van Beest, M, Gould, D, Schafer-Nameki, S
Format: Journal article
Language:English
Published: American Physical Society 2021
Description
Summary:<p>We study confinement in 4d&nbsp;<span tabindex="0">N=1</span>&nbsp;<span tabindex="0">SU(N)</span>&nbsp;Super-Yang Mills (SYM) from a holographic point of view, focusing on the 1-form symmetry and its relation to chiral symmetry breaking (<span tabindex="0">&chi;SB</span>). We identify the topological couplings in the 5d truncation of the Klebanov-Strassler solution that determine the 1-form symmetry and its &rsquo;t Hooft anomalies. One coupling is a mixed 0-/1-form symmetry anomaly related to&nbsp;<span tabindex="0">&chi;SB</span>&nbsp;in gapped confining vacua. In the gravity dual we also identify the infrared 4d topological field theory which realizes&nbsp;<span tabindex="0">&chi;SB</span>&nbsp;and matches the mixed anomaly. Finally, complementing this, we derive the chiral and mixed anomalies from the little string theory realization of pure SYM.</p>