Spectral sum rules for confining large-N theories

Abstract

We consider asymptotically-free four-dimensional large-$N$ gauge theories with massive fermionic and bosonic adjoint matter fields, compactified on squashed three-spheres, and examine their regularized large-$N$ confined-phase spectral sums. The analysis is done in the limit of vanishing 't Hooft coupling, which is justified by taking the size of the compactification manifold to be small compared to the inverse strong scale ${\Lambda }^{-1}$. Our results motivate us to conjecture some universal spectral sum rules for these large $N$ gauge theories.

25 pages, 2 figures. v2: fixed typos, added references, and some minor improvements to discussion

References in corpus (5)

• Cardy Formulae for SUSY Theories in d=4 and d=6
• Higher spins in AdS_5 at one loop: vacuum energy, boundary conformal anomalies and AdS/CFT
• Partition function of free conformal higher spin theory
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Cited by in corpus (6)

• One-loop Test of Free SU(N) Adjoint Model Holography
• Emergent Dimensions and Braneworlds from Large-N Confinement
• Bose-Fermi cancellations without supersymmetry
• Superconformal index of higher derivative $\mathcal{N}=1$ multiplets in four dimensions
• Temperature-reflection I: field theory, ensembles, and interactions
• Temperature-reflection II: Modular Invariance and T-reflection