Modularity and 4D-2D spectral equivalences for large-N gauge theories with adjoint matter

Abstract

In recent work, we demonstrated that the confined-phase spectrum of non-supersymmetric pure Yang-Mills theory coincides with the spectrum of the chiral sector of a two-dimensional conformal field theory in the large-$N$ limit. This was done within the tractable setting in which the gauge theory is compactified on a three-sphere whose radius is small compared to the strong length scale. In this paper, we generalize these observations by demonstrating that similar results continue to hold even when massless adjoint matter fields are introduced. These results hold for both thermal and $(-1{)}^F$-twisted partition functions, and collectively suggest that the spectra of large-$N$ confining gauge theories are organized by the symmetries of two-dimensional conformal field theories.

51 pages, LaTeX, 3 figures

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• Cheshire Cat resurgence, Self-resurgence and Quasi-Exact Solvable Systems
• Anomalies, a mod 2 index, and dynamics of 2d adjoint QCD
• Emergent Dimensions and Braneworlds from Large-N Confinement
• Bose-Fermi cancellations without supersymmetry
• L-functions for Meromorphic Modular Forms and Sum Rules in Conformal Field Theory
• Flow of Hagedorn singularities and phase transitions in large $N$ gauge theories