Bose-Fermi degeneracies in large N adjoint QCD

Basar, Gokce; Cherman, Aleksey; McGady, David

doi:10.1007/JHEP07(2015)016

Bose-Fermi degeneracies in large N adjoint QCD

Journal Article · Mon Jul 06 00:00:00 EDT 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2015)016· OSTI ID:1454582

Basar, Gokce ^[1]; Cherman, Aleksey ^[2]; McGady, David ^[3]

Univ. of Maryland, College Park, MD (United States). Dept. of Physics; Stony Brook Univ., Stony Brook, NY (United States). Dept. of Physics and Astronomy; None
Univ. of Minnesota, Minneapolis, MN (United States). School of Physics and Astronomy
Princeton Univ., Princeton, NJ (United States). Dept. of Physics; Univ. of Tokyo, Chiba (Japan). Kavli IPMU

Here, we analyze the large N limit of adjoint QCD, an SU(N) gauge theory with N _f flavors of massless adjoint Majorana fermions, compactified on S³ × S¹. We focus on the weakly-coupled confining small-S³ regime. If the fermions are given periodic boundary conditions on S¹, we show that there are large cancellations between bosonic and fermionic contributions to the twisted partition function. These cancellations follow a pattern previously seen in the context of misaligned supersymmetry, and lead to the absence of Hagedorn instabilities for any S¹ size L, even though the bosonic and fermionic densities of states both have Hagedorn growth. Adjoint QCD stays in the confining phase for any L ~ N⁰, explaining how it is able to enjoy large N volume independence for any L. The large N boson-fermion cancellations take place in a setting where adjoint QCD is manifestly non-supersymmetric at any finite N, and are consistent with the recent conjecture that adjoint QCD has emergent fermionic symmetries in the large N limit.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of Minnesota, Minneapolis, MN (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: FG02-88ER40388; FG02-93ER40762; SC0011842

OSTI ID:: 1454582

Alternate ID(s):: OSTI ID: 22582420

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 7 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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