Bose-Fermi Degeneracies in Large $N$ Adjoint QCD

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  • Gokce Basar
  • Aleksey Cherman
  • David A. McGady
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 $S^3 \times S^1$. We focus on the weakly-coupled confining small-$S^3$ regime. If the fermions are given periodic boundary conditions on $S^1$, 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 $S^1$ size $L$, even though the bosonic and fermionic densities of states both have Hagedorn growth. Adjoint QCD stays in the confining phase for any $L \sim N^0$, 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.
Original languageEnglish
Article number016
JournalJournal of High Energy Physics
Volume2015
ISSN1126-6708
DOIs
Publication statusPublished - 4 Jun 2015
Externally publishedYes

Bibliographical note

35 pages, 5 figures. v3: further minor corrections

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