Bose-Fermi Degeneracies in Large $N$ Adjoint QCD
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- 10.1007_JHEP07(2015)016
Final published version, 828 KB, PDF document
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 language | English |
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Article number | 016 |
Journal | Journal of High Energy Physics |
Volume | 2015 |
ISSN | 1126-6708 |
DOIs | |
Publication status | Published - 4 Jun 2015 |
Externally published | Yes |
Bibliographical note
35 pages, 5 figures. v3: further minor corrections
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