论文标题
来自Branes的伴随QCD $ _3 $的双重性
Dualities of Adjoint QCD$_3$ from Branes
论文作者
论文摘要
我们考虑一个“电动” $ u（n）$级$ k $ qcd $ _3 $ _3 $理论，带有一个伴随的Majorana fermion。受Brane Dynamics的启发，我们建议以$ k \ ge n/2 $庞大的$ m <0 $理论，在超对称点附近，承认$ u（k- \ frac {n} {2}）_ { - （\ frac {1} {2} k+\ \ \ \\ \\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \\\\\\\\\\\\\\\ \\ {n} {2} {2} {2}）} $'磁性'磁性'nagement'nagement'dual dual dual dual dual dual dual diul dual aighoint afacoint ofaraa fermion fermion。磁理论将IR中的磁性流向拓扑$ u（k- \ frac {n} {2}）_ { - n， - （k+\ frac {n} {2}）} $ pure chern-simons理论与电理论的动力学一致。当$ k <n/2 $磁性双重为$ u（\ frac {n} {2} -k）_ {\ frac {1} {2} {2} k+\ frac {3} {4} {4} n，n} n} $，带有一个相邻majorage majorana fermana。取决于费米质量的迹象，磁理论流向$ u（\ frac {n} {2} -k）_ {n，n} $或$ u（\ frac {n} {n} {2} {2} -K）_ {\ frac {\ frac {1} n+k，n+k，n+k，n+k，n} $ tqft。第二种磁理论，$ u（n/2+k）_ {\ frac {1} {2} k- \ frac {3} {4} {4} n，-n} $，流向$ u（\ frac {n} {n} {2} {2}+k） $ u（\ frac {n} {2}+k）_ { - （\ frac {1} {2} n-k）， - n} $ tqft。还讨论了$ $ $和$ usp $ $ $ $的二元性，并讨论了一个伴随费米昂。
We consider an 'electric' $U(N)$ level $k$ QCD$_3$ theory with one adjoint Majorana fermion. Inspired by brane dynamics, we suggest that for $k \ge N/2$ the massive $m<0$ theory, in the vicinity of the supersymmetric point, admits a $U(k-\frac{N}{2})_{-(\frac{1}{2}k+\frac{3}{4}N),-(k+\frac{N}{2})}$ 'magnetic' dual with one adjoint Majorana fermion. The magnetic theory flows in the IR to a topological $U(k-\frac{N}{2})_{-N,-(k+\frac{N}{2})}$ pure Chern-Simons theory in agreement with the dynamics of the electric theory. When $k<N/2$ the magnetic dual is $U(\frac{N}{2}-k)_{\frac{1}{2}k+\frac{3}{4}N,N}$ with one adjoint Majorana fermion. Depending on the sign of the fermion mass, the magnetic theory flows to either $U(\frac{N}{2}-k)_{N,N}$ or $U(\frac{N}{2}-k)_{\frac{1}{2}N+k,N}$ TQFT. A second magnetic theory, $U(N/2+k)_{\frac{1}{2}k-\frac{3}{4}N,-N}$, flows to either $U(\frac{N}{2}+k)_{-N,-N}$ or $U(\frac{N}{2}+k)_{-(\frac{1}{2}N-k),-N}$ TQFT. Dualities for $SO$ and $USp$ theories with one adjoint fermion are also discussed.
