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arXiv 1402.6155hep-th
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5维规范理论中的规范/引力对偶和RG流

Gauge/gravity duality and RG flows in 5d gauge theories

Alessandro Pini, Diego Rodriguez-Gomez

摘要:

我们讨论了由介子或重子算符的VEV触发的5维规范理论中的RG流。作为热身,我们明确地讨论了这些流的对应物在4d规范理论与$\mathcal{N}=2$超对称性的$A_1$理论。与$\mathcal{N}=1$的情况相反,在具有8个增压的情况下,我们需要解决更复杂的PDE。在5d的情况下,这种方程的边界条件起着至关重要的作用,以重现预期的频谱。

英文摘要:

We discuss RG flows in 5d gauge theories triggered either by VEV's of mesonic or baryonic operators. As a warm-up, we explicitly discuss the counterpart of these flows in 4d gauge theories with $\mathcal{N}=2$ supersymmetry by focusing on the $A_1$ theory. As opposed to the $\mathcal{N}=1$ case, in cases with 8 supercharges we need to solve a more involved PDE. In the 5d case the boundary conditions for such equation play a crucial role in order to reproduce the expected spectrum.

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