Pure \( \mathcal{N}=2 \) super Yang-Mills and exact WKB. (English) Zbl 1388.81676
Summary: We construct planar black hole solutions in \(\mathrm{ AdS}_3\) and \(\mathrm{ AdS}_4\) in which the boundary CFT is perturbed by marginally relevant quenched disorder. We show that the entropy density of the horizon has the scaling temperature dependence \(s\sim T^{(d-1)/z}\) (with \(d = 2, 3\)). The dynamical critical exponent \(z\) is computed numerically and, at weak disorder, analytically. These results lend support to the claim that the perturbed CFT flows to a disordered quantum critical theory in the IR.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
Keywords:
supersymmetric gauge theory; nonperturbative effects; conformal and W symmetry; topological stringsReferences:
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