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A universality class is an equivalence class of physical models – field theories, quantum field theories, or models of classical or quantum statistical physics – where the equivalence is defined by two or several models' having the same mathematical description of the behavior at very long time scales and distance scales. So if two models' behavior at very ...

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The name of DMRG is a bit misleading: the modern view is that it does not really have much to do with the idea of real-space renormalization (although that might be a motivation for Steve White to develop it, following the success of Wilson's numerical RG). DMRG is essentially a variational method based on matrix product state(MPS) representation of the ...

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Note: see comments for generalization from scalar fields to higher spins. I shall do the $2$-point case and leave the $3$-point one to you as an exercise. The canonical reference which I'm using is Di Francesco, Mathieu and Senechal. This is pretty much obligatory reading if you're interested in conformal field theory. Let $\phi_1$ and $\phi_2$ be two ...

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This is a very broad question and therefore impossible to answer completely, but I will try to answer some questions and refer to some literature. Your statement of the AdS/CFT correspondence was not quite complete: Type IIb string theory on asymptotically $AdS_5\times S^5$ is equivalent to $\mathcal{N}=4$ super Yang-Mills theory In the limit of large ...

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Here are a couple quick and dirty ways to count these operators: Compute the conformal block expansion of the four-point function $\langle \phi\phi\phi\phi\rangle$. This will only contain blocks with $\Delta-\ell=d-2$. This is done in http://arxiv.org/abs/1009.5985, equation 64. Compute the character of the conformal group acting on operators in the ...

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