A survey of ideas, techniques and results from d=5 supergravity for the conformal and mass-perturbed phases of d=4 N=4 Super-Yang-Mills theory.

A number of recent papers have provided evidence that practical design questions about neural networks may be tackled theoretically by studying the behavior of random networks. However, until now the tools available for analyzing random neural networks have been relatively ad hoc. In this work, we show that the distribution of pre-activations in random neural networks can be exactly mapped onto...

We carry out field redefinitions in ten-dimensional Type IIB supergravity and show that they do not give rise to any physical corrections to the holographic renormalization group structure in the AdS/CFT correspondence. We in particular show that the holographic Weyl anomaly of the N = 4 SU(N) super Yang-Mills theory does not change under the field redefinition of the ten-dimensional metric of ...

A survey of ideas, techniques and results from d=5 supergravity for the conformal and mass-perturbed phases of d=4 N=4 Super-Yang-Mills theory.

We extend the correspondence between adS-supergravities and superconformal field theories on the adS boundary to a correspondence between gauged supergravities (typically with non-compact gauge groups) and quantum field theories on domain walls.