Precision holography for Dp-branes
by
Seminar Room 2
DESY
I will discuss precision holography for the non-conformal SYM theories arising on the worldvolume of coincident Dp-branes. I will show how the free energy of the planar SYM theory on the round sphere and the expectation values of fundamental BPS Wilson loops can be computed explicitly by utilizing supersymmetric localization. I will then present a class of supergravity backgrounds that capture the backreaction of spherical Dp-branes and provide a holographic description of the SYM theory. I will show that the supergravity calculations of the free energy and the Wilson loop expectation value are in precise agreement with the supersymmetric localization results. Finally, I will exploit the scaling similarity property of the Dp-brane supergravity solutions to derive simple Witten diagram rules for the calculation of n-point correlation functions and will show how to explicitly compute 2pt- and 3pt-functions. This leads to explicit results of the 2pt- and 3pt-functions of scalar BPS operators in the planar strongly-coupled SYM theory, including the cases of the BFSS model and the 3d maximally supersymmetric YM theory, that could be tested using lattice QFT methods.