# EPS HEP 2013 Stockholm

17-24 July 2013
KTH and Stockholm University Campus
Europe/Stockholm timezone

## Higher Spin Contributions to Holographic Hydrodynamics

20 Jul 2013, 11:00
23m
F3 (KTH Campus)

### F3

#### KTH Campus

Talk presentation Non-perturbative QFT and String Theory

### Speaker

Prof. Dimitri Polyakov (CQUEST, Sogang University)

### Description

We calculate the graviton's $\beta$-function in $AdS$ string-theoretic sigma-mod el, perturbed by vertex operators for Vasiliev's higher spin gauge fields in $AdS_5$. The result is given by $\beta_{mn}=R_{mn}-8T_{mn}(g,u)$ (with AdS radius set to 1 and the graviton polarized along the $AdS_5$ boundary), with the matter stress-energy tensor $T_{mn}$ given by that of conformal holographic fluid in $d=4$, evaluated at the gauge with the temperature given by $T={1\over{\pi}}$. The We show that the gradient expansion in hydrodynamics and the appropriate new transport coefficients are controlled by the higher spin operator algebra.

### Primary author

Prof. Dimitri Polyakov (CQUEST, Sogang University)

 Slides