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.
Author
Prof.
Dimitri Polyakov
(CQUEST, Sogang University)
