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)
