Junggi Yoon

Bi-local holography in the SYK model

A bstractWe discuss large N rules of the Sachdev-Ye-Kitaev model and the bi-local representation of holography of this theory. This is done by establishing 1/N Feynman rules in terms of bi-local propagators and vertices, which can be evaluated following the recent procedure of Polchinski and Rosenhaus. These rules can be interpreted as Witten type diagrams of the dual AdS theory, which we are able to define at IR fixed point and off.

Canonical formulation of O(N) vector/higher spin correspondence

We discuss the canonical structure of the collective formulation of vector model/higher spin duality in AdS4. This involves a construction of bulk AdS higher spin fields through a time-like bi-local map, with a Hamiltonian and canonical structure which are established to all orders in .

1/N and loop corrections in higher spin AdS

We consider the question of loop corrections (i.e.

_4

1/N

/CFT

) in the vector model/higher spin duality following the recent work of Giombi and Klebanov [J. High Energy Phys. 12, 068 (2013)]. The purpose of this paper is to gain further a more precise comparison between the two sides of the duality. For CFTs given by 3d

_3

O(N)

duality

or

Holography as a gauge phenomenon in Higher Spin duality

U(N)

Field theory of primaries in WN minimal models

vector models we evaluate the leading and one-loop partition functions in a variety of geometries. Our calculations are performed in the scheme of collective field theory which was seen in earlier studies to represent a bulk description of Vasiliev higher spin theory. The calculations presented provide data for the comparison of small fluctuation determinants giving further evidence for the one-to-one bulk identification between the bilocal and the AdS pictures. They also offer insight into the identification of coupling constants

Bulk from bi-locals in Thermo field CFT

G