Simone Giombi

Higher Spin Gauge Theory and Holography: The Three-Point Functions

In this paper we calculate the tree level three-point functi ons of Vasiliev’s higher spin gauge theory in AdS4 and find agreement with the correlators of the free field theory of N massless scalars in three dimensions in the O(N) singlet sector. This provides substantial evidence that Vasiliev theory is dual to the fre e field theory, thus verifying a conjecture of Klebanov and Polyakov. We also find agreement with the critical O(N) vector model, when the bulk scalar field is subject to the alternative boundary condition such that its dual operator has classical dimension 2.

Spin Chains in N = 6 Superconformal Chern-Simons-Matter Theory

In this note we study spin chain operators in the N = 6 Chern-Simons-matter theory recently proposed by Aharony, Bergman, Jafferis and Maldacena to be dual to type IIA string theory in AdS4 × CP 3 . We study the two-loop dilatation operator in the gauge theory, and compare to the Penrose limit on the string theory side.

Higher spins in AdS and twistorial holography

In this paper we simplify and extend previous work on three-point functions in Vasiliev’s higher spin gauge theory in AdS4. We work in a gauge in which the space-time dependence of Vasiliev’s master fields is gauged away completely, leaving only the internal twistor-like variables. The correlation functions of boundary operators can be easily computed in this gauge. We find complete agreement of the tree level three point functions of higher spin currents in Vasiliev’s theory with the conjectured dual free O(N) vector theory.

The higher spin/vector model duality

This paper is mainly a review of the dualities between Vasiliev’s higher spin gauge theories in AdS4 and three dimensional large N vector models, with focus on the holographic calculation of correlation functions of higher spin currents. We also present some new results in the computation of parity odd structures in the three point functions in parity violating Vasiliev theories. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to ‘Higher spin theories and holography’.

Supersymmetric Wilson loops on S**3

This paper studies in great detail a family of supersymmetric Wilson loop operators in = 4 supersymmetric Yang-Mills theory we have recently found. For a generic curve on an S3 in space-time the loops preserve two supercharges but we will also study special cases which preserve 4, 8 and 16 supercharges. For certain loops we find the string theory dual explicitly and for the general case we show that string solutions satisfy a first order differential equation. This equation expresses the fact that the strings are pseudo-holomorphic with respect to a novel almost complex structure we construct on AdS4 ? S2. We then discuss loops restricted to S2 and provide evidence that they can be calculated in terms of similar observables in purely bosonic YM in two dimensions on the sphere.

On Higher Spin Gauge Theory and the Critical O(N) Model

We show that the differences between correlators of the critical O(N) vector model in three dimensions and those of the free theory are precisely accounted for by the change of boundary condition on the bulk scalar of the dual higher spin gauge theory in AdS4. Thus, the conjectured duality between Vasilievs theory and the critical O(N) model follows, order by order in 1/N, from the duality with free field theory on the boundary.

One loop tests of higher spin AdS/CFT

A bstractVasiliev’s type A higher spin theories in AdS4 have been conjectured to be dual to the U(N) or O(N) singlet sectors in 3-d conformal field theories with N-component scalar fields. We compare the

A note on CFT correlators in three dimensions

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Operator Product Expansion of Higher Rank Wilson Loops from D-branes and Matrix Models

(N0) correction to the 3-sphere free energy F in the CFTs with corresponding calculations in the higher spin theories. This requires evaluating a regularized sum over one loop vacuum energies of an infinite set of massless higher spin gauge fields in Euclidean AdS4. For the Vasiliev theory including fields of all integer spin and a scalar with Δ = 1 boundary condition, we show that the regularized sum vanishes. This is in perfect agreement with the vanishing of subleading corrections to F in the U(N) singlet sector of the theory of N free complex scalar fields. For the minimal Vasiliev theory including fields of only even spin, the regularized sum remarkably equals the value of F for one free real scalar field. This result may agree with the O(N) singlet sector of the theory of N real scalar fields, provided the coupling constant in the Vasiliev theory is identified as GN ~ 1/(N − 1). Similarly, consideration of the USp(N) singlet sector for N complex scalar fields, which we conjecture to be dual to the husp(2; 0|4) Vasiliev theory, requires GN ~ 1/(N + 1). We also test the higher spin AdS3/CFT2 conjectures by calculating the regularized sum over one loop vacuum energies of higher spin fields in AdS3. We match the esult with the

The thermal free energy in large N Chern-Simons-matter theories

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