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Minimal Model Holography

Matthias R. Gaberdiel, Rajesh Gopakumar

Abstract

We review the duality relating 2d W_N minimal model CFTs, in a large N 't Hooft like limit, to higher spin gravitational theories on AdS_3.

Minimal Model Holography

Abstract

We review the duality relating 2d W_N minimal model CFTs, in a large N 't Hooft like limit, to higher spin gravitational theories on AdS_3.

Paper Structure

This paper contains 46 sections, 194 equations, 1 figure.

Table of Contents

  1. Introduction
  2. The Ingredients
  3. The Higher Spin Theory
  4. Review of Pure Gravity
  5. Spin 3 and Higher
  6. The Underlying Algebra of the Higher Spin Theory
  7. Coupling to Scalar Fields
  8. The ${\cal W}_N$ Minimal Model CFTs
  9. The Coset Construction
  10. Higher spin Currents
  11. Minimal Model Primaries
  12. The Spectrum of Primaries
  13. Partition Functions
  14. Fusion Rules and Characters
  15. ${\cal W}_\infty$-Symmetries in the Boundary and the Bulk
  16. ...and 31 more sections

Figures (1)

  • Figure 1: A Young diagram of SU$(N)$ in the large $N$ limit. The full representation $\Lambda = (\overline{R}, S)$ has a finite number of 'boxes' $S$ and 'antiboxes' $R$.