Higher spin AdS_3 holography with extended supersymmetry

Abstract

We propose a holographic duality between a higher spin AdS_3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specific critical level k=N and a non-diagonal modular invariant. As evidence, we show the match of one-loop partition functions. Moreover, we construct symmetry generators of the coset model for low spins which are dual to gauge fields in the supergravity. Further, we discuss a possible relation to superstring theory by noticing an N=3 supersymmetry of critical level model at finite k,N. In particular, we examine BPS states and marginal deformations. Inspired by the supergravity side, we also propose and test another large N CFT dual obtained as a Z_2 automorphism truncation of a similar coset model, but at a non-critical level.

arXiv comment44 pages, published version

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• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Extended supersymmetry in AdS_3 higher spin theories
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• Higher spins in the symmetric orbifold of K3
• Supersymmetric index on T^2 x S^2 and elliptic genus
• Rectangular W-(super)algebras and their representations
• The Continuous Orbifold of N=2 Minimal Model Holography
• Superconformal blocks from Wilson lines with loop corrections
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• The Operator Product Expansion between the 16 Lowest Higher Spin Currents in the N=4 Superspace
• ABJ Quadrality
• Higher Spin Currents in Wolf Space: Part II
• Correspondences among CFTs with different W-algebra symmetry
• Higher Spin Currents in Orthogonal Wolf Space
• Higher Spin Currents in Wolf Space for Generic N
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• Anomalous dimensions of higher spin currents in large N CFTs
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• The symmetric orbifold of N=2 minimal models
• The Next $16$ Higher Spin Currents and Three-Point Functions in the Large $\mathcal{N}=4$ Holography
• Higgs phenomenon for higher spin fields on AdS_3
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• Identification of Bulk coupling constant in Higher Spin/ABJ correspondence
• Higher Spin Currents in the Orthogonal Coset Theory
• Conformal embeddings and higher-spin bulk duals
• $\mathcal{N}=(3,3)$ holography on ${\mathrm{AdS}}_3\times ({\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1)/{\mathbb{Z}}_2$
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Higher rank FZZ-dualities
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Adding Complex Fermions to the Grassmannian-like Coset Model
• The Grassmannian-like Coset Model and the Higher Spin Currents
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Supersymmetric Localization in AdS${}_5$ and the Protected Chiral Algebra
• Higher spin holography with Galilean symmetry in general dimensions
• Fermionic Construction in the Supersymmetric Coset Model
• Ising Model on Twisted Lattice and Holographic RG flow
• Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras