Extended higher spin holography and Grassmannian models

Abstract

We propose holographic dualities between higher spin gravity theories extended with Chan-Paton factor on AdS_3 and a large N limit of two dimensional Grassmannian models with and without supersymmetry. These proposals are natural extensions of the duality without Chan-Paton factor, and the extensions are motivated by a higher dimensional version of the duality, which implies a possible relation to superstring theory via ABJ theory. As evidence for the proposals, we show that the free limit of the Grassmannian models have the higher spin symmetry expected from the dual gravity theory. Furthermore, we construct currents in the 't Hooft limit of the supersymmetric Grassmannian model and compare them with the currents from the bulk theory. One-loop partition function of the supergravity theory is reproduced by the 't Hooft limit of the Grassmannian model after decoupling a gauge sector.

55 pages, minor changes, published version

References in corpus (8)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Symmetries of Holographic Minimal Models
• Large N=4 Holography
• Quantum W-symmetry in AdS_3
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model

Cited by in corpus (42)

• Higher Spins & Strings
• Higher spin AdS_3 holography with extended supersymmetry
• CFT duals of three-dimensional de Sitter gravity
• The symmetry of large N=4 holography
• Conformal blocks from Wilson lines with loop corrections
• On the coset duals of extended higher spin theories
• Extended supersymmetry in AdS_3 higher spin theories
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Higher spins in the symmetric orbifold of K3
• Correlation functions of symmetric orbifold from AdS${}_3$ string theory
• Higher spin algebras and large $\mathcal{N}=4$ holography
• 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 Holographic N=1 Coset Minimal Model
• Correspondences among CFTs with different W-algebra symmetry
• Higher Spin Currents in Wolf Space for Generic N
• Higher Spin Currents in Orthogonal Wolf Space
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• Higher-spin gauge theories in three spacetime dimensions
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• ABJ Theory in the Higher Spin Limit
• Quiver Yangians and $\mathcal{W}$-Algebras for Generalized Conifolds
• Marginal deformations of 3d supersymmetric U(N) model and broken higher spin symmetry
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Conformal embeddings and higher-spin bulk duals
• Symmetry Algebras of Stringy Cosets
• Higher rank FZZ-dualities
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Adding Complex Fermions to the Grassmannian-like Coset Model
• The Grassmannian-like Coset Model and the Higher Spin Currents
• Chiral Ring of Strange Metals: The Multicolor Limit
• The Grassmannian VOA
• Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras