Higher spin AdS_3 supergravity and its dual CFT

Abstract

Vasiliev's higher spin supergravity theory on three dimensional anti-de Sitter space is studied and, in particular, the partition function is computed at one loop level. The dual conformal field theory is proposed to be the N=(2,2) CP^N Kazama-Suzuki model in two dimensions. The proposal is based on symmetry considerations and comparison of the bulk partition function with the conformal field theory. Our findings suggest that the theory is strong-weak self-dual.

36 pages

References in corpus (9)

• 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
• Asymptotic W-symmetries in three-dimensional higher-spin gauge theories
• Quantum W-symmetry in AdS_3
• The Gravity Dual of the Ising Model
• Correlation Functions in Holographic Minimal Models
• The Coset Spin-4 Casimir Operator and Its Three-Point Functions with Scalars
• Toward Higher Spin dS3/CFT2

Cited by in corpus (93)

• Minimal Model Holography
• Black holes in three dimensional higher spin gravity: A review
• Triality in Minimal Model Holography
• BMS Particles in Three Dimensions
• Large N=4 Holography
• Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
• W-algebras as coset vertex algebras
• Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d
• Duality in N=2 minimal model holography
• Cosets of affine vertex algebras inside larger structures
• Extended higher spin holography and Grassmannian models
• Higher spin AdS_3 holography with extended supersymmetry
• CFT duals of three-dimensional de Sitter gravity
• N=1 supersymmetric higher spin holography on AdS_3
• Fermionic continuous spin gauge field in (A)dS space
• Supersymmetric holography on AdS3
• W Symmetry and Integrability of Higher spin black holes
• Probing higher spin black holes from CFT
• Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories
• Conformal blocks from Wilson lines with loop corrections
• N=1 extension of minimal model holography
• Three point functions in higher spin AdS_3 supergravity
• Non-AdS holography in 3-dimensional higher spin gravity - General recipe and example
• The Large N 't Hooft Limit of Kazama-Suzuki Model
• Rotating Higher Spin Partition Functions and Extended BMS Symmetries
• Symmetries of Holographic Super-Minimal Models
• On the coset duals of extended higher spin theories
• Three-Point Functions in N=2 Higher-Spin Holography
• A note on conical solutions in 3D Vasiliev theory
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Stringy $\mathcal{N}=(2,2)$ holography for AdS${}_3$
• Conical defects and N=2 higher spin holography
• The Primary Spin-4 Casimir Operators in the Holographic SO(N) Coset Minimal Models
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• 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 $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Dualities from higher-spin supergravity
• The Continuous Orbifold of N=2 Minimal Model Holography
• Cosets of Bershadsky-Polyakov algebras and rational $\mathcal{W}$-algebras of type $A$
• The Operator Product Expansion of the Lowest Higher Spin Current at Finite N
• Supersymmetry of classical solutions in Chern-Simons higher spin supergravity
• Superconformal blocks from Wilson lines with loop corrections
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• The geometry of the limit of N=2 minimal models
• Cosets of the ${\mathcal{W}}^k({\mathfrak{sl}}_4,f_{\text{subreg}})$-algebra
• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
• Higher spin fermions in the BTZ black hole
• On the partition functions of higher spin black holes
• Black holes in higher spin supergravity
• Correspondences among CFTs with different W-algebra symmetry
• Higher Spin Currents in Orthogonal Wolf Space
• Higher Spin Currents in Wolf Space for Generic N
• On the Spectrum of Pure Higher Spin Gravity
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Extremal Higher Spin Black Holes
• Chiral Primaries in Strange Metals
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• Higher-spin gauge theories in three spacetime dimensions
• The limit of N=(2,2) superconformal minimal models
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Higher-spin charges in Hamiltonian form. II. Fermi fields
• The symmetric orbifold of N=2 minimal models
• The $\mathcal{N}=4$ Coset Model and the Higher Spin Algebra
• The $\mathcal{N}=4$ Higher Spin Algebra for Generic $\mu$ Parameter
• Higgs phenomenon for higher spin fields on AdS_3
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• The masses of higher spin fields on AdS_4 and conformal perturbation theory
• ABJ Theory in the Higher Spin Limit
• Aspects of Higher-Spin Theory with Fermions
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Limit theories and continuous orbifolds
• Late-time correlation functions in dS${}_3$/CFT${}_2$ correspondence
• Higher rank FZZ-dualities
• Reduced matrix elements of the orthosymplectic Lie superalgebra
• Toward a Higher-Spin Dual of Interacting Field Theories
• A note on the $\mathcal{N}=2$ super-${\mathcal{W}}_3$ holographic dictionary
• Adding Complex Fermions to the Grassmannian-like Coset Model
• Super Virasoro Algebras From Chiral Supergravity
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography
• Higher Spin Gravity and Exact Holography
• Chiral Ring of Strange Metals: The Multicolor Limit
• The $\mathfrak{so}$-Kazama-Suzuki Models at Large Level
• The large level limit of Kazama-Suzuki models
• FZZ-triality and large $\mathcal{N}=4$ super Liouville theory
• On scalar propagators of three-dimensional higher-spin black holes
• Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras
• Ising Model on Twisted Lattice and Holographic RG flow