N=1 supersymmetric higher spin holography on AdS_3

Abstract

We propose a duality between a higher spin N=1 supergravity on AdS_3 and a large N limit of a family of N=(1,1) superconformal field theories. The gravity theory is an N=1 truncation of the N=2 supergravity found by Prokushkin and Vasiliev, and the dual conformal field theory is defined by a supersymmetric coset model. We check this conjecture by comparing one loop partition functions and find agreement. Moreover, we study the symmetry of the dual coset model and in particular compute fields of the coset algebra of dimension 3/2, 2, 2 and 5/2 explicitely.

31 pages, 1 figure

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Cited by in corpus (39)

• Large N=4 Holography
• W-algebras as coset vertex algebras
• Cosets of affine vertex algebras inside larger structures
• Extended higher spin holography and Grassmannian models
• Higher spin AdS_3 holography with extended supersymmetry
• W Symmetry and Integrability of Higher spin black holes
• Conformal blocks from Wilson lines with loop corrections
• N=1 extension of minimal model holography
• Three point functions in higher spin AdS_3 supergravity
• On the coset duals of extended higher spin theories
• Three-Point Functions in N=2 Higher-Spin Holography
• Conical defects and N=2 higher spin holography
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Higher Spin Currents in the N=1 Stringy Coset Minimal Model
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Rectangular W-(super)algebras and their representations
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• Dualities from higher-spin supergravity
• Superconformal blocks from Wilson lines with loop corrections
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Higher Spin Currents in the Holographic N=1 Coset Minimal Model
• Cosets of the ${\mathcal{W}}^k({\mathfrak{sl}}_4,f_{\text{subreg}})$-algebra
• On the partition functions of higher spin black holes
• Higher Spin Currents in Wolf Space for Generic N
• Rectangular W-algebras of types $so(M)$ and $sp(2M)$ and dual coset CFTs
• Extremal Higher Spin Black Holes
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Higgs phenomenon for higher spin fields on AdS_3
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• Aspects of Higher-Spin Theory with Fermions
• ABJ Theory in the Higher Spin Limit
• Unitary W-algebras and three-dimensional higher spin gravities with spin one symmetry
• Higher Spin Currents in the Orthogonal Coset Theory
• Conformal embeddings and higher-spin bulk duals
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• The Operator Product Expansions in the $\mathcal{N}=4$ Orthogonal Wolf Space Coset Model
• Toward a Higher-Spin Dual of Interacting Field Theories
• Higher Spin Currents with Manifest $SO(4)$ Symmetry in the Large $\mathcal{N}=4$ Holography