Conical defects and N=2 higher spin holography

Abstract

We study conical geometry with the maximal number of fermionic symmetry in the higher spin supergravity described by sl(N+1|N) + sl(N+1|N) Chern-Simons gauge theory. It was proposed that a three dimensional N=2 higher spin supergravity is holographically dual to the N=(2,2) CP^N Kazama-Suzuki model. Based one the duality, we find a map between conical geometries and primary states in the dual CFT. In particular, we construct geometric solutions corresponding to primary states in the RR-sector. The proposal is checked by the comparison of a few charges and by the relation between null vectors and higher spin symmetry.

32 pages, minor changes, appendix B added, to appear in JHEP

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Cited by in corpus (19)

• Higher Spins & Strings
• CFT duals of three-dimensional de Sitter gravity
• Conformal blocks from Wilson lines with loop corrections
• On the coset duals of extended higher spin theories
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Rectangular W-algebras, extended higher spin gravity and dual coset CFTs
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Rectangular W-(super)algebras and their representations
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations
• Superconformal blocks from Wilson lines with loop corrections
• Modular Properties of 3D Higher Spin Theory
• 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
• Extremal Higher Spin Black Holes
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• ABJ Theory in the Higher Spin Limit