N=1 extension of minimal model holography

Abstract

The CFT dual of the higher spin theory with minimal N = 1 spectrum is determined. Unlike previous examples of minimal model holography, there is no free parameter beyond the central charge, and the CFT can be described in terms of a non-diagonal modular invariant of the bosonic theory at the special value of the 't Hooft parameter lambda=1/2. As evidence in favour of the duality we show that the symmetry algebras as well as the partition functions agree between the two descriptions.

28 pages

References in corpus (7)

• 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
• Higher Spins in AdS and Twistorial Holography
• Quantum W-symmetry in AdS_3
• Even spin minimal model holography
• The $\mathcal{N}=1$ algebra ${\mathcal{W}}_{\infty }[\mu ]$ and its truncations

Cited by in corpus (26)

• Higher Spins & Strings
• Large N=4 Holography
• Higher spin AdS_3 holography with extended supersymmetry
• W Symmetry and Integrability of Higher spin black holes
• Three-dimensional Spin-3 Theories Based on General Kinematical Algebras
• 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
• Higher Spin Currents with Arbitrary N in the N=1 Stringy Coset Minimal Model
• Superconformal blocks from Wilson lines with loop corrections
• Higher Spin Currents in the N=2 Stringy Coset Minimal Model
• Galilean contractions of $W$-algebras
• Yangian associated with 2D $\mathcal{N}=1$ SCFT
• The large $\mathcal{N}=4$ superconformal ${\mathcal{W}}_{\infty }$ algebra
• On the partition functions of higher spin black holes
• Higher Spin Currents in Orthogonal Wolf Space
• Higher-spin gauge theories in three spacetime dimensions
• Correspondences between WZNW models and CFTs with W-algebra symmetry
• Higgs phenomenon for higher spin fields on AdS_3
• Marginal deformations and the Higgs phenomenon in higher spin AdS_3 holography
• ABJ Theory in the Higher Spin Limit
• Higher Spin Currents in the Orthogonal Coset Theory
• Conformal embeddings and higher-spin bulk duals
• Chern-Simons Holography: Boundary Conditions, Contractions and Double Extensions for a Journey Beyond Anti-de Sitter
• Supersymmetric Localization in AdS${}_5$ and the Protected Chiral Algebra
• The matrix-extended $W_{1+\infty }$ algebra