Higher spin AdS_3 holography with extended supersymmetry

Abstract

We propose a holographic duality between a higher spin AdS_3 gravity with so(p) extended supersymmetry and a large N limit of a 2-dimensional Grassmannian-like model with a specific critical level k=N and a non-diagonal modular invariant. As evidence, we show the match of one-loop partition functions. Moreover, we construct symmetry generators of the coset model for low spins which are dual to gauge fields in the supergravity. Further, we discuss a possible relation to superstring theory by noticing an N=3 supersymmetry of critical level model at finite k,N. In particular, we examine BPS states and marginal deformations. Inspired by the supergravity side, we also propose and test another large N CFT dual obtained as a Z_2 automorphism truncation of a similar coset model, but at a non-critical level.

44 pages, published version

References in corpus (6)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Fractional M2-branes
• Quantum W-symmetry in AdS_3
• The symmetry of large N=4 holography
• Strange Metals in One Spatial Dimension
• Chiral Primaries in Strange Metals

Cited by in corpus (17)

• Higher Spins & Strings
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Correlators in higher spin AdS_3 holography from Wilson lines with loop corrections
• Extended supersymmetry in AdS_3 higher spin theories
• Supersymmetric index on T^2 x S^2 and elliptic genus
• The Continuous Orbifold of N=2 Minimal Model Holography
• ABJ Quadrality
• Higher Spin Currents in Wolf Space: Part II
• Higher Spin Currents in Orthogonal Wolf Space
• Higher Spin Currents in Wolf Space for Generic N
• Anomalous dimensions of higher spin currents in large N CFTs
• Higher Spin Currents in the Enhanced N=3 Kazama-Suzuki Model
• Three point functions in higher spin AdS_3 holography with 1/N corrections
• A Supersymmetric Enhancement of $\mathcal{N}=1$ Holographic Minimal Model
• Higher rank FZZ-dualities
• Supersymmetric Localization in AdS${}_5$ and the Protected Chiral Algebra
• Correlator correspondences for subregular $\mathcal{W}$-algebras and principal $\mathcal{W}$-superalgebras