Finiteness of 3D higher spin gravity Landscape

Abstract

We give Swampland constraints on the three dimensional Landscape of Anti-de Sitter higher spin gravity in the Chern-Simons formulation with connection valued in various split real forms of Lie algebras. We derive the finiteness conjecture by computing the upper bound on the rank of possible gauge groups then we refine it using the AdS distance conjecture. We discuss the implications of this Swampland constraint on the spectrum of higher spin gravity theories and we compare it with the gravitational exclusion principle required from BTZ black hole consideration to excerpt a constraint on the Chern-Simons level k.

References in corpus (46)

• The Large N Limit of Superconformal Field Theories and Supergravity
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• The Swampland: Introduction and Review
• Quantum Gravity Partition Functions in Three Dimensions
• 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
• An AdS_3 Dual for Minimal Model CFTs
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Lectures on the Swampland Program in String Compactifications
• AdS and the Swampland
• Minimal Model Holography
• Symmetries of Holographic Minimal Models
• Holographic Gravitational Anomalies
• Higher Spin Black Holes
• Two-dimensional SCFTs from wrapped branes and c-extremization
• What We Don't Know about BTZ Black Hole Entropy
• The Weak Gravity Conjecture in three dimensions
• New Boundary Conditions for AdS3
• Spacelike Singularities and Hidden Symmetries of Gravity
• Most general AdS_3 boundary conditions
• Quantum W-symmetry in AdS_3
• Enhanced asymptotic symmetry algebra of AdS3
• Super-W(infinity) Asymptotic Symmetry of Higher-Spin AdS(3) Supergravity
• Branes and the Swampland
• Chiral anomalies and AdS/CMT in two dimensions
• Higher spin black hole entropy in three dimensions
• An sl(2, R) current algebra from AdS_3 gravity
• Four Dimensional $\mathcal{N}=4$ SYM and the Swampland
• Swampland Constraints on 5d $\mathcal{N}=1$ Supergravity
• Higher Spin Theories in AdS_3 and a Gravitational Exclusion Principle
• Generalized Chern-Simons higher-spin gravity theories in three dimensions
• Exploring Three-dimensional Higher-Spin Supergravity based on sl(N |N - 1) Chern-Simons theories
• Constraints on Higher Spin CFT${}_2$
• The Gravitational Exclusion Principle and Null States in Anti-de Sitter Space
• New boundary conditions for (extended) ${\mathrm{AdS}}_3$ supergravity
• Generalized MacMahon G(q) as q-deformed CFT Correlation Function
• 't Hooft lines of ADE-type and Topological Quivers
• On the Spectrum of Pure Higher Spin Gravity
• Higher spin AdS${}_3$ gravity and Tits-Satake diagrams
• Exploring new Boundary Conditions for $\mathcal{N}=(1,1)$ Extended Higher Spin $Ad{S}_3$ Supergravity
• Refining the Shifted Topological Vertex
• $\mathcal{N}=(2,2)$ extended $\mathfrak{sl}(3|2)$ Chern-Simons $Ad{S}_3$ supergravity with new boundaries
• Non Trivial Extension of the (1+2)-Poincaré Algebra and Conformal Invariance on the Boundary of $Ad{S}_3$
• Embedding Integrable Superspin Chain in String Theory
• Topological String on Toric CY3s in Large Complex Structure Limit

Cited by in corpus (8)

• Fluctuating Ensemble Averages and the BTZ Threshold
• Black hole solutions of three dimensional E${}_6$-gravity
• Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the string-theoretical Swampland Programme
• Higher spin swampland conjecture for massive AdS${}_3$ gravity
• Complex D($2,1;\zeta$) and spin chain solutions from Chern-Simons theory
• Landscape of Narain CFTs
• Code CFTs and Topological Matter
• Algebraic Realisation of the Zamolodchikov Metric in Narain Theories