On BF-type higher-spin actions in two dimensions
Konstantin Alkalaev, Xavier Bekaert
Abstract
A bstract We propose a non-abelian higher-spin theory in two dimensions for an infinite multiplet of massive scalar fields and infinitely many topological higher-spin gauge fields together with their dilaton-like partners. The spectrum includes local degrees of freedom although the field equations take the form of flatness and covariant constancy conditions because fields take values in a suitable extension of the infinite-dimensional higher-spin algebra 𝔥𝔰[ λ ]. The corresponding action functional is of BF-type and generalizes the known topological higher-spin Jackiw-Teitelboim gravity.
Topics & Concepts
PhysicsCovariant transformationMultipletFlatness (cosmology)Scalar (mathematics)Gauge theoryAction (physics)Topological quantum field theorySpectrum (functional analysis)Gauge (firearms)Introduction to gauge theoryGauge covariant derivativeTheoretical physicsScalar fieldTopology (electrical circuits)Gauge fixingDegrees of freedom (physics and chemistry)Field (mathematics)Supersymmetric gauge theoryMathematical physicsExtension (predicate logic)Quantum field theoryEffective actionTopological quantum numberBRST quantizationEquivariant mapYang–Mills theoryQuantum mechanicsScalar potentialBlack Holes and Theoretical PhysicsNoncommutative and Quantum Gravity TheoriesCosmology and Gravitation Theories