Rotating Higher Spin Partition Functions and Extended BMS Symmetries

Abstract

We evaluate one-loop partition functions of higher-spin fields in thermal flat space with angular potentials; this computation is performed in arbitrary space-time dimension, and the result is a simple combination of Poincaré characters. We then focus on dimension three, showing that suitable products of one-loop partition functions coincide with vacuum characters of higher-spin asymptotic symmetry algebras at null infinity. These are extensions of the bms_3 algebra that emerges in pure gravity, and we propose a way to build their unitary representations and to compute the associated characters. We also extend our investigations to supergravity and to a class of gauge theories involving higher-spin fermionic fields.

58 pages; clarifications and references added; version to be published in JHEP

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Cited by in corpus (24)

• BMS Particles in Three Dimensions
• Quantum Chiral Higher Spin Gravity
• Soft hairy horizons in three spacetime dimensions
• Mixed-symmetry fields in de Sitter space: a group theoretical glance
• BMS Modules in Three Dimensions
• Mapping relativistic to ultra/non-relativistic conformal symmetries in 2D and finite $\sqrt{T\bar{T}}$ deformations
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Tensionless Superstrings: View from the Worldsheet
• Fermionic continuous spin gauge field in (A)dS space
• Asymptotic structure of $\mathcal{N}=2$ supergravity in 3D: extended super-BMS${}_3$ and nonlinear energy bounds
• Geometric actions and flat space holography
• On quantum corrections in higher-spin theory in flat space
• Higher-Spin Flat Space Cosmologies with Soft Hair
• Local quantum energy conditions in non-Lorentz-invariant quantum field theories
• QQ-system and Weyl-type transfer matrices in integrable SO(2r) spin chains
• Scalar Fields in 3D Asymptotically Flat Higher-Spin Gravity
• Galilean contractions of $W$-algebras
• Linking Past and Future Null Infinity in Three Dimensions
• Asymptotic symmetries in spatially flat FRW
• Extended Supersymmetric BMS${}_3$ algebras and Their Free Field Realisations
• Carroll Hawking effect
• Hypergravity in five dimensions
• Second order differential equations for bosons with spin j > 1 and in the bases of general tensor-spinors of rank-2j
• Symmetries and Asymptotically Flat Space