Rotating higher spin partition functions and extended BMS symmetries

A. Campoleoni, H. A. Gonzalez, B. Oblak, M. Riegler

Research output: Contribution to journalArticlepeer-review

33 Scopus citations


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 bms3 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.

Original languageEnglish
Article number34
JournalJournal of High Energy Physics
Issue number4
StatePublished - 1 Apr 2016
Externally publishedYes


  • Field Theories in Higher Dimensions
  • Field Theories in Lower Dimensions
  • Higher Spin Gravity
  • Higher Spin Symmetry


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