Gauge × gauge = gravity on homogeneous spaces using tensor convolutions

L. Borsten, I. Jubb*, V. Makwana, S. Nagy

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)
41 Downloads (Pure)


A definition of a convolution of tensor fields on group manifolds is given, which is then generalised to generic homogeneous spaces. This is applied to the product of gauge fields in the context of ‘gravity = gauge × gauge’. In particular, it is shown that the linear Becchi-Rouet-Stora-Tyutin (BRST) gauge transformations of two Yang-Mills gauge fields generate the linear BRST diffeomorphism transformations of the graviton. This facilitates the definition of the ‘gauge × gauge’ convolution product on, for example, the static Einstein universe, and more generally for ultrastatic spacetimes with compact spatial slices.

Original languageEnglish
Article number117
JournalJournal of High Energy Physics
Issue number6
Publication statusPublished - 18 Jun 2021


  • BRST Quantization
  • Gauge Symmetry
  • Gauge-gravity correspondence
  • Space-Time Symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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