Gauge × gauge on spheres

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

Research output: Contribution to journalArticlepeer-review

18 Citations (Scopus)


We introduce a convolution on a 2-sphere and use it to show that the linearised Becchi-Rouet-Stora-Tyutin transformations and gauge fixing conditions of Einstein-Hilbert gravity coupled to a two-form and a scalar field, follow from the product of two Yang-Mills theories. This provides an example of the convolutive product of gauge theories on a non-trivial background. By introducing a time direction the product is shown to extend to the D = 1 + 2 Einstein-static universe.

Original languageEnglish
Article number96
JournalJournal of High Energy Physics (JHEP)
Issue number6
Publication statusPublished - 1 Jun 2020


  • BRST Quantization
  • Gauge Symmetry
  • Space-Time Symmetries


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