Global symmetries of Yang-Mills squared in various dimensions

A. Anastasiou, L. Borsten, M. J. Hughes, S. Nagy

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


Abstract: Tensoring two on-shell super Yang-Mills multiplets in dimensions D ≤ 10 yields an on-shell supergravity multiplet, possibly with additional matter multiplets. Associating a (direct sum of) division algebra(s) D$$ \mathbb{D} $$ with each dimension 3 ≤ D ≤ 10 we obtain a formula for the supergravity U-duality G and its maximal compact subgroup H in terms of the internal global symmetry algebras of each super Yang-Mills theory. We extend our analysis to include supergravities coupled to an arbitrary number of matter multiplets by allowing for non-supersymmetric multiplets in the tensor product.

Original languageEnglish
Article number148
Pages (from-to)1-31
Number of pages31
JournalJournal of High Energy Physics (JHEP)
Issue number1
Publication statusPublished - 1 Jan 2016


  • Extended Supersymmetry
  • Global Symmetries
  • Supergravity Models
  • Supersymmetry and Duality


Dive into the research topics of 'Global symmetries of Yang-Mills squared in various dimensions'. Together they form a unique fingerprint.

Cite this