AKSZ Constructions for Topological Membranes on G2-Manifolds

Zoltán Kökényesi, Annamaria Sinkovics, Richard Joseph Szabo*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)
50 Downloads (Pure)


We consider AKSZ constructions of BV actions for closed topological membranes, and their dimensional reductions to topological string sigma-models. Two inequivalent AKSZ constructions for topological membranes on G2-manifolds are proposed, in each of which the two existing topological membrane theories appear as different gauge fixed versions. Their dimensional reductions give new AKSZ constructions for the topological A-model, which on further dimensional reduction gives an AKSZ formulation of supersymmetric quantum mechanics. We show that the two AKSZ membrane models originate through worldvolume dimensional reduction of a single AKSZ threebrane theory, which gives the standard 2-Courant bracket as the underlying derived bracket. Double dimensional reduction of the twisted topological threebrane theory on a circle yields the standard Courant sigma-model for string theory with NS-NS flux.

Original languageEnglish
Article number1800018
JournalFortschritte der Physik
Issue number3
Early online date12 Mar 2018
Publication statusPublished - 29 Mar 2018


  • M-theory
  • Membrane theory

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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