AKSZ Constructions for Topological Membranes on &ITG&IT2-Manifolds

作者：Kokenyesi Zoltan; Sinkovics Annamaria; Szabo Richard J^*

来源：Progress of Physics, 2018, 66(3): 1800018.

DOI：10.1002/prop.201800018

• M-theory
• membrane theory

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 G(2)-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.

• 出版日期2018-3