AKSZ Constructions for Topological Membranes on $G_2$‐Manifolds

Kokenyesi, Zoltan; Sinkovics, Annamaria; Szabo, Richard J.

doi:10.1002/prop.201800018

AKSZ Constructions for Topological Membranes on $G_2$ ‐Manifolds

Zoltan Kokenyesi
(
- Eotvos U. and
- Wigner RCP, Budapest
)
,
Annamaria Sinkovics
(
- Eotvos U.
)
,
Richard J. Szabo
(
- Heriot-Watt U. and
- U. Edinburgh, Higgs Ctr. Theor. Phys.
)

Feb 13, 2018

36 pages

Published in:

Fortsch.Phys. 66 (2018) 3, 1800018

Published: Mar 1, 2018

e-Print:

1802.04581 [hep-th]

DOI:

10.1002/prop.201800018

Report number:

EMPG-18-03

View in:

pdf

reference search11 citations

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Abstract: (WILEY)

We consider AKSZ constructions of BV actions for closed topological membranes, andtheir dimensional reductions to topological string sigma‐models. Two inequivalentAKSZ constructions for topological membranes on G2‐manifolds are proposed, in each of which the two existing topological membrane theoriesappear as different gauge fixed versions. Their dimensional reductions give new AKSZconstructions for the topological A‐model, which on further dimensional reductiongives an AKSZ formulation of supersymmetric quantum mechanics. We show that the twoAKSZ membrane models originate through worldvolume dimensional reduction of a singleAKSZ threebrane theory, which gives the standard 2‐Courant bracket as the underlyingderived bracket. Double dimensional reduction of the twisted topological threebranetheory on a circle yields the standard Courant sigma‐model for string theory withNS–NS flux.

Note:

36 pages; Final version to be published in Fortschritte der Physik

M‐theory
membrane theory
string: topological
twist: topological
quantum mechanics: supersymmetry
dimensional reduction
sigma model: topological
membrane model
string model
flux

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