Coupled SU(3)-structures and Supersymmetry

Abstract

We review coupled $\mathrm{SU}(3)$-structures, also known in the literature as restricted half-flat structures, in relation to supersymmetry. In particular, we study special classes of examples admitting such structures and the behaviour of flows of $\mathrm{SU}(3)$-structures with respect to the coupled condition.

24 pages, to appear in the special issue "Supersymmetry 2014" of Symmetry Journal

References in corpus (4)

• The effective theory of type IIA AdS4 compactifications on nilmanifolds and cosets
• Type IIA AdS4 compactifications on cosets, interpolations and domain walls
• New string vacua from twistor spaces
• Half-flat structures inducing Einstein metrics on homogeneous spaces

Cited by in corpus (6)

• New supersymmetric vacua on solvmanifolds
• Einstein warped G2 and Spin(7) manifolds
• $S^1$-quotient of $Spin(7)$-structures
• Closed $\text{SL}(3,\mathbb{C})$-structures on nilmanifolds
• Special types of locally conformal closed G${}_2$-structures
• On $G_2$-structures, special metrics and related flows