Calibrations on spaces with GxG-structure

Abstract

In these notes we give an introduction to the concept of spaces with GxG-structure and their structured submanifolds. These objects generalise the classical notion of a calibrated submanifold. Therefore, they are interesting from a string theory viewpoint as they are relevant to describe D-branes in string compactifications on backgrounds with fluxes.

4 pages; contribution to the proceedings of the RTN workshop "Constituents, Fundamental Forces and Symmetries of the Universe", Naples, Italy, 9-13 Oct 2006

References in corpus (12)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Hitchin Functionals in N=2 Supergravity
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• D-branes on general N=1 backgrounds: superpotentials and D-terms
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Generalised $G_2$-structures and type IIB superstrings
• Deformations of calibrated D-branes in flux generalized complex manifolds
• Generalised $G_2$-manifolds
• M-theory on eight-manifolds revisited: N=1 supersymmetry and generalized Spin(7) structures
• Calibrated cycles and T-duality
• Generalised geometries, constrained critical points and Ramond-Ramond fields

Cited by in corpus (4)

• T-duality and closed string non-commutative (doubled) geometry
• Seeing through the String Landscape - a String Hunter's Companion in Particle Physics and Cosmology
• On special geometry of the moduli space of string vacua with fluxes
• Calabi-Yau manifolds with $B$-fields