Generalized geometry of two-dimensional vacua

Abstract

We derive the conditions for unbroken supersymmetry for a Mink_2, (2,0) vacuum, arising from Type II supergravity on a compact eight-dimensional manifold M_8. When specialized to internal manifolds enjoying SU(4)xSU(4) structure the resulting system is elegantly rewritten in terms of generalized complex geometry. This particular class of vacua violates the correspondence between supersymmetry conditions and calibrations conditions of D branes (supersymmetry-calibrations correspondence). Our analysis includes and extends previous results about the failure of the supersymmetry-calibrations correspondence, and confirms the existence of a precise relation between such a failure and a subset of the supersymmetry conditions.

31 pages, 1 figure. v2: minor corrections, references added

References in corpus (11)

• Classification of near-horizon geometries of extremal black holes
• All AdS_7 solutions of type II supergravity
• 6D microstate geometries from 10D structures
• Reformulating Supersymmetry with a Generalized Dolbeault Operator
• Global geometry of the supersymmetric AdS_3/CFT_2 correspondence in M-theory
• Domain walls from ten dimensions
• Generalized geometry, calibrations and supersymmetry in diverse dimensions
• AdS spacetimes from wrapped D3-branes
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• Pure spinor equations to lift gauged supergravity
• IIB horizons

Cited by in corpus (12)

• AdS_6 solutions of type II supergravity
• IIA supergravity and M-theory on manifolds with SU(4) structure
• Non-Kaehler SYZ mirror symmetry
• Timelike structures of ten-dimensional supersymmetry
• Higher-dimensional field theories from type II supergravity
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• On flux vacua, SU(n)-structures and generalised complex geometry
• Generalized geometry lectures on type II backgrounds
• Generalized complex geometry of pure backgrounds in ten and eleven dimensions
• Mirror symmetry & supersymmetry on SU(4)-structure backgrounds
• Higher dimensional generalizations of twistor spaces
• $T^4$ fibrations over Calabi-Yau two-folds and non-Kahler manifolds in string theory