Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
Generalized Kahler geometry
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
Generalized Kahler geometry is the natural analogue of Kahler geometry, in the context of generalized complex geometry. Just as we may require a complex structure to be compatible with a Riemannian metric in a way which gives rise to a symplectic form, we may require a generalized complex structure to be compatible with a metric so that it defines a second generalized complex structure. We explore the fundamental aspects of this geometry, including its equivalence with the bi-Hermitian geometry on the target of a 2-dimensional sigma model with (2,2) supersymmetry, as well as the relation to holomorphic Dirac geometry and the resulting derived deformation theory. We also explore the analogy between pre-quantum line bundles and gerbes in the context of generalized Kahler geometry.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 3years
2026 3verdicts
UNVERDICTED 3roles
background 1polarities
background 1representative citing papers
Gauge-dressed complex geometry yields heterotic Buscher-like T-duality rules and an extended Born geometry satisfying hypercomplex algebras.
The Large Vector Multiplet underlies a new gauge multiplet in (2,2) supersymmetry, and gauging with it produces a beta-gamma system coupled to a sigma model.
citing papers explorer
-
Generalised Complex and Spinor Relations
Courant algebroid relations define spinor and Dirac structure relations, with T-duality inducing spinor relations that generalize twisted cohomology isomorphisms and are compatible with Type II supergravity equations.
-
Gauge-Dressed Complex Geometry and T-duality in Heterotic String Theories
Gauge-dressed complex geometry yields heterotic Buscher-like T-duality rules and an extended Born geometry satisfying hypercomplex algebras.
-
The Large Vector Multiplet and Gauging $(2,2)$ $\sigma$-models
The Large Vector Multiplet underlies a new gauge multiplet in (2,2) supersymmetry, and gauging with it produces a beta-gamma system coupled to a sigma model.