Local supertwistors and conformal supergravity in six dimensions

Abstract

The local supertwistor formalism, which involves a superconformal connection acting on the bundle of such objects over superspace, is used to investigate superconformal geometry in six dimensions. The geometry corresponding to (1, 0) and (2, 0) off-shell conformal supergravity multiplets, as well the associated finite super-Weyl transformations, are derived.

arXiv comment20 pages

References in corpus (20)

• New supergravities with central charges and Killing spinors in 2+1 dimensions
• N=1 Conformal Superspace in Four Dimensions
• Off-shell supergravity-matter couplings in three dimensions
• On conformal supergravity and projective superspace
• Conformal supergravity in three dimensions: New off-shell formulation
• Conformal supergravity in five dimensions: New approach and applications
• N=2 Conformal Superspace in Four Dimensions
• Conformal supergravity in three dimensions: Off-shell actions
• Tractors, Mass and Weyl Invariance
• (2,0) Tensor Multiplets and Conformal Supergravity in D=6
• Invariants for minimal conformal supergravity in six dimensions
• Six-dimensional Supergravity and Projective Superfields
• The component structure of conformal supergravity invariants in six dimensions
• Curvature squared invariants in six-dimensional $\mathcal{N}=(1,0)$ supergravity
• Topologically gauged superconformal Chern-Simons matter theories
• Conformal supergravities as Chern-Simons theories revisited
• Prepotentials for N=2 conformal supergravity in three dimensions
• Twin conformal field theories
• The Geometry of Supergravity Torsion Constraints
• Freudenthal duality and conformal isometries of extremal black holes

Cited by in corpus (4)

• Superconformal geometries and local twistors
• Supertwistor realisations of AdS superspaces
• Symmetries of $\mathcal{N}=(1,0)$ supergravity backgrounds in six dimensions
• Jung-type Inequalities and Blaschke-Santaló Diagrams for Different Diameter Variants