On Geometries and Monodromies for Branes of Codimension Two

Abstract

We study geometries for the NS5-, the KK5- and the $5_2^2$-branes of codimension two in type II and heterotic string theories. The geometries are classified by monodromies that each brane has. They are the $B$-, the general coordinate and the $\beta$-transformations of the spacetime metric, the $B$-field and the dilaton (and the gauge fields). We show that the monodromy nature appears also in the geometric quantities such as the curvature and the complex structures of spacetime. They are linearly realized in the doubled (generalized) structures in the doubled space.

arXiv comment8 pages, version appeared in Phys. Lett. B

References in corpus (10)

• Evidence for F-Theory
• A Geometry for Non-Geometric String Backgrounds
• Doubled Geometry and T-Folds
• Stringy differential geometry, beyond Riemann
• Extended geometry and gauged maximal supergravity
• Exotic Branes in String Theory
• On the geometry of double field theory
• A Unique Connection for Born Geometry
• Generalized Hyperkaehler Geometry and Supersymmetry
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality

Cited by in corpus (1)

• T-duality on Almost Hermitian Spaces