Worldsheet Instanton Corrections to the Kaluza-Klein Monopole

Abstract

The Kaluza-Klein monopole is a well known object in both gravity and string theory, related by T-duality to a "smeared" NS5-brane which retains the isometry around the duality circle. As the true NS5-brane solution is localized at a point on the circle, duality implies that the Kaluza-Klein monopole should show some corresponding behavior. In this paper, we express the Kaluza-Klein monopole as a gauged linear sigma model in two dimensions and show that worldsheet instantons give corrections to its geometry. These corrections can be understood as a localization in "winding space" which could be probed by strings with winding charge around the circle.

20 pages, REVTeX, v2: minor equation correction

Cited by in corpus (28)

• Double Field Theory
• TASI Lectures on Solitons
• Background Field Equations for the Duality Symmetric String
• The KK-Monopole/NS5-Brane in Doubled Geometry
• Non-geometric branes are DFT monopoles
• Elliptic genera of ALE and ALF manifolds from gauged linear sigma models
• Nonsupersymmetric Brane/Antibrane Configurations in Type IIA and M Theory
• Flux compactifications, twisted tori and doubled geometry
• Defect (p,q) Five-branes
• Unwinding strings in semi-flatland
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Relating Conifold Geometries to NS5-branes
• Geometric Tachyon to Universal Open String Tachyon
• Hyperkähler, Bi-hypercomplex, Generalized Hyperkähler Structures and T-duality
• Linear Sigma Models for the R^8/Z_k Orbifold
• Complex Structures, T-duality and Worldsheet Instantons in Born Sigma Models
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• Five-brane Current Algebras in Type II String Theories
• Smearing Effect in Plane-Wave Matrix Model
• Localization of Gauged Linear Sigma Model for KK5-branes
• On the Universal Tachyon and Geometrical Tachyon
• Topological T-duality and Kaluza-Klein Monopoles
• The invariant action for solitonic 5-branes
• Duality Covariant Solutions in Extended Field Theories
• Localized Kaluza-Klein 6-brane
• A T-Fold Black Hole in Doubled Type IIB
• T-duality on Almost Hermitian Spaces
• Exotic Aspects of Extended Field Theories