Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes

Abstract

We investigate a five-branes interpretation of hyper-Kähler geometry with torsion (HKT). This geometry is obtained by conformal transformation of the Taub-NUT space which represents a Kaluza-Klein five-brane. This HKT would represent an NS5-brane on the Taub-NUT space. In order to explore the HKT further, we compactify one transverse direction, and study the $O(2,2;\mathbb{Z})=SL(2,\mathbb{Z})\times SL(2,\mathbb{Z})$ monodromy structure associated with two-torus. Performing the conjugate transformation, we obtain a new solution whose physical interpretation is a defect $(p,q)$ five-brane on the ALG space. Throughout this analysis, we understand that the HKT represents a coexistent state of two kinds of five-branes. This situation is different from composite states such as $(p,q)$ five-branes or $(p,q)$ seven-branes in type IIB theory. We also study the T-dualized system of the HKT. We again find a new solution which also indicates another defect $(p,q)$ five-brane on the ALG space.

21 pages, version published in JHEP

References in corpus (9)

• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Gauged Supergravities from Twisted Doubled Tori and Non-Geometric String Backgrounds
• D-branes in Nongeometric Backgrounds
• Rotating string in doubled geometry with generalized isometries
• Comments on Heterotic Flux Compactifications
• Index Theorems on Torsional Geometries
• Defect (p,q) Five-branes
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Supersymmetric heterotic solutions via non-SU(3) standard embedding

Cited by in corpus (4)

• Defect (p,q) Five-branes
• Unwinding strings in semi-flatland
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity