N=(4,4) Gauged Linear Sigma Models for Defect Five-branes

Abstract

We study two-dimensional $\mathcal{N}=(4,4)$ gauged linear sigma model (GLSM). Its low energy effective theory is a nonlinear sigma model whose target space gives rise to a configuration of five-branes in string theory. In this article we focus on sigma models for NS5-branes, KK5-branes and an exotic $5_2^2$-brane. In particular, we carefully analyze the GLSM for an exotic $5_2^2$-brane whose background configuration is multi-valued. The exotic $5_2^2$-brane is a concrete example of nongeometric configuration in string theory. We find that the exotic feature originates from the string winding coordinate in a very clear way. In order to complete this analysis, we propose a duality transformation formula which converts an $\mathcal{N}=(2,2)$ chiral superfield in F-term to a twisted chiral superfield coupled to an unconstrained complex superfield. This article is a short review based on arXiv:1304.4061 in collaboration with Shin Sasaki.

27 pages, a short review based on arXiv:1304.4061, convention minor changed, typos corrected

References in corpus (25)

• Dirichlet-Branes and Ramond-Ramond Charges
• Phases of $N=2$ Theories In Two Dimensions
• A Geometry for Non-Geometric String Backgrounds
• Duality, Quotients, and Currents
• Brane Dynamics and Gauge Theory
• Doubled Geometry and T-Folds
• Geometric Constructions of Nongeometric String Theories
• NS5-Branes, T-Duality and Worldsheet Instantons
• Exotic branes and non-geometric backgrounds
• Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
• Branes are Waves and Monopoles
• Nahm Transform For Periodic Monopoles And N=2 Super Yang-Mills Theory
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• Defect Branes
• Seven-branes and Supersymmetry
• Worldsheet Instanton Corrections to 522-brane Geometry
• Effective actions of non-geometric fivebranes
• Kaluza-Klein Dyons in String Theory
• Gauged Linear Sigma Model for Exotic Five-brane
• World-volume Effective Actions of Exotic Five-branes
• Rotating string in doubled geometry with generalized isometries
• Defect (p,q) Five-branes
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Gauged Linear Sigma Model with F-term for A-type ALE Space

Cited by in corpus (5)

• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• World-volume Effective Action of Exotic Five-brane in M-theory
• Semi-doubled Sigma Models for Five-branes
• Non-geometric Five-branes in Heterotic Supergravity
• Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds