Worldsheet Description of Exotic Five-brane with Two Gauged Isometries

Abstract

We study the string worldsheet description of the background geometry of the exotic $5_2^2$-brane where two isometries are gauged. This is an extension of the gauged linear sigma model (GLSM) for the exotic $5_2^2$-brane with a single gauged isometry. The new GLSM with two gauged isometries has only $\mathcal{N}=(2,2)$ supersymmetry rather than $\mathcal{N}=(4,4)$ supersymmetry of the original GLSM. This is caused by a conflict between two different $SU(2{)}_R$ associated with the two gauge symmetries. However, if we take a certain limit, we can find the genuine string sigma model of the background geometry of the exotic $5_2^2$-brane with $\mathcal{N}=(4,4)$ supersymmetry. We also investigate the worldsheet instanton corrections to the background geometry of the exotic $5_2^2$-brane. The worldsheet instanton corrections to the string sigma model can be traced in terms of the two gauge fields in the new GLSM. This new GLSM gives rise to a different feature of the quantum corrections from the one in the GLSM with the single gauged isometry.

32 pages, accepted version in JHEP

References in corpus (2)

• Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
• Worldsheet Instanton Corrections to 522-brane Geometry

Cited by in corpus (26)

• Branes are Waves and Monopoles
• NS-branes, source corrected Bianchi identities, and more on backgrounds with non-geometric fluxes
• World-volume Effective Actions of Exotic Five-branes
• Exotic branes and non-geometric fluxes
• Non-commutativity and non-associativity of the doubled string in non-geometric backgrounds
• Five-brane actions in double field theory
• Worldsheet Instanton Corrections to Five-branes and Waves in Double Field Theory
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• Exotic branes in Exceptional Field Theory: the SL(5) duality group
• World-volume Effective Action of Exotic Five-brane in M-theory
• Defect (p,q) Five-branes
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Semi-doubled Sigma Models for Five-branes
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• Classifying Supersymmetric Solutions in 3D Maximal Supergravity
• Semi-doubled Gauged Linear Sigma Model for Five-branes of Codimension Two
• Gauged Linear Sigma Model with F-term for A-type ALE Space
• Codimension-2 Solutions in Five-Dimensional Supergravity
• Non-geometric Five-branes in Heterotic Supergravity
• Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds
• Exotic Brane Junctions from F-theory
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• Localization of Gauged Linear Sigma Model for KK5-branes
• World-volume Effective Theories of Locally Non-geometric Branes
• Reductions of Exceptional Field Theories
• Exotic branes and mixed-symmetry potentials I: predictions from $E_{11}$ symmetry