Semi-doubled Sigma Models for Five-branes

Abstract

We study two-dimensional $\mathcal{N}=(2,2)$ gauge theory and its dualized system in terms of complex (linear) superfields and their alternatives. Although this technique itself is not new, we can obtain a new model, the so-called "semi-doubled" GLSM. Similar to doubled sigma model, this involves both the original and dual degrees of freedom simultaneously, whilst the latter only contribute to the system via topological interactions. Applying this to the $\mathcal{N}=(4,4)$ GLSM for H-monopoles, i.e., smeared NS5-branes, we obtain its T-dualized systems in quite an easy way. As a bonus, we also obtain the semi-doubled GLSM for an exotic $5_2^3$-brane whose background is locally nongeometric. In the low energy limit, we construct the semi-doubled NLSM which also generates the conventional string worldsheet sigma models. In the case of the NLSM for $5_2^3$-brane, however, we find that the Dirac monopole equation does not make sense any more because the physical information is absorbed into the divergent part via the smearing procedure. This is nothing but the signal which indicates that the nongeometric feature emerges in the considering model.

34 pages, version published in JHEP

References in corpus (21)

• Double Field Theory
• Doubled Geometry and T-Folds
• Worldsheet Instanton Corrections to the Kaluza-Klein Monopole
• String Solitons and T-duality
• Strings and Branes are Waves
• D-Brane Wess-Zumino Terms and U-Duality
• Exotic branes and non-geometric fluxes
• Rotating string in doubled geometry with generalized isometries
• D-branes and doubled geometry
• Defect branes as Alice strings
• Defect (p,q) Five-branes
• D-branes in T-fold conformal field theory
• Hyper-Kähler with Torsion, T-duality, and Defect (p,q) Five-branes
• Gravity theory on Poisson manifold with $R$-flux
• T-duality Transformation of Gauged Linear Sigma Model with F-term
• One-Loop $\beta$ Function of the Double Sigma Model with Constant Background
• Boundary Conditions and the Generalized Metric Formulation of the Double Sigma Model
• Dimensional Reduction of the Generalized DBI
• Codimension-2 Solutions in Five-Dimensional Supergravity
• N=(4,4) Gauged Linear Sigma Models for Defect Five-branes
• Gauge-fixing Condition on Prepotential of Chiral Multiplet for Nongeometric Backgrounds

Cited by in corpus (11)

• Non-geometric branes are DFT monopoles
• 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 Gauged Linear Sigma Model for Five-branes of Codimension Two
• The different faces of branes in Double Field Theory
• Non-geometric Five-branes in Heterotic Supergravity
• Exotic Brane Junctions from F-theory
• Gauge Five-brane Solutions of Co-dimension Two in Heterotic Supergravity
• The invariant action for solitonic 5-branes
• T-duality on Almost Hermitian Spaces
• Doubled space and extended supersymmetry