Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes

Abstract

Heterotic string compactifications can be conveniently described in the language of (2,0) gauged linear sigma models (GLSMs). Such models allow for Fayet-Iliopoulos (FI)-terms, which can be interpreted as Kahler parameters and axions on the target space geometry. We show that field dependent non-gauge invariant FI-terms lead to a Green-Schwarz-like mechanism on the worldsheet which can be used to cancel worldsheet anomalies. However, given that these FI-terms are constrained by quantization conditions due to worldsheet gauge instantons, the anomaly conditions turn out to be still rather constraining. Field dependent non-gauge invariant FI-terms result in non-Kahler, i.e. torsional, target spaces in general. When FI-terms involve logarithmic terms, the GLSM seems to describe the heterotic string in the presence of Neveu-Schwarz (NS)5 branes. In particular, when the gauge bundle overcloses the Bianchi identities, the GLSM describes a decompactified target space geometry due to anti-NS5 branes.

20 pages, sign corrected, orbifold discussion added, examples extended, references added

References in corpus (20)

• Flux Compactification
• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• The Heterotic Road to the MSSM with R parity
• Two Hundred Heterotic Standard Models on Smooth Calabi-Yau Threefolds
• Physics of String Flux Compactifications
• Supersymmetric Standard Model from the Heterotic String (II)
• Heterotic Compactification, An Algorithmic Approach
• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Torsional Heterotic Geometries
• Low Energy Supersymmetry from the Heterotic Landscape
• Heterotic MSSM on a Resolved Orbifold
• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
• Linear Sigma Models with Torsion
• Massive U(1)s and Heterotic Five-Branes on K3
• Toric Resolutions of Heterotic Orbifolds
• Heterotic Non-Kahler Geometries via Polystable Bundles on Calabi-Yau Threefolds
• Multiple anomalous U(1)s in heterotic blow-ups
• Heterotic Flux Vacua from Hybrid Linear Models
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
• Orbifold Phases of Heterotic Flux Vacua

Cited by in corpus (31)

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• F-theory and 2d (0,2) Theories
• Linear Sigma Models with Torsion
• On marginal deformations of (0,2) non-linear sigma models
• Novel Branches of (0,2) Theories
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• Quantum Gravity Bounds on N=1 Effective Theories in Four Dimensions
• 4d strings at strong coupling
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Non-Universal Anomalies in Heterotic String Constructions
• Target Spaces from Chiral Gauge Theories
• GLSMs for non-Kahler Geometries
• The Green-Schwarz Mechanism and Geometric Anomaly Relations in 2d (0,2) F-theory Vacua
• The Abelian Heterotic Conifold
• Heterotic Instantons for Monad and Extension Bundles
• Gauge Threshold Corrections for N = 2 Heterotic Local Models with Flux, and Mock Modular Forms
• T-Duality in Gauged Linear Sigma-Models with Torsion
• Dressed elliptic genus of heterotic compactifications with torsion and general bundles
• New supersymmetric index of heterotic compactifications with torsion
• Chameleonic equivalence postulate and wave function collapse
• Voisin-Borcea Manifolds and Heterotic Orbifold Models
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• On gauged linear sigma models with torsion
• Reflections of NS5 branes
• Heterotic Mini-landscape in blow-up
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Tetrahedron duality
• Heterotic Flux Geometry from Chiral Gauge Dynamics