Heterotic orbifold resolutions as (2,0) gauged linear sigma models

Abstract

In this work we attempt to bridge the gap between heterotic orbifold models and Calabi-Yau compactifications using gauged linear sigma models (GLSMs) with (2,0) worldsheet supersymmetry. We associate a specific GLSM to a heterotic orbifold model with twisted states that have non-vanishing vacuum expectation values (VEVs): The charges of the GLSM superfields are essentially determined by the shifted momenta of these states. When a twisted state contains an oscillator excitation, a fermionic gauging is introduced on the worldsheet inducing a non-Abelian gauge bundle, e.g. the standard embedding. However, irrespectively of whether the twisted states contain oscillators or not, they can be interpreted as blow-up modes, as their VEVs are correlated with sizes of exceptional cycles in the resolved geometry. By considering marginal deformations of a GLSM in the large volume limit we are able to directly determine its effective four dimensional spectrum. In the cases considered the spectra coincide with those computed via index theorems.

4 pages, 10 figures, some typos corrected and mirror clarifications added

References in corpus (13)

• A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
• The Heterotic Road to the MSSM with R parity
• Supersymmetric Standard Model from the Heterotic String (II)
• Low Energy Supersymmetry from the Heterotic Landscape
• Heterotic MSSM on a Resolved Orbifold
• The Revival of (0,2) Linear Sigma Models
• Toric Resolutions of Heterotic Orbifolds
• Multiple anomalous U(1)s in heterotic blow-ups
• (0,2) Elephants
• Heterotic Flux Vacua from Hybrid Linear Models
• Grand Unification in the Heterotic Brane World
• Orbifold Phases of Heterotic Flux Vacua
• Blowups of Heterotic Orbifolds using Toric Geometry

Cited by in corpus (12)

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• Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
• Gauged Linear Sigma Models for toroidal orbifold resolutions
• Infinite number of MSSMs from heterotic line bundles?
• Non-Universal Anomalies in Heterotic String Constructions
• Super Weyl invariance: BPS equations from heterotic worldsheets
• T-Duality in Gauged Linear Sigma-Models with Torsion
• From Type II string theory towards BSM/dark sector physics
• Voisin-Borcea Manifolds and Heterotic Orbifold Models
• The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
• Heterotic Flux Geometry from Chiral Gauge Dynamics
• Tracing symmetries and their breakdown through phases of heterotic (2,2) compactifications