The fate of discrete torsion on resolved heterotic Z2xZ2 orbifolds using (0,2) GLSMs
arXiv:2211.01397 · doi:10.1016/j.nuclphysb.2023.116111
Abstract
This paper aims to shed light on what becomes of discrete torsion within heterotic orbifolds when they are resolved to smooth geometries. Gauged Linear Sigma Models (GLSMs) possessing (0,2) worldsheet supersymmetry are employed as interpolations between them. This question is addressed for resolutions of the non-compact C3/Z2xZ2 and the compact T6/Z2xZ2 orbifolds to keep track of local and global aspects. The GLSMs associated with the non-compact orbifold with or without torsion are to a large extent equivalent: only when expressed in the same superfield basis, a field redefinition anomaly arises among them, which in the orbifold limit reproduces the discrete torsion phases. Previously unknown, novel resolution GLSMs for T6/Z2xZ2 are constructed. The GLSM associated with the torsional compact orbifold suffers from mixed gauge anomalies, which need to be cancelled by appropriate logarithmic superfield dependent FI-terms on the worldsheet, signalling H-flux due to NS5-branes supported at the exceptional cycles.
arXiv comment2+48 pages latex, references and some comments added
References in corpus (44)
- Phases of Theories In Two Dimensions
- A Mini-Landscape of Exact MSSM Spectra in Heterotic Orbifolds
- An SU(5) Heterotic Standard Model
- A Heterotic Standard Model
- Construction of Realistic Standard--like Models in the Free Fermionic Superstring Formulation
- The Heterotic Road to the MSSM with R parity
- Criteria for Conformal Invariance of (0,2) Models
- On Orbifolds with Discrete Torsion
- String derived MSSM and M-theory Unification
- Exploring Positive Monad Bundles And A New Heterotic Standard Model
- Heterotic mini-landscape (II): completing the search for MSSM vacua in a Z_6 orbifold
- Towards a Non-Supersymmetric String Phenomenology
- A Z2xZ2 standard model
- Heterotic Brane World
- Chiral family classification of fermionic Z2xZ2 heterotic orbifold models
- Classification of the chiral Z2XZ2 fermionic models in the heterotic superstring
- Generation Mass Hierarchy in Superstring Derived Models
- On orbifolds and free fermion constructions
- Non-supersymmetric heterotic model building
- Discrete Torsion
- Heterotic MSSM on a Resolved Orbifold
- Global U(1) R-Symmetry And Conformal Invariance Of (0,2) Models
- On the Number of Chiral Generations in Z2 X Z2 Orbifolds
- The Orbifolder: A Tool to study the Low Energy Effective Theory of Heterotic Orbifolds
- Spinor-Vector Duality in Heterotic SUSY Vacua
- Conformal Aspects of Spinor-Vector Duality
- Minimal Standard Heterotic String Models
- Linear Sigma Models with Torsion
- Classification of Standard-like Heterotic-String Vacua
- Green-Schwarz Mechanism in Heterotic (2,0) Gauged Linear Sigma Models: Torsion and NS5 Branes
- Resolving Singularities in (0,2) Models
- T-duality orbifolds of heterotic Narain compactifications
- (MS)SM-like models on smooth Calabi-Yau manifolds from all three heterotic string theories
- Moduli Fixing in Realistic String Vacua
- Classification of Non-Supersymmetric Pati-Salam Heterotic String Models
- Infinite number of MSSMs from heterotic line bundles?
- Heterotic free fermionic and symmetric toroidal orbifold models
- Heterotic orbifold resolutions as (2,0) gauged linear sigma models
- Recent Developments in Discrete Torsion
- Discrete Torsion in Perturbative Heterotic String Theory
- Some Features of (0,2) Moduli Space
- A Worldsheet Perspective on Heterotic T-Duality Orbifolds
- Constraint on Spinor-Vector Dualities in Six Dimensions
- Uncovering a Spinor-Vector Duality on a Resolved Orbifold