Computing the Complete Massless Spectrum of a Landau-Ginzburg Orbifold

Abstract

We develop techniques to compute the complete the massless spectrum in heterotic string compactification on N=2 supersymmetric Landau-Ginzburg orbifolds. This includes not just the familiar charged fields, but also the gauge singlets. The number of gauge singlets can vary in the moduli space of a given compactification and can differ from what it would be in the large radius limit of the corresponding Calabi-Yau. Comparison with exactly soluble Gepner models provides a confirmation of our results at Gepner points. Our methods carry over straightforwardly to $(0,2)$ Landau-Ginzburg models.

34 pp, reference added

References in corpus (2)

• Phases of $N=2$ Theories In Two Dimensions
• Topological First-Order Systems with Landau-Ginzburg Interactions

Cited by in corpus (49)

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• Calculating the Superconformal Index and Seiberg Duality
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• Geometry of (0,2) Landau-Ginzburg Orbifolds
• (0,2) Mirror Symmetry
• The Revival of (0,2) Linear Sigma Models
• Duality of (0,2) String Vacua
• The (0,2) Exactly Solvable Structure of Chiral Rings, Landau-Ginzburg Theories and Calabi-Yau Manifolds
• A-twisted Landau-Ginzburg models
• Singlet Couplings and (0,2) Models
• Heterotic Coset Models and (0,2) String Vacua
• On Orbifolds of (0,2) Models
• (0,2) Elephants
• Target Space Duality for (0,2) Compactifications
• Heterotic orbifold resolutions as (2,0) gauged linear sigma models
• Effective superpotentials for B-branes in Landau-Ginzburg models
• Accidents in (0,2) Landau-Ginzburg theories
• Exploring the Moduli Space of (0,2) Strings
• Linear Sigma Models for Open Strings
• Hybrid conformal field theories
• Computing the Spectrum of a Heterotic Flux Vacuum
• General aspects of heterotic string compactifications on stacks and gerbes
• Aspects of (0,2) Orbifolds and Mirror Symmetry
• F-theory and linear sigma models
• Chiral Algebras of Two-Dimensional SYK Models
• Orbifold Phases of Heterotic Flux Vacua
• Quantum Symmetries and Stringy Instantons
• Categorical Equivalence and the Renormalization Group
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• Elusive Worldsheet Instantons in Heterotic String Compactifications
• Old issues and linear sigma models
• (0,2) hybrid models
• Notes on (0,2) Superconformal Field Theories
• BPS jumping loci and special cycles
• Counting charged massless states in the (0,2) heterotic CFT/geometry connection
• New Evidence for (0,2) Target Space Duality
• A McKay-Like Correspondence for (0,2)-Deformations
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• Quantum cohomology from mixed Higgs-Coulomb branches
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• Miracle at the Gepner Point
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• Perturbative deformations of conformal field theories revisited
• Tracing symmetries and their breakdown through phases of heterotic (2,2) compactifications
• A Mathematica code for calculating massless spectrum of (0,2) Landau-Ginzburg orbifold
• (0,2) String Compactifications: The Higgs Mechanism
• Topological Heterotic Rings