(0,2) deformations of linear sigma models

DOI10.1007/JHEP07(2011)044zbMath1298.81146arXiv1001.2104OpenAlexW3105367711MaRDI QIDQ467300

Ilarion V. Melnikov, Maximilian Kreuzer, Moshe Ronen Plesser, Jock Mcorist

Publication date: 3 November 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2104

zbMATH Keywords

sigma modelssuperstring vacuasuperstrings and heterotic strings

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Model quantum field theories (81T10) Supersymmetric field theories in quantum mechanics (81T60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Yang-Mills and other gauge theories in quantum field theory (81T13) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Formal methods and deformations in algebraic geometry (14D15)

Related Items

Holomorphic bundles and the moduli space of \(N=1\) supersymmetric heterotic compactifications, Accidents in \((0,2)\) Landau-Ginzburg theories, Localization of twisted \( \mathcal{N}=(0,2)\) gauged linear sigma models in two dimensions, Toda-like \((0,2)\) mirrors to products of projective spaces, The MSSM spectrum from \((0,2)\)-deformations of the heterotic standard embedding, Gauged linear sigma models for toroidal orbifold resolutions, An introduction to quantum sheaf cohomology, Heterotic backgrounds via generalised geometry: moment maps and moduli, Superpotential of three dimensional \(\mathcal{N} = 1\) heterotic supergravity, Marginal deformations of Calabi-Yau hypersurface hybrids with \((2, 2)\) supersymmetry, Small Landau-Ginzburg theories, Light strings and strong coupling in F-theory, Equivariant vector bundles on \(t\)-varieties, A proposal for \((0, 2)\) mirrors of toric varieties, Testing the (0,2) mirror map, On the effective field theory of heterotic vacua, Quantum sheaf cohomology on Grassmannians, (0,2) elephants, Rational curves and (0, 2)-deformations, Quantum sheaf cohomology and duality of flag manifolds, Cohomology of line bundles: Applications, Global aspects of \((0,2)\) moduli space: toric varieties and tangent bundles

Uses Software

• PALP

Cites Work

• Summing the instantons in half-twisted linear sigma models
• Half-twisted correlators from the Coulomb branch
• Complete classification of reflexive polyhedra in four dimensions
• Toric reduction and a conjecture of Batyrev and Materov
• PALP: a package for analysing lattice polytopes with applications to toric geometry
• Notes on certain \((0,2)\) correlation functions
• Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces
• Summing the instantons: Quantum cohomology and mirror symmetry in toric varieties
• Criteria for conformal invariance of \((0,2)\) models
• \((0,2)\) Landau-Ginzburg theory
• Deformed quantum cohomology and (0,2) mirror symmetry
• Phases of \(N=2\) theories in two dimensions
• Topological heterotic rings
• The Monomial-Divisor Mirror Map
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• On Calabi-Yau Complete Intersections in Toric Varieties
• Higher Stanley–Reisner rings and toric residues
• Toric residue mirror conjecture for Calabi-Yau complete intersections
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