Geometry of (0,2) Landau-Ginzburg Orbifolds

Abstract

Several aspects of (0,2) Landau-Ginzburg orbifolds are investigated. Especially the elliptic genera are computed in general and, for a class of models recently invented by Distler and Kachru, they are compared with the ones from (0,2) sigma models. Our formalism gives an easy way to calculate the generation numbers for lots of Distler-Kachru models even if they are based on singular Calabi-Yau spaces. We also make some general remarks on the Born-Oppenheimer calculation of the ground states elucidating its mathematical meaning in the untwisted sector. For Distler-Kachru models based on non-singular Calabi-Yau spaces we show that there exist `residue' type formulas of the elliptic genera as well.

30 pages, LaTeX, KEK-TH 389 ( a reference added)

References in corpus (7)

• Phases of $N=2$ Theories In Two Dimensions
• (0,2) Landau-Ginzburg Theory
• Multiple Mirror Manifolds and Topology Change in String Theory
• Computing the Complete Massless Spectrum of a Landau-Ginzburg Orbifold
• Ramond Sector Characters and N=2 Landau-Ginzburg Models
• Topological First-Order Systems with Landau-Ginzburg Interactions
• N=2 gauged WZW models and the elliptic genus

Cited by in corpus (39)

• Elliptic genera of 2d N=2 gauge theories
• Elliptic genera of two-dimensional N=2 gauge theories with rank-one gauge groups
• M-Strings
• (0,2) Trialities
• (0,2) Mirror Symmetry
• M-strings, Elliptic Genera and N=4 String Amplitudes
• Duality of (0,2) String Vacua
• $N=2$ heterotic string threshold correction, $K3$ surface and generalized Kac-Moody superalgebra
• Notes on nonabelian (0,2) theories and dualities
• On Orbifolds of (0,2) Models
• (0,2) Elephants
• Half-Twisted (0,2) Landau-Ginzburg Models
• D-Branes and Quotient Singularities of Calabi-Yau Fourfolds
• Supersymmetric localization in two dimensions
• Complex vector bundles and Jacobi forms
• Factorization of 4d N=1 superconformal index
• Higher rank K-theoretic Donaldson-Thomas theory of points
• Exploring the Moduli Space of (0,2) Strings
• Duality of Orbifoldized Elliptic Genera
• Supersymmetric indices on $I\times T^2$, elliptic genera and dualities with boundaries
• A rank 2 Dijkgraaf-Moore-Verlinde-Verlinde formula
• Aspects of (0,2) Orbifolds and Mirror Symmetry
• Chiral operators in two-dimensional (0,2) theories and a test of triality
• Chiral Algebras of Two-Dimensional SYK Models
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Quantum Symmetries and Stringy Instantons
• The $\mathcal{N}=2$ Supersymmetric $w_{1+\infty }$ Symmetry in the Two-Dimensional SYK Models
• Lectures on 4d N=1 dynamics and related topics
• New supersymmetric index of heterotic compactifications with torsion
• (0,2) hybrid models
• Notes on (0,2) Superconformal Field Theories
• Small Landau-Ginzburg theories
• Fixed points of (0,2) Landau-Ginzburg renormalization group flows and the chiral algebra
• Elliptic Genera of N=2 Hermitian Symmetric Space Models
• A (0,2) mirror duality
• Calabi-Yau black holes and (0,4) sigma models
• N=(0,2) Deformation of the N=(2,2) Wess-Zumino Model in Two Dimensions
• Gromov-Witten Theory and Threshold Corrections
• Three generation Distler-Kachru models