Categorical Saito theory, II: Landau-Ginzburg orbifolds

Geometry of (0,2) Landau-Ginzburg Orbifolds

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 ...

(0,2) Landau-ginzburg Theory ⋆

A large class of (0,2) Calabi-Yau σ-models and Landau-Ginzburg orbifolds are shown to arise as different “phases” of supersymmetric gauge theories. We find a phenomenon in the Landau-Ginzburg phase which may enable one to understand which Calabi-Yau σ-models evade destabilization by worldsheet instantons. Examples of (0,2) LandauGinzburg vacua are analyzed in detail, and several novel features ...

Superconductivity: Ginzburg-Landau Theory

Landau-Ginzburg Orbifolds, Mirror Symmetry and the Elliptic Genus

We compute the elliptic genus for arbitrary two dimensional N = 2 Landau-Ginzburg orbifolds. This is used to search for possible mirror pairs of such models. We show that if two Landau-Ginzburg models are conjugate to each other in a certain sense, then to every orbifold of the first theory corresponds an orbifold of the second theory with the same elliptic genus (up to a sign) and with the rol...

Equivalence of 2~ Orbifolds and Landau-ginzburg Models*

_ We show that Landau-Ginzburg models with modality one are equivalent to ZN orbifold models on two dimensional tori. The identification of the primary field content is given and the operator product coefficients of the twisted sectors are explicitly computed.