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(0,2) Mirror Symmetry

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TLDR
In this paper, the authors generalize the previously established (0,2) triality of exactly solvable models, Landau-Ginzburg theories and Calabi-Yau manifolds to a number of different classes of compactifications derived from (2, 2) vacua.
Abstract
We generalize the previously established (0,2) triality of exactly solvable models, Landau-Ginzburg theories and Calabi-Yau manifolds to a number of different classes of (0,2) compactifications derived from (2,2) vacua. For the resulting models we show that the known (2,2) mirror constructions induce mirror symmetry in the (0,2) context.

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Citations
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Loop-corrected compactifications of the heterotic string with line bundles

TL;DR: In this article, the E 8? E 8 heterotic string theory compactified on Calabi-Yau manifolds with bundles containing abelian factors in their structure group is studied.
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Monad Bundles in Heterotic String Compactifications

TL;DR: In this article, the authors studied positive monad vector bundles on complete intersection Calabi-Yau manifolds in the context of E8 x E8 heterotic string compactifications.
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Heterotic Compactification, An Algorithmic Approach

TL;DR: In this article, the authors considered string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications.
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Heterotic Compactification, An Algorithmic Approach

TL;DR: In this paper, the authors considered string phenomenology from the perspective of computational algebraic geometry, by providing new and efficient techniques for proving stability and calculating particle spectra in heterotic compactifications.
Journal ArticleDOI

Summing the Instantons in Half-Twisted Linear Sigma Models

TL;DR: In this article, the dependence of genus zero half-twisted correlators on linear sigma models with a (2, 2) locus was studied and the results of the dependence on the correlators and parameters were shown.
References
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Journal ArticleDOI

Phases of N = 2 theories in two dimensions

TL;DR: In this paper, a natural relation between sigma models based on Calabi-Yau hypersurfaces in weighted projective spaces and Landau-Ginzburg models is found.
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Unity of superstring dualities

TL;DR: In this article, it was shown that the effective action for type II string theory compactified on a six-torus is N = 8 supergravity, which is known to have an E7 duality symmetry.
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Evidence for F-theory

TL;DR: In this paper, the authors constructed compact examples of D-manifolds for type IIB strings and showed that the construction has a natural interpretation in terms of compactification of a 12-dimensional ''F-theory''.
Journal Article

Dual polyhedra and mirror symmetry for Calabi-Yau hypersurfaces in toric varieties

TL;DR: In this article, it was shown that there exists an isomorphism between two conformal field theories corresponding to Calabi-Yau varieties from two families of algebraic compactifications of affine hypersurfaces.
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Massless black holes and conifolds in string theory

TL;DR: In this paper, it was shown that low-energy effective field theories arising from Calabi-Yau string compactifications are generically inconsistent or ill-defined at the classical level because of conifold singularities in the moduli space.