N=1 Heterotic string vacua from mirror symmetry

1999/04/15 by P. Mayr, Peter Mayr, Mayr, P. · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9904115

19 pages, Lectures presented at the Winter School on Vector Bundles, Mirror Symmetry, and Lagrangian Submanifolds, Harvard University, January 1999, v2: typos corrected, comments added

openalex publication_date 1999/04/15 · arxiv created 1999/10/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We review a systematic construction of \cx N=1 supersymmetric heterotic string vacua using mirror symmetry. The method provides a large class of explicit solutions for stable, holomorphic vector bundles on Calabi-Yau n-folds Z_n in terms of toric geometry. Phenomenologically interesting compactifications as well as non-perturbative dynamics of the heterotic string are discussed within this framework.

Citations

• K3 Surfaces and String Duality

Cited by

• Toric Geometry, Enhanced non Simply laced Gauge Symmetries in Superstrings and F-theory Compactifications

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• The Construction of Mirror Symmetry
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