Explicit construction of \(N=2\) superconformal orbifolds

DOI10.1134/S0040577921100044zbMath1482.81033OpenAlexW3206502170MaRDI QIDQ2056832

Alexander A. Belavin, Sergei E. Parkhomenko

Publication date: 8 December 2021

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0040577921100044

zbMATH Keywords

superstring theoryCalabi-Yau compactificationminimal models of \(N=2\) superconformal field theory

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spectral flows (58J30) Topology and geometry of orbifolds (57R18) Dimensional compactification in quantum field theory (81T33)

Related Items (3)

Explicit construction of \(N = 2\) SCFT orbifold models. Spectral flow and mutual locality ⋮ Mirror symmetry and new approach to constructing orbifolds of Gepner models ⋮ Spectral flow construction of mirror pairs of CY orbifolds

Cites Work

• A generalized construction of mirror manifolds
• On the equivalence of Batyrev and BHK mirror symmetry constructions
• FJRW-rings and mirror symmetry
• Resolutions and characters of irreducible representations of the \(N=2\) superconformal algebra
• Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
• Free-field resolutions of unitary representations of the \(N=2\) Virasoro algebras. II: The butterfly resolution

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