Singular Calabi–Yau manifolds and ADE classification of CFTs

  title={Singular Calabi–Yau manifolds and ADE classification of CFTs},
  author={Michihiro Naka and Masatoshi Nozaki},
  journal={Nuclear Physics},

Localized Modes in Type II and Heterotic Singular Calabi-Yau Conformal Field Theories

We consider type II and heterotic string compactifications on an isolated singularity in the noncompact Gepner model approach. The conifold-type ADE noncompact Calabi-Yau threefolds, as well as the

Coset Character Identities in Superstring Compactifications

We apply the coset character identities (generalization of Jacobi's abstruse identity) to compact and noncompact Gepner models. In the both cases, we prove that the partition function actually

Mirrorfolds with K3 fibrations

We study a class of non-geometric string vacua realized as completely soluble superconformal field theory (SCFT). These models are defined as `interpolating orbifolds' of K3 × S1 by the mirror

Superstring Vacua of 4-dimensional PP-Waves with Enhanced Supersymmetry

We study the superstring vacua constructed from the conformal field theories of the type H4 ? , where H4 denotes the super Nappi-Witten model (super WZW model on the 4-dimensional Heisenberg group

Duality of the Fermionic 2d Black Hole and N = 2 Liouville Theory as Mirror Symmetry

We prove the equivalence of the SL(2, R)/U(1) Kazama-Suzuki model, which is a fermionic generalization of the 2d Black Hole, and N = 2 Liouville theory. We show that this duality is an example of

D-branes on a Noncompact Singular Calabi-Yau Manifold

We investigate D-branes on a noncompact singular Calabi-Yau manifold by using the boundary CFT description, and calculate the open string Witten indices between the boundary states. The B-type




We address the problem of constructing the family of (4,4) theories associated with the σ model on a parametrized family ℳζ of asymptotically locally Euclidean (ALE) manifolds. We rely on the ADE

Exactly solvable string compactifications on manifolds of SU(N) holonomy

D-branes on Calabi-Yau spaces and their mirrors

D strings on D manifolds

Massless black holes and conifolds in string theory

Algebraic Geometry and Effective Lagrangians

Modular invariant critical superstrings on four-dimensional Minkowski space times two-dimensional black hole

Extending the seminal work of Bilal and Gervais, we construct a tachyon-free, modular invariant partition function for critical superstrings on four-dimensional Minkowski × two-dimensional black