Singular Calabi–Yau manifolds and ADE classification of CFTs

@article{Naka2000SingularCM,
  title={Singular Calabi–Yau manifolds and ADE classification of CFTs},
  author={Michihiro Naka and Masatoshi Nozaki},
  journal={Nuclear Physics},
  year={2000},
  volume={599},
  pages={334-360}
}

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

SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds

We first discuss the relationship between the SL(2;R)/U(1) supercoset and N=2 Liouville theory and make a precise correspondence between their representations. We shall show that the discrete unitary

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

Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories

In this paper we discuss various aspects of non-compact models of CFT of the type: $ \prod_{j=1}^{N_L} {N=2 Liouville theory}_j \otimes \prod_{i=1}^{N_M} {N=2 minimal model}_i $ and $

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

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

References

SHOWING 1-10 OF 63 REFERENCES

ALE MANIFOLDS AND CONFORMAL FIELD THEORIES

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

Anti-de Sitter space and holography

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of

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

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
...