14 Citations
Coset Character Identities in Superstring Compactifications
- Mathematics
- 2002
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
- Mathematics
- 2004
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
- Physics
- 2001
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
- Mathematics
- 2000
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
- Mathematics
- 2004
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
- Mathematics
- 2008
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
- Physics, Mathematics
- 2008
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
Gepner-like description of a string theory on a noncompact singular Calabi–Yau manifold
- Mathematics
- 2001
ALE MANIFOLDS AND CONFORMAL FIELD THEORIES
- Mathematics
- 1994
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
- Physics
- 1998
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…
Modular invariant critical superstrings on four-dimensional Minkowski space times two-dimensional black hole
- Mathematics
- 2000
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…