Mirrorfolds with K3 Fibrations

Abstract

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 $K3\times S^1$ by the mirror transformation acting on the $K3$ fiber combined with the half-shift on the $S^1$-base. They are variants of the T-folds, the interpolating orbifolds by T-duality transformations, and thus may be called `mirrorfolds'. Starting with arbitrary (compact or non-compact) Gepner models for the $K3$ fiber, we construct modular invariant partition functions of general mirrorfold models. In the case of compact $K3$ fiber the mirrorfolds only yield non-supersymmetric string vacua. They exhibit IR instability due to winding tachyon condensation which is similar to the Scherk-Schwarz type circle compactification. When the fiber SCFT is non-compact (say, the ALE space in the simplest case), on the other hand, both supersymmetric and non-supersymmetric vacua can be constructed. The non-compact non-supersymmetric mirrorfolds can get stabilised at the level of string perturbation theory. We also find that in the non-compact supersymmeric mirrorfolds D-branes are {\em always} non-BPS. These D-branes can get stabilized against both open- and closed-string marginal deformations.

Eqns (2.61) and (3.17) corrected

References in corpus (40)

• A Geometry for Non-Geometric String Backgrounds
• Two-Dimensional Black Hole and Singularities of CY Manifolds
• Doubled Geometry and T-Folds
• Generalised T-Duality and Non-Geometric Backgrounds
• Global Aspects of T-Duality, Gauged Sigma Models and T-Folds
• Vacuum Energy Cancellation in a Non-supersymmetric String
• Background Field Equations for the Duality Symmetric String
• Integrable highest weight modules over affine superalgebras and Appell's function
• Modular Bootstrap for Boundary N=2 Liouville Theory
• Lectures on Nongeometric Flux Compactifications
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• SL(2,R)/U(1) Supercoset and Elliptic Genera of Non-compact Calabi-Yau Manifolds
• String Duality and Non-supersymmetric Strings
• Flux Compactifications of M-Theory on Twisted Tori
• Non-Supersymmetric Type I Strings with Zero Vacuum Energy
• Notes on Non-Critical Superstrings in Various Dimensions
• Boundary States for the Rolling D-branes in NS5 Background
• D-branes in Nongeometric Backgrounds
• D-branes in N=2 Liouville and its mirror
• The partition function of the supersymmetric two-dimensional black hole and little string theory
• Higher-Level Appell Functions, Modular Transformations, and Characters
• D-branes and extended characters in SL(2,R)/U(1)
• One-Point Functions of N=2 Super-Liouville Theory with Boundary
• Modular Invariance in Superstring on Calabi-Yau n-fold with A-D-E Singularity
• The string partition function in Hull's doubled formalism
• Nongeometry, Duality Twists, and the Worldsheet
• Worldsheet CFTs for Flat Monodrofolds
• Modular Invariant Critical Superstrings on Four-dimensional Minkowski Space $\times$ Two-dimensional Black Hole
• Conifold Type Singularities, N=2 Liouville and SL(2;R)/U(1) Theories
• Quantum Mechanics of the Doubled Torus
• String Theory on G_2 Manifolds Based on Gepner Construction
• Gepner-like Description of a String Theory on a Noncompact Singular Calabi-Yau Manifold
• Superstring partition functions in the doubled formalism
• Twisting K3 x T^2 Orbifolds
• Noncompact Gepner Models with Discrete Spectra
• Singular Calabi-Yau Manifolds and ADE Classification of CFTs
• Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
• Coset Character Identities in Superstring Compactifications
• Noncompact Gepner Models for Type II Strings on a Conifold and an ALE Instanton
• D-branes on a Noncompact Singular Calabi-Yau Manifold

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• More on Non-supersymmetric Asymmetric Orbifolds with Vanishing Cosmological Constant
• Flux compactifications, twisted tori and doubled geometry
• Non-geometric Calabi-Yau Backgrounds and K3 automorphisms
• Asymmetric Gepner models in type II
• Lie algebra lattices and strings on T-folds
• Ground States of Duality-twisted Sigma-Models with K3 Target Space
• Non-geometric Backgrounds Based on Topological Interfaces
• Non-supersymmetric D-branes with Vanishing Cylinder Amplitudes in Asymmetric Orbifolds