New Higgs Transitions between Dual N=2 String Models

Abstract

We describe a new kind of transition between topologically distinct $N=2$ type II Calabi--Yau vacua through points with enhanced non-abelian gauge symmetries together with fundamental charged matter hypermultiplets. We connect the appearance of matter to the local geometry of the singularity and discuss the relation between the instanton numbers of the Calabi--Yau manifolds taking part in the transition. In a dual heterotic string theory on $K3\times T^2$ the process corresponds to Higgsing a semi-classical gauge group or equivalently to a variation of the gauge bundle. In special cases the situation reduces to simple conifold transitions in the Coulomb phase of the non-abelian gauge symmetries.

22 pages, harvmac, references added

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Cited by in corpus (43)

• Geometric Singularities and Enhanced Gauge Symmetries
• Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Calabi-Yau fourfolds for M- and F-Theory compactifications
• Black Holes and Solitons in String Theory
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• BPS States of Exceptional Non-Critical Strings
• F-theory fluxes, Chirality and Chern-Simons theories
• String-Unification, Universal One-Loop Corrections and Strongly Coupled Heterotic String Theory
• (0,2) Heterotic Gauge Couplings and their M-Theory Origin
• A Calabi-Yau Database: Threefolds Constructed from the Kreuzer-Skarke List
• Equivalence of Geometric Engineering and Hanany-Witten via Fractional Branes
• Non-Perturbative Superpotentials in F-theory and String Duality
• Geometric Transitions
• Bound state transformation walls
• Landscaping with fluxes and the E8 Yukawa Point in F-theory
• Rolling among G_2 vacua
• The web of Calabi-Yau hypersurfaces in toric varieties
• A Theta lift representation for the Kawazumi-Zhang and Faltings invariants of genus-two Riemann surfaces
• Duality in String Theory
• Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua
• Effective Actions near Singularities
• Effective action from M-theory on twisted connected sum $G_2$-manifolds
• One-Instanton Test of a Seiberg-Witten Curve from M-theory: the Antisymmetric Representation of SU(N)
• Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications
• One-instanton predictions for non-hyperelliptic curves derived from M-theory
• Geometric transitions between Calabi-Yau threefolds related to Kustin-Miller unprojections
• Elliptic models and M-theory
• String Dualities and Toric Geometry: An Introduction
• String Vacua with N=2 Supersymmetry in Four Dimensions
• String Duality and Enumeration of Curves by Jacobi Forms
• Topological Amplitudes in Heterotic Strings with Wilson Lines
• Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
• Moduli stabilization in type II Calabi-Yau compactifications at finite temperature
• Jacobi Forms of Higher Index and Paramodular Groups in N=2, D=4 Compactifications of String Theory
• Dualities between K3 fibered Calabi-Yau three-folds
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• Mirror Symmetry and the Web of Landau-Ginzburg String Vacua
• Comments on D-Brane and $SO(2N)$ Enhanced Symmetry in Type II String