A Geometric Realization of Confinement

Abstract

We study the geometric realization of the Higgs phenomenon in type II string compactifications on Calabi--Yau manifolds. The string description is most directly phrased in terms of confinement of magnetic flux, with magnetic charged states arising from D-branes wrapped around chains as opposed to cycles. The rest of the closed cycle of the D-brane worldvolume is manifested as a confining flux tube emanating from the magnetic charges, in the uncompactified space. We also study corrections to hypermultiplet moduli for type II compactifications, in particular for type IIA near the conifold point.

34 pages, 7 figures; minor changes

References in corpus (15)

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• Dirichlet-Branes and Ramond-Ramond Charges
• String Theory Dynamics In Various Dimensions
• Evidence for F-Theory
• Bound States Of Strings And $p$-Branes
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• Two-Dimensional Black Hole and Singularities of CY Manifolds
• Self-Dual Strings and N=2 Supersymmetric Field Theory
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• D-Strings on D-Manifolds
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Cited by in corpus (38)

• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• Confinement and Strings in MQCD
• D-branes at Singularities, Compactification, and Hypercharge
• Compactification of Type IIB String Theory on Calabi-Yau Threefolds
• D-term inflation without cosmic strings
• Hypermultiplets and Topological Strings
• Yukawas and discrete symmetries in F-theory compactifications without section
• Sharpening the Distance Conjecture in Diverse Dimensions
• Vortices in Theories with Flat Directions
• Local string models of soft supersymmetry breaking
• D-branes in Gepner models and supersymmetry
• D-instanton partition functions
• Membrane Instantons and de Sitter Vacua
• Bound state transformation walls
• Vortices on the Higgs Branch of the Seiberg-Witten Theory
• Small Volumes in Compactified String Theory
• Instanton Action for Type II Hypermultiplets
• Fivebrane Instanton Corrections to the Universal Hypermultiplet
• On Gauge Enhancement and Singular Limits in $G_2$ Compactifications of M-theory
• Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions
• Non-perturbative orientifold transitions at the conifold
• Unification of M- and F- Theory Calabi-Yau Fourfold Vacua
• Categories of Massless D-Branes and del Pezzo Surfaces
• Type IIB Conifold Transitions in Cosmology
• Complex/Symplectic Mirrors
• Conifold singularities, resumming instantons and non-perturbative mirror symmetry
• High electric charges in M-theory from quiver varieties
• Goldstone Bosons and Global Strings in a Warped Resolved Conifold
• Some Features of (0,2) Moduli Space
• Deforming, revolving and resolving - New paths in the string theory landscape
• Quaternionic Kahler Manifolds, Constrained Instantons and the Magic Square: I
• Nielsen-Olesen strings in Supersymmetric models
• Fermion zero modes in N=2 supervortices
• Unstable vortices do not confine
• Singular manifolds, topology change and the dynamics of compactification
• The effects of inhomogeneities on the cosmology of type IIB conifold transitions
• The Weak Gravity Conjecture and BPS Particles
• The gravitational dynamics of warped throats