Monopole Dynamics in N=2 super Yang-Mills Theory From a Threebrane Probe

Abstract

The BPS states of N=2 super Yang-Mills theory with gauge group SU(2) are constructed as non-trivial finite-energy solutions of the worldvolume theory of a threebrane probe in F theory. The solutions preserve 1/2 of N=2 supersymmetry and provide a worldvolume realization of strings stretching from the probe to a sevenbrane. The positions of the sevenbranes correspond to singularities in the field theory moduli space and to curvature singularities in the supergravity background. We explicitly show how the UV cut off of the effective field theory is mapped into an IR cut off in the supergravity. Finally, we discuss some features of the moduli spaces of these solutions.

26 pages, harvmac, some equations corrected in section 3. No conclusions changed, references added. Apologies to those not previously referenced, final version to appear in Nucl. Phys. B

References in corpus (30)

• The Holographic Bound in Anti-de Sitter Space
• The Large N Limit of $\mathcal{N}=2,1$ Field Theories from Threebranes in F-theory
• Large N Superconformal Gauge Theories and Supergravity Orientifolds
• String Junctions for Arbitrary Lie Algebra Representations
• Open string - string junction transitions
• The Shape of Branes Pulled by Strings
• Dilaton-driven confinement
• Generalized Conformal Symmetry in D-Brane Matrix Models
• Space-Time Uncertainty Principle and Conformal Symmetry in D-Particle Dynamics
• Self-Dual Effective Action of N=4 Super-Yang Mills
• Constraints on the BPS Spectrum of N = 2, D = 4 Theories with A-D-E Flavor Symmetry
• D3-brane - D-instanton configuration and N=4 super YM theory in constant self-dual background
• Geometric Realizations of BPS States in N=2 Theories
• Quantum Metamorphosis of Conformal Transformation in D3-Brane Yang-Mills Theory
• String Junctions and BPS States in Seiberg-Witten Theory
• Finite energy Dirac-Born-Infeld monopoles and string junctions
• Two-Boundaries AdS/CFT Correspondence in Dilatonic Gravity
• Solution of N=2 Gauge Theories via Compactification to Three Dimensions
• Classical M-Fivebrane Dynamics and Quantum N=2 Yang-Mills
• Kahler Potential and Higher Derivative Terms from M Theory Fivebrane
• Attractors at weak gravity
• Running gauge coupling and quark-antiquark potential from dilatonic gravity
• Monopoles and the Gibbons-Manton metric
• Gauge Fields and M-Fivebrane Dynamics
• Self-Intersection Number of BPS Junctions in Backgrounds of Three and Seven-Branes
• Non-holomorphic Corrections from Threebranes in F Theory
• N=2 Superfields and the M-Fivebrane
• Higher Derivative Terms from Threebranes in F Theory
• New Perspectives on the Quest for Unification
• Solving Four Dimensional Field Theories with the Dirichlet Fivebrane

Cited by in corpus (12)

• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• A Stable Supergravity Dual of Non-supersymmetric Glue
• On Low-Energy Effective Action in N=2 Super Yang-Mills Theories on Non-Abelian Background
• Geometry of the Nonabelian DBI Dyonic Instanton
• BPS Soliton Solutions of a D3-brane Action
• Holographic Entanglement Entropy of the Coulomb Branch
• Supergravity Solution for M5-brane Intersection
• Holographic Wilson Lines as Screened Impurities
• Holographic Coulomb Branch Solitons, Quasinormal Modes, and Black Holes
• Non-BPS Dyons and Branes in the Dirac-Born-Infeld Theory
• The mass formula for a fundamental string as a BPS solution of a D-brane's worldvolume
• Threebranes in F-theory