On a Boundary CFT Description of Nonperturbative N=2 Yang-Mills Theory

Abstract

We describe a simple method for determining the strong-coupling BPS spectrum of four dimensional N=2 supersymmetric Yang-Mills theory. The idea is to represent the magnetic monopoles and dyons in terms of D-brane boundary states of a non-compact d=2 N=2 Landau-Ginzburg model. In this way the quantum truncated BPS spectrum at the origin of the moduli space can be directly mapped to the finite number of primary fields of the superconformal minimal models.

arXiv comment14p, one figure, harvmac, v2: minor changes plus typos corrected, refs added

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• Formation of Spherical D2-brane from Multiple D0-branes
• D-branes in Little String Theory
• The BPS Spectrum of N=2 SU(N) SYM and Parton Branes
• String Webs from Field Theory
• The matrix factorisations of the D-model
• D-Branes on ALE Spaces and the ADE Classification of Conformal Field Theories
• D-branes in Singular Calabi-Yau n-fold and N=2 Liouville Theory
• Gepner-like Description of a String Theory on a Noncompact Singular Calabi-Yau Manifold
• Liouville Field, Modular Forms and Elliptic Genera
• Boundary Rings and N=2 Coset Models
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• Singular Calabi-Yau Manifolds and ADE Classification of CFTs
• Modular Forms and Elliptic Genera for ALE Spaces
• Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry
• Regge Trajectories in $\mathcal{N}=2$ Supersymmetric Yang-Mills Theory
• Non-Critical String Duals of N=1 Quiver Theories
• Twisted boundary states in Kazama-Suzuki models
• Black Hole - String Transition and Rolling D-brane
• Crosscap states in N=2 Liouville theory
• Landau-Ginzburg Description of D-branes on ALE Spaces
• Non-compact Mirror Bundles and (0,2) Liouville Theories