Seiberg-Witten Geometries Revisited

Abstract

We provide a uniform solution to 4d N=2 gauge theory with a single gauge group G=A,D,E when the one-loop contribution to the beta function from any irreducible component R of the hypermultiplets is less than or equal to half of that of the adjoint representation. The solution is given by a non-compact Calabi-Yau geometry, whose defining equation is built from explicitly known polynomials W_G and X_R, associated respectively to the gauge group G and each irreducible component R. We provide many pieces of supporting evidence, for example by analyzing the system from the point of view of the 6d N=(2,0) theory compactified on a sphere.

31 pages, four tables, two figures. v2: small corrections and additional references

References in corpus (4)

• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• Rigid Surface Operators

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• Categorical Tinkertoys for N=2 Gauge Theories
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• RG flows with supersymmetry enhancement and geometric engineering
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• Higher Derivative Corrections and Central Charges from Wrapped M5-branes
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• Tinkertoys for the E7 Theory
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• Resolving spacetime singularities in flux compactifications & KKLT
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• Singular points in N=2 SQCD
• Homological Classification of 4d $\mathcal{N}=2$ QFT. Part I: Rank-1 revisited
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