Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-11
Physics
High Energy Physics
High Energy Physics - Theory
31 pages, four tables, two figures. v2: small corrections and additional references
Scientific paper
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.
Tachikawa Yuji
Terashima Seiji
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