K3 fibrations and softly broken N=4 supersymmetric gauge theories
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1997
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Elsevier
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Abstract
Global geometry of K3-fibration Calabi-Yau threefolds, with Hodge number h_(2,1) = r+1, is used to define N =4 softly broken SU(r+1) gauge theories, with the bare coupling constant given by the dual heterotic dilaton, and the mass of the adjoint hypermultiplet given by the heterotic string tension. The U(r+1) Donagi-Witten integrable model is also derived from the K3-fibration structure, with the extra U(1) associated to the heterotic dilaton. The case of SU(2) gauge group is analyzed in detail. String physics beyond the heterotic point particle limit is partially described by the N =4 softly broken theory.
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© 1997 Published by Elsevier Science B.V. We thank conversations with K. Landsteiner, W. Lerche, A. Sen, C. Vafa and N. Warner. This work is partially supported under grant OFES contract number 930083 by European Community grant ERBCHRXCT920069 and by PB92-1092. The work of E. L. is supported by C.A.P.V. fellowship. The work of R. H. is supported by U.A.M. fellowship.