2002/09/12 by Nick Dorey, Timothy J. Hollowood, Timothy J Hollowood +2 · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1088/1126-6708/2002/11/040
published as JHEP 0211:040,2002 · 9 pages, JHEP.cls
arxiv created 2002/09/12 · openalex publication_date 2002/11/20 · arxiv updated 2011/04/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this note we show how Dijkgraaf and Vafa's hypothesis relating the exact superpotential of an N=1 theory to a matrix model can be used to describe all the massive vacua of the N=1*, or mass deformed N=4, theory including the Higgs vacuum. The matrix model computation of the superpotential for each massive vacuum independently yields a modular function of the associated effective coupling in that vacuum which agrees with previously derived results up to a vacuum-independent additive constant. The results in the different massive vacua can be related by the action of SL(2,Z) on the N=4 coupling, thus providing evidence for modular invariance of the underlying N=4 theory.