Script N = 1* in 5 dimensions: DijkgraafVafa meets PolchinskiStrassler
Abstract
One of the powerful techniques to analyze the 5 dimensional Super Yang Mills theory with a massive hypermultiplet (Script N = 1*) is provided by the AdS/CFT correspondence. It predicts that, for certain special values of the hypermultiplet mass, this theory develops nonperturbative branches of the moduli space as well as new light degrees of freedom. We use the higher dimensional generalization of the matrix model/gauge theory correspondence and recover all the prediction of the supergravity analysis. We construct the map between the four dimensional holomorphic superpotential and the five dimensional action and explicitly show that the superpotential is flat along the nonperturbative branches. This is the first instance in which the DijkgraafVafa method is used to analyze intrinsically higher dimensional phenomena.
 Publication:

Journal of High Energy Physics
 Pub Date:
 November 2003
 DOI:
 10.1088/11266708/2003/11/001
 arXiv:
 arXiv:hepth/0308013
 Bibcode:
 2003JHEP...11..001B
 Keywords:

 Field Theories in Higher Dimensions Duality in Gauge Field Theories Dbranes AdSCFT and dSCFT Correspondence;
 High Energy Physics  Theory
 EPrint:
 28 pages, Latex