Geometry of N = 1 dualities in four dimensions
Abstract
We discuss how N = 1 dualities in four dimensions are geometrically realized by wrapping Dbranes about 3cycles of CalabiYau threefolds. In this setup the N = 1 dualities for SU, SO and USp gauge groups with fundamental fields get mapped to statements about the monodromy and relations among 3cycles of CalabiYau threefolds. The connection between the theory and its dual requires passing through configurations which are Tdual to the wellknown phenomenon of decay of BPS states in N = 2 field theories in four dimensions. We compare our approach to recent works based on configurations of Dbranes in the presence of NS 5branes and give simple classical geometric derivations of various exotic dynamics involving Dbranes ending on NS branes.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)003040
 arXiv:
 arXiv:hepth/9702180
 Bibcode:
 1997NuPhB.500...62O
 Keywords:

 High Energy Physics  Theory
 EPrint:
 16 pages, harvmac