Dyonmonopole bound states, selfdual harmonic forms on the multimonopole moduli space, and SL (2,Z) invariance in string theory
Abstract
Existence of SL(2,Z) duality in toroidally compactified heterotic string theory (or in the N = 4 supersymmetric gauge theories), that includes the strongweak coupling duality transformation, implies the existence of certain supersymmetric bound states of monopoles and dyons. We show that the existence of these bound states, in turn, requires the existence of certain normalizable, (anti) selfdual, harmonic forms on the moduli space of BPS multimonopole configurations, with specific symmetry properties. We give an explicit construction of this harmonic form on the two monopole moduli space, thereby proving the existence of all the required bound states in the twomonopole sector.
 Publication:

Physics Letters B
 Pub Date:
 June 1994
 DOI:
 10.1016/03702693(94)907633
 arXiv:
 arXiv:hepth/9402032
 Bibcode:
 1994PhLB..329..217S
 Keywords:

 High Energy Physics  Theory
 EPrint:
 10 pages, phyzzx.tex, TIFRTH9408, (Minor typographical errors have been corrected and some new references have been added)