Topological Membrane Solitons and Loop Orders of Membrane Scatterings in Mtheory
Abstract
Two topological issues on membranes in Mtheory are studied: (1) Soliton is an important subject in Mtheory. Under the framework of obstruction theory with the help from framed links in $S^3$, we give a complete enumeration of topological membrane solitons in a stringadmissible targetspace of the form a product of Minkowskian spacetimes, tori, and K3surfaces. Patching of these solitons and their topological charges are also defined and discussed. (2) Loop order of membrane scatterings is the basis for a perturbative Mtheory. We explore this concept with emphases on its distinct features from pointlike and stringlike particles. For completeness, a light exposition on homologies of compact oriented 3manifolds is given in the Appendix.
 Publication:

arXiv eprints
 Pub Date:
 October 1996
 arXiv:
 arXiv:hepth/9610042
 Bibcode:
 1996hep.th...10042L
 Keywords:

 High Energy Physics  Theory
 EPrint:
 38 pages, 14 figures in .eps files