Four-manifold geography and superconformal symmetry
Differential Geometry
2007-05-23 v2 High Energy Physics - Theory
Abstract
A compact oriented 4-manifold is defined to be of ``superconformal simple type'' if certain polynomials in the basic classes (constructed using the Seiberg-Witten invariants) vanish identically. We show that all known 4-manifolds of are of superconformal simple type, and that the numerical invariants of 4-manifolds of superconformal simple type satisfy a generalization of the Noether inequality. We sketch how these phenomena are predicted by the existence of certain four-dimensional superconformal quantum field theories.
Cite
@article{arxiv.math/9812042,
title = {Four-manifold geography and superconformal symmetry},
author = {Marcos Marino and Gregory Moore and Grigor Peradze},
journal= {arXiv preprint arXiv:math/9812042},
year = {2007}
}
Comments
9 pages, harvmac b mode, a reference corrected