POLYNOMIAL INVARIANTS FOR SU(2) MONOPOLES

Citation
Jmf. Labastida et M. Marino, POLYNOMIAL INVARIANTS FOR SU(2) MONOPOLES, Nuclear physics. B, 456(3), 1995, pp. 633-668
Citations number
41
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
456
Issue
3
Year of publication
1995
Pages
633 - 668
Database
ISI
SICI code
0550-3213(1995)456:3<633:PIFSM>2.0.ZU;2-Y
Abstract
We present an explicit expression for the topological invariants assoc iated to SU(2) monopoles in the fundamental representation on spin fou r-manifolds. The computation of these invariants is based on the analy sis of their corresponding topological quantum field theory, and it tu rns out that they can be expressed in terms of Seiberg-Witten invarian ts. In this analysis we use recent exact results on the moduli space o f vacua of the untwisted N = 1 and N = 2 supersymmetric counterparts o f the topological quantum field theory under consideration, as well as on electric-magnetic duality for N = 2 supersymmetric gauge theories.