Published August 14, 1995 | Version v1
Journal article

Topological reduction of 4D SYM to 2D σ-models

  • 1. Harvard Univ., Cambridge, MA (United States). Lyman Lab. of Physics

Description

By considering a (partial) topological twisting of supersymmetric Yang-Mills compactified on a 2d space with 't Hooft magnetic flux turned on we obtain a supersymmetric σ-model in 2 dimensions. For N=2 SYM this maps Donaldson observables on products of two Riemann surfaces to quantum cohomology ring of moduli space of flat connections on a Riemann surface. For N=4 SYM it maps S-duality to T-duality for σ-models on moduli space of solutions to Hitchin equations. (orig.)

Additional details

Publishing Information

Journal Title
Nuclear Physics. B
Journal Volume
448
Journal Issue
1-2
Journal Page Range
p. 166-186.
ISSN
0550-3213
CODEN
NUPBBO