N=2 Topological Yang-Mills Theory on Compact Kähler Surfaces

Abstract

We study a topological Yang-Mills theory with $N=2$ fermionic symmetry. Our formalism is a field theoretical interpretation of the Donaldson polynomial invariants on compact Kähler surfaces. We also study an analogous theory on compact oriented Riemann surfaces and briefly discuss a possible application of the Witten's non-Abelian localization formula to the problems in the case of compact Kähler surfaces.

ESENAT-93-01 & YUMS-93-10, 34pages: [Final Version] to appear in Comm. Math. Phys

References in corpus (2)

• Two Dimensional Gauge Theories Revisited
• Holomorphic Yang-Mills Theory on Compact Kähler Manifolds

Cited by in corpus (18)

• Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
• Four-Dimensional Avatars of Two-Dimensional RCFT
• Chiral Lagrangians, Anomalies, Supersymmetry, and Holomorphy
• Polynomial Invariants for SU(2) Monopoles
• SU(5)-invariant decomposition of ten-dimensional Yang-Mills supersymmetry
• Holomorphic Yang-Mills Theory on Compact Kähler Manifolds
• Topological Symmetry of forms, N=1 Supersymmetry and S-duality on Special Manifolds
• Cohomological Yang-Mills Theories on Kahler 3-Folds
• Holomorphic Superspace
• Holomorphic Yang-Mills Theory and Variation of the Donaldson Invariants
• Monads and D-instantons
• Twisted N=1, d=4 supergravity and its symmetries
• One-dimensional structures behind twisted and untwisted superYang-Mills theory
• Sigma Models for Bundles on Calabi-Yau: A Proposal for Matrix String Compactifications
• Topological Yang-Mills Theory with Two Fermionic Charges. A Superfield Approach on Kähler Manifolds
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• Higgs Bundles and Four Manifolds
• Residues and Topological Yang-Mills Theory in Two Dimensions