Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-11-16
Nucl.Phys.B534:549-611,1998
Physics
High Energy Physics
High Energy Physics - Theory
72 pp., Harvmac (b) mode, some typos corrected, reference added
Scientific paper
10.1016/S0550-3213(98)00628-2
We discuss topological theories, arising from the general $\CN=2$ twisted gauge theories. We initiate a program of their study in the Gromov-Witten paradigm. We re-examine the low-energy effective abelian theory in the presence of sources and study the mixing between the various $p$-observables. We present the twisted superfield formalism which makes duality transformations transparent. We propose a scheme which uniquely fixes all the contact terms. We derive a formula for the correlation functions of $p$-observables on the manifolds of generalized simple type for $0 \leq p \leq 4$ and on some manifolds with $b_{2}^{+} =1$. We study the theories with matter and explore the properties of universal instanton. We also discuss the compactifications of higher dimensional theories. Some relations to sigma models of type $A$ and $B$ are pointed out and exploited.
Losev Andrei
Nekrasov Nikita
Shatashvili Samson
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