Issues in topological gauge theory

DOI10.1016/S0550-3213(98)00628-2zbMATH Open0954.57013arXivhep-th/9711108OpenAlexW3102547706MaRDI QIDQ1570716

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Publication date: 11 July 2000

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Abstract: We discuss topological theories, arising from the general $mathcalN=2$ 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 $0leqpleq4$ 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.

Full work available at URL: https://arxiv.org/abs/hep-th/9711108

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