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arXiv · hep-th/9702106

Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions

J. M. F. Labastida·Carlos Lozano
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Abstract

We present a detailed description of the three inequivalent twists of N=4 supersymmetric gauge theories. The resulting topological quantum field theories are reobtained in the framework of the Mathai-Quillen formalism and the corresponding moduli spaces are analyzed. We study their geometric features in each case. In one of the twists we make contact with the theory of non-abelian monopoles in the adjoint representation of the gauge group. In another twist we obtain a topological quantum field theory which is orientation reversal invariant. For this theory we show how the functional integral contributions to the vacuum expectation values leading to topological invariants notably simplify.

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J. M. F. Labastida, Carlos Lozano. 1997-02-13. Mathai-Quillen Formulation of Twisted N=4 Supersymmetric Gauge Theories in Four Dimensions. https://doi.org/10.1016/s0550-3213(97)00421-5

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