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Mathai-Quillen formulation of twisted N = 4 supersymmetric gauge theories in four dimensions

1997/02/13 by J.M.F. Labastida, J. M. F. Labastida, Carlos Lozano · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Quantum and Classical Electrodynamics #hep-th

paper · pdf · doi:10.1016/s0550-3213(97)00421-5

published as Nucl.Phys. B502 (1997) 741-790 · 70 pages, macropackage phyzzx

arxiv created 1997/02/13 · openalex publication_date 1997/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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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