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Twisted N=2 Supersymmetry with Central Charge and Equivariant Cohomology
High Energy Physics - Theory · Submitted 25 Mar 1996
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The associated Topological Quantum Field Theories correspond to twisted $N=2$ supersymmetric theories with a central charge.
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The abstract, sentence by sentence
We present an equivariant extension of the Thom form with respect to a vector field action, in the framework of the Mathai-Quillen formalism. The associated Topological Quantum Field Theories correspond to twisted $N=2$ supersymmetric theories with a central charge. We analyze in detail two different cases: topological sigma models and non-abelian monopoles on four-manifolds.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We present an equivariant extension of the Thom form with respect to a vector field action, in the framework of the Mathai-Quillen formalism. | contribution 0.98 | 0.91 | 0.19 | asserted 1.00 |
| s1 | The associated Topological Quantum Field Theories correspond to twisted $N=2$ supersymmetric theories with a central charge. | interpretation 0.60 | 0.61 | 0.48 | asserted 1.00 |
| s2 | We analyze in detail two different cases: topological sigma models and non-abelian monopoles on four-manifolds. | contribution 0.98 | 0.92 | 0.12 | asserted 0.99 |
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Original abstract
We present an equivariant extension of the Thom form with respect to a vector field action, in the framework of the Mathai-Quillen formalism. The associated Topological Quantum Field Theories correspond to twisted $N=2$ supersymmetric theories with a central charge. We analyze in detail two different cases: topological sigma models and non-abelian monopoles on four-manifolds.
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