Displaying similar documents to “The L 2 metric in gauge theory: an introduction and some applications”

Seiberg-Witten Theory

Jürgen Eichhorn, Thomas Friedrich (1997)

Banach Center Publications

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We give an introduction into and exposition of Seiberg-Witten theory.

Higher order connections.

Eastwood, Michael G. (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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The configuration space of gauge theory on open manifolds of bounded geometry

Jürgen Eichhorn, Gerd Heber (1997)

Banach Center Publications

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We define suitable Sobolev topologies on the space 𝒞 P ( B k , f ) of connections of bounded geometry and finite Yang-Mills action and the gauge group and show that the corresponding configuration space is a stratified space. The underlying open manifold is assumed to have bounded geometry.

Super Wilson Loops and Holonomy on Supermanifolds

Josua Groeger (2014)

Communications in Mathematics

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The classical Wilson loop is the gauge-invariant trace of the parallel transport around a closed path with respect to a connection on a vector bundle over a smooth manifold. We build a precise mathematical model of the super Wilson loop, an extension introduced by Mason-Skinner and Caron-Huot, by endowing the objects occurring with auxiliary Graßmann generators coming from S -points. A key feature of our model is a supergeometric parallel transport, which allows for a natural notion of...