منابع مشابه
Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology
We review and elaborate on some aspects of the quantization of certain classes of higher abelian gauge theories using techniques of generalized differential cohomology. Particular emphasis is placed on the examples of generalized Maxwell theory and Cheeger–Simons cohomology, and of Ramond–Ramond fields in Type II superstring theory and differential K-theory.
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Just as gauge theory describes the parallel transport of point particles using connections on bundles, higher gauge theory describes the parallel transport of 1-dimensional objects (e.g. strings) using 2-connections on 2-bundles. A 2-bundle is a categorified version of a bundle: that is, one where the fiber is not a manifold but a category with a suitable smooth structure. Where gauge theory us...
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I categorify the definition of fibre bundle, replacing smooth manifolds with differentiable categories, Lie groups with coherent Lie 2-groups, and bundles with a suitable notion of 2-bundle. To link this with previous work, I show that certain 2-categories of principal 2-bundles are equivalent to certain 2-categories of (nonabelian) gerbes. This relationship can be (and has been) extended to co...
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In this easy introduction to higher gauge theory, we describe parallel transport for particles and strings in terms of 2-connections on 2-bundles. Just as ordinary gauge theory involves a gauge group, this generalization involves a gauge ‘2-group’. We focus on 6 examples. First, every abelian Lie group gives a Lie 2-group; the case of U(1) yields the theory of U(1) gerbes, which play an importa...
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The term higher gauge theory refers to the generalization of gauge theory to a theory of connections at two levels, essentially given by 1and 2-forms. So far, there have been two approaches to this subject. The differential picture uses non-Abelian 1and 2-forms in order to generalize the connection 1-form of a conventional gauge theory to the next level. The integral picture makes use of curves...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2016
ISSN: 1029-8479
DOI: 10.1007/jhep04(2016)032