Coalgebra Gauge Theory

Details Coalgebra Gauge Theory Coalgebra Gauge Theory

1996-02-12

arxiv.org/abs/q-alg/9602022v1

Commun.Math.Phys. 191 (1998) 467-492

Mathematics

Quantum Algebra

32 pages, LaTeX, uses epsf

Scientific paper

10.1007/s002200050274

We develop a generalised gauge theory in which the role of gauge group is played by a coalgebra and the role of principal bundle by an algebra. The theory provides a unifying point of view which includes quantum group gauge theory, embeddable quantum homogeneous spaces and braided group gauge theory, the latter being introduced now by these means. Examples include ones in which the gauge groups are the braided line and the quantum plane.

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