DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY
نویسندگان
چکیده
منابع مشابه
Diagrammatics of Braided Group Gauge Theory
We develop a gauge theory or theory of bundles and connections on them at the level of braids and tangles. Extending recent algebraic work, we provide now a fully diagrammatic treatment of principal bundles, a theory of global gauge transformations, associated braided fiber bundles and covariant derivatives on them. We describe the local structure for a concrete Z3-graded or ‘anyonic’ realizati...
متن کاملSome Remarks on Quantum and Braided Group Gauge Theory
We clarify some aspects of quantum group gauge theory and its recent generalisations (by T. Brzezinski and the author) to braided group gauge theory and coalgebra gauge theory. We outline the diagrammatic version of the braided case. We study the bosonisation of any braided group provides as a trivial principal bundle in three ways.
متن کاملTopology of the Gauge Group in Noncommutative Gauge Theory
I argue that the gauge group of noncommutative gauge theory consists of maps into unitary operators on Hilbert space of the form u = 1+K with K compact. Some implications of this proposal are outlined. Proceedings of Strings 2001
متن کاملA Braided Simplicial Group
By studying the braid group action on Milnor’s construction of the 1-sphere, we show that the general higher homotopy group of the 3-sphere is the fixed set of the pure braid group action on certain combinatorially described group.
متن کاملQuantum braided Poincaré group
A new deformation of the of the Poincaré group and of the Minkowski space-time is given. From the mathematical point of view this deformation is rather quantum-braided group. Global and local structure of this quantumbraided Poincaré group is investigated. A kind of “quantum metrics” is introduced in the q-Minkowski space.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 1999
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s021821659900047x