Quantum group gauge theory on quantum spaces |
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| Authors: | Thomasz Brzeziński Shahn Majid |
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| Institution: | (1) Department of Applied Mathematics and Theoretical Physics, University of Cambridge, CB3 9EW, U.K.;(2) Present address: Pembroke College, Cambridge |
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| Abstract: | We construct quantum group-valued canonical connections on quantum homogeneous spaces, including aq-deformed Dirac monopole on the quantum sphere of Podles with quantum differential structure coming from the 3D calculus of Woronowicz onSU
q
(2). The construction is presented within the setting of a general theory of quantum principal bundles with quantum group (Hopf algebra) fibre, associated quantum vector bundles and connection one-forms. Both the base space (spacetime) and the total space are non-commutative algebras (quantum spaces).Supported by St. John's College, Cambridge and KBN grant 202189101 |
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