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arXiv · hep-th/9208007

Quantum group gauge theory on quantum spaces

Tomasz Brzezinski·Shahn Majid
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Abstract

We construct quantum group-valued canonical connections on quantum homogeneous spaces, including a q-deformed Dirac monopole on the quantum sphere of Podles quantum differential coming from the 3-D calculus of Woronowicz on $SU_q(2)$ . The construction is presented within the setting of a general theory of quantum principal bundles with quantum group (Hopf algebra) fiber, associated quantum vector bundles and connection one-forms. Both the base space (spacetime) and the total space are non-commutative algebras (quantum spaces).

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Tomasz Brzezinski, Shahn Majid. 1993-03-26. Quantum group gauge theory on quantum spaces. https://doi.org/10.1007/bf02096884

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