Quantum group gauge theory on quantum spaces

  title={Quantum group gauge theory on quantum spaces},
  author={Tomasz Brzezinski and Shahn Majid},
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 SUq(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… CONTINUE READING
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