Quantum group gauge theory on quantum spaces

Details Quantum group gauge theory on quantum spaces Quantum group gauge theory on quantum spaces

1992-08-03

arxiv.org/abs/hep-th/9208007v2

Commun.Math.Phys. 157 (1993) 591-638; Erratum-ibid. 167 (1995) 235

Physics

High Energy Physics

High Energy Physics - Theory

65 pages DAMTP/92-27 Revised to emphasise more the U(1) monopole example -- includes now full details in the 3D differential c

Scientific paper

10.1007/BF02096884

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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