q-Epsilon tensor for quantum and braided spaces

Details q-Epsilon tensor for quantum and braided spaces q-Epsilon tensor for quantum and braided spaces

1994-06-23

arxiv.org/abs/hep-th/9406157v2

J.Math.Phys. 36 (1995) 1991-2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, substantative revision - decided to include material on Hodge * operator previously omitted. Added a figure

Scientific paper

10.1063/1.531098

The machinery of braided geometry introduced previously is used now to construct the $\epsilon$ `totally antisymmetric tensor' on a general braided vector space determined by R-matrices. This includes natural $q$-Euclidean and $q$-Minkowski spaces. The formalism is completely covariant under the corresponding quantum group such as $\widetilde{SO_q(4)}$ or $\widetilde{SO_q(1,3)}$. The Hodge $*$ operator and differentials are also constructed in this approach.

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