Non-commutative Lorentz symmetry and the origin of the Seiberg–Witten map
Abstract
We show that the non-commutative Yang–Mills field forms an irreducible representation of the (undeformed) Lie algebra of rigid translations, rotations and dilatations. The non-commutative Yang–Mills action is invariant under combined conformal transformations of the Yang–Mills field and of the non-commutativity parameter
- Publication:
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European Physical Journal C
- Pub Date:
- May 2002
- DOI:
- arXiv:
- arXiv:hep-th/0108045
- Bibcode:
- 2002EPJC...24..165B
- Keywords:
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- Differential Equation;
- Irreducible Representation;
- Conformal Transformation;
- Lorentz Symmetry;
- Mill Action;
- High Energy Physics - Theory
- E-Print:
- 20 pages, LaTeX. v2: Streamlined proofs and extended discussion of Lorentz transformations