dorsal/arxiv
View SchemaThe Braided Quantum 2-Sphere
| Authors | Chong-Sun Chu, Pei-Ming Ho, Bruno Zumino |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9507013 |
| URL | https://arxiv.org/abs/q-alg/9507013 |
| DOI | 10.1142/S0217732396000357 |
| Journal | Mod.Phys.Lett. A11 (1996) 307-316 |
Abstract
In a recent paper the quantum 2-sphere $S^2_q$ was described as a quantum complex manifold. Here we consider several copies of $S^2_q$ and derive their braiding commutation relations. The braiding is extended to the differential and to the integral calculus on the spheres. A quantum analogue of the classical anharmonic ratio of four points on the sphere is given, which is invariant under the coaction of $SU_q(2)$.
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"abstract": "In a recent paper the quantum 2-sphere $S^2_q$ was described as a quantum\ncomplex manifold. Here we consider several copies of $S^2_q$ and derive their\nbraiding commutation relations. The braiding is extended to the differential\nand to the integral calculus on the spheres. A quantum analogue of the\nclassical anharmonic ratio of four points on the sphere is given, which is\ninvariant under the coaction of $SU_q(2)$.",
"arxiv_id": "q-alg/9507013",
"authors": [
"Chong-Sun Chu",
"Pei-Ming Ho",
"Bruno Zumino"
],
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"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1142/S0217732396000357",
"journal_ref": "Mod.Phys.Lett. A11 (1996) 307-316",
"title": "The Braided Quantum 2-Sphere",
"url": "https://arxiv.org/abs/q-alg/9507013"
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