Differential Calculus on the Quantum Sphere and Deformed Self-Duality Equation

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dc.creatorZupnik, B. M.
dc.date1994-12-22
dc.date.accessioned2026-07-07T09:16:26Z
dc.date.available2026-07-07T09:16:26Z
dc.descriptionWe discuss the left-covariant 3-dimensional differential calculus on the quantum sphere $SU_q (2)/U(1) $. The $SU_q (2)$-spinor harmonics are treated as coordinates of the quantum sphere. We consider the gauge theory for the quantum group $SU_q (2)\times U(1) $ on the deformed Euclidean space $E_q (4)$. A $q$-generalization of the harmonic-gauge-field formalism is suggested . This formalism is applied for the harmonic (twistor) interpretation of the quantum-group self-duality equation (QGSDE). We consider the zero-curvature representation and the general construction of QGSDE-solutions in terms of the analytic prepotential.
dc.description1+10 pages, LATEX
dc.identifierhttps://arxiv.org/abs/q-alg/9412010
dc.identifierhttp://arxiv.org/abs/q-alg/9412010
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153353
dc.subjectQuantum Algebra
dc.titleDifferential Calculus on the Quantum Sphere and Deformed Self-Duality Equation
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