Solution of Self-Duality Equation in Quantum-Group Gauge Theory and Quantum Harmonics

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dc.creatorZupnik, B. M.
dc.date1994-11-24
dc.date1994-12-02
dc.date.accessioned2026-07-07T09:03:51Z
dc.date.available2026-07-07T09:03:51Z
dc.descriptionWe discuss the gauge theory for quantum group $SU_q (2)\times U(1) $ on the quantum Euclidean space. This theory contains three physical gauge fields and one$\; U(1)-$gauge field with a zero field strength. We construct the quantum-group self-duality equation (QGSDE) in terms of differential forms and with the help of the field-strength decomposition. A deformed analog of the BPST-instanton solution is obtained. We consider a harmonic (twistor) interpretation of QGSDE in terms of $SU_q (2)/U(1) $ quantum harmonics. The quantum harmonic gauge equations are formulated in the framework of a left-covariant 3D differential calculus on the quantum group $SU_q (2)$.
dc.description1+7 pages, LATEX , minor correction of the 1-st version
dc.identifierhttps://arxiv.org/abs/hep-th/9411186
dc.identifierhttp://arxiv.org/abs/hep-th/9411186
dc.identifierJETP Lett. 61 (1995) 443-447; Pisma Zh.Eksp.Teor.Fiz. 61 (1995) 434-438
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/149166
dc.subjectHigh Energy Physics - Theory
dc.titleSolution of Self-Duality Equation in Quantum-Group Gauge Theory and Quantum Harmonics
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