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VOLUME 61 (1995) | ISSUE 6 | PAGE 434
Solution of self-duality equation in quantum-group Gauge theory
We discuss a gauge theory for the quantum group SUq(2) X 17(1) on the quantum Euclidean space. This theory contains three physical gauge fields and one U(\)-gauge field with а «его 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 analogue of the BPST-instanton solution is obtained. We consider the possibility of a harmonic (twistor) interpretation of QGSDE in terms of quantum harmonics.