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VOLUME 61 (1995) | ISSUE 6 | PAGE 434
Solution of self-duality equation in quantum-group gauge theory
A gauge theory for the quantum group SUq{2) X U{ 1) on the quantum Euclidean space is discussed. 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. The possibility of a harmonic (twistor) interpretation of QGSDE in terms of quantum harmonics is considered. © 1995 American Institute of Physics.