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Split Quaterionic Representation Of Sdym (Su(1,1) Instantons In S2- × S2+, Sungwook Lee, Khin Maung Maung

Faculty Publications

Using split‐quaternions, we find explicit SDYM SU(1,1) instanton solutions in S^2- × S²⁺ which is the conformal compactification of the semi‐Euclidean 4‐spacetime R²⁺² of split signature (-,-,+,+). It is also shows that SDYM and ASDYM fields in S^2- × S²⁺ can be described as simple split-quaternionic 2-forms.