Physics and Astronomy
Using split‐quaternions, we find explicit SDYM SU(1,1) instanton solutions in S2- × 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 S2- × S2+ can be described as simple split-quaternionic 2-forms.
AIP Conference Proceedings
Maung, K. M.
(2007). Split Quaterionic Representation of SDYM (SU(1,1) Instantons in S2- × S2+. AIP Conference Proceedings, 892(1), 1-13.
Available at: https://aquila.usm.edu/fac_pubs/16221