Split-quaternionic representation of SDYM SU(1,1) instantons in S[sub −][sup 2] × S[sub +][sup 2]
Year: 2007
Type: conference-paper
Abstract: Using split‐quaternions, we find explicit SDYM SU(1,1) instanton solutions in S−2 × S+2 which is the conformal compactification of the semi‐Euclidean 4‐spacetime R2+2 of split‐signature (−,−,+,+). It is also shown that SDYM and ASDYM fields in S−2 × S+2 can be described as simple split‐quaternionic 2‐forms.
Source: AIP conference proceedings
DOI: 10.1063/1.2714371
Authors: Sungwook Lee, Khin Maung Maung
Institution: University of Southern Mississippi
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W1579217657
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