Split Quaterionic Representation of SDYM (SU(1,1) Instantons in S^2- × S²⁺

Authors

Sungwook Lee, University of Southern MississippiFollow
Khin Maung Maung, University of Southern MississippiFollow

Document Type

Article

Publication Date

3-21-2007

Department

Physics and Astronomy

Abstract

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.

Comments

Publisher's Version

Publication Title

AIP Conference Proceedings

Volume

892

Issue

1

First Page

1

Last Page

13

Recommended Citation

Lee, S., Maung, K. M. (2007). Split Quaterionic Representation of SDYM (SU(1,1) Instantons in S^2- × S²⁺. AIP Conference Proceedings, 892(1), 1-13.
Available at: https://aquila.usm.edu/fac_pubs/16221