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Title: Split-quaternionic representation of SDYM SU(1,1) instantons in S{sub -}{sup 2} x S{sub +}{sup 2}

Abstract

Using split-quaternions, we find explicit SDYM SU(1,1) instanton solutions in S{sub -}{sup 2} x S{sub +}{sup 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{sub -}{sup 2} x S{sub +}{sup 2} can be described as simple split-quaternionic 2-forms.

Authors:
 [1];  [2]
  1. Department of Mathematics, University of Southern Mississippi, Hattiesburg, MS 39406 (United States)
  2. Department of Physics and Astronomy, University of Southern Mississippi, Hattiesburg, MS 39406 (United States)
Publication Date:
OSTI Identifier:
21056807
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 892; Journal Issue: 1; Conference: QCHS7: 7. conference on quark confinement and the hadron spectrum, Ponta Delgada, Acores (Portugal), 2-7 Sep 2006; Other Information: DOI: 10.1063/1.2714371; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPACTIFICATION; CONFORMAL INVARIANCE; EUCLIDEAN SPACE; GAUGE INVARIANCE; INSTANTONS; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SPACE-TIME; SU GROUPS; YANG-MILLS THEORY

Citation Formats

Lee, Sungwook, and Maung, Khin Maung. Split-quaternionic representation of SDYM SU(1,1) instantons in S{sub -}{sup 2} x S{sub +}{sup 2}. United States: N. p., 2007. Web. doi:10.1063/1.2714371.
Lee, Sungwook, & Maung, Khin Maung. Split-quaternionic representation of SDYM SU(1,1) instantons in S{sub -}{sup 2} x S{sub +}{sup 2}. United States. doi:10.1063/1.2714371.
Lee, Sungwook, and Maung, Khin Maung. Tue . "Split-quaternionic representation of SDYM SU(1,1) instantons in S{sub -}{sup 2} x S{sub +}{sup 2}". United States. doi:10.1063/1.2714371.
@article{osti_21056807,
title = {Split-quaternionic representation of SDYM SU(1,1) instantons in S{sub -}{sup 2} x S{sub +}{sup 2}},
author = {Lee, Sungwook and Maung, Khin Maung},
abstractNote = {Using split-quaternions, we find explicit SDYM SU(1,1) instanton solutions in S{sub -}{sup 2} x S{sub +}{sup 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{sub -}{sup 2} x S{sub +}{sup 2} can be described as simple split-quaternionic 2-forms.},
doi = {10.1063/1.2714371},
journal = {AIP Conference Proceedings},
number = 1,
volume = 892,
place = {United States},
year = {Tue Feb 27 00:00:00 EST 2007},
month = {Tue Feb 27 00:00:00 EST 2007}
}