Lie algebra extensions of current algebras on S3
2015 ◽
Vol 12
(09)
◽
pp. 1550087
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Keyword(s):
An affine Kac–Moody algebra is a central extension of the Lie algebra of smooth mappings from S1 to the complexification of a Lie algebra. In this paper, we shall introduce a central extension of the Lie algebra of smooth mappings from S3 to the quaternization of a Lie algebra and investigate its root space decomposition. We think this extension of current algebra might give a mathematical tool for four-dimensional conformal field theory as Kac–Moody algebras give it for two-dimensional conformal field theory.
1990 ◽
Vol 05
(15)
◽
pp. 2953-2991
◽
Keyword(s):
Keyword(s):
1992 ◽
Vol 07
(05)
◽
pp. 853-876
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2011 ◽
Vol 26
(22)
◽
pp. 1601-1611
◽
Keyword(s):
1991 ◽
Vol 174
(2-3)
◽
pp. 283-292
Keyword(s):
2019 ◽
pp. 248-318
Keyword(s):
Keyword(s):