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Foliations in supergravity

Published online by Cambridge University Press:  17 February 2009

Wai Kin Chan ,
Reynaldo Castillo  and
King Fai Lai
Wai Kin Chan
Affiliation:
Department of Computing and Information Systems, University of Western Sydney, Campbelltown, New South Wales 2560, Australia.
Reynaldo Castillo
Affiliation:
Department of Computing and Information Systems, University of Western Sydney, Campbelltown, New South Wales 2560, Australia.
King Fai Lai
Affiliation:
School of Mathematics, University of Sydney, New South Wales 2000, Australia.
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Abstract

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Following upon a previous paper [1] on the existence of chiral transformations in a foliated version of the Cremmer, Julia and Scherk model, we deduce a couple of interesting properties of the model. These are:

(i) TM4 is isomorphic to a quotient Lie pseudoalgebra on the algebra of basic functions in M11;

(ii) There is a locally trivial fibration which exhibits M11 as M7 × U, U ⊂ W and W is the basic manifold of the foliation [5]

(iii) The chiral group of the model is identified as Clx (L, gL) × Clx (Q, gQ), the factors are respectively the multiplication groups of units in the Clifford algebras Clx (L, gL) and Clx (Q, gQ) and matching of this group with phenomenology is briefly discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 41 , Issue 2 , October 1999 , pp. 161 - 166
Copyright
Copyright © Australian Mathematical Society 1999

References

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