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- <H1>High Energy Physics - Theory, abstract<BR>
- hep-th/9309030</H1>
- <PRE>
- From: Martin Cederwall <<A HREF="mailto:tfemc@fy.chalmers.se">tfemc@fy.chalmers.se</A>>
- Date: Mon, 6 Sep 93 11:38:03 +0200
- Date (revised): Mon, 6 Sep 93 12:43:17 +0200
- </PRE>
- <H2>"The Seven-sphere and its Kac-Moody Algebra'' by Martin Cederwall and
- Christian R. Preitschopf, 22 pages, report no. Goeteborg-ITP-93-34, August
- 1993. Macropackages used: phyzzx, epsf. Three epsf figure files appended.
- </H2>
- <P>
- <B>Journal-ref:</B> Commun. Math. Phys. 167 (1995) 373-394<BR>
- <BLOCKQUOTE>
- Abstract: We investigate the seven-sphere as a group-like manifold and
- its extension to a Kac-Moody-like algebra. Covariance properties
- and tensorial composition of spinors under $S^7$ are defined.
- The relation to Malcev algebras is
- established. The consequences for octonionic projective spaces
- are examined.
- Current algebras are formulated and their anomalies are derived, and
- shown to be unique (even regarding numerical coefficients)
- <BR>up to redefinitions of the currents.
- Nilpotency of the BRST operator is consistent with one particular expression
- in the class of (field-dependent) anomalies. A Sugawara construction is
- given.
- </BLOCKQUOTE>
- </P>
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