Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-06-02
JHEP0409:016,2004
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, LaTex
Scientific paper
10.1088/1126-6708/2004/09/016
Relying upon the division-algebra classification of Clifford algebras and spinors, a classification of generalized supersymmetries (or, with a slight abuse of language,"generalized supertranslations") is provided. In each given space-time the maximal, saturated, generalized supersymmetry, compatible with the division-algebra constraint that can be consistently imposed on spinors and on superalgebra generators, is furnished. Constraining the superalgebra generators in both the complex and the quaternionic cases gives rise to the two classes of constrained hermitian and holomorphic generalized supersymmetries. In the complex case these two classes of generalized supersymmetries can be regarded as complementary. The quaternionic holomorphic supersymmetry only exists in certain space-time dimensions and can admit at most a single bosonic scalar central charge. The results here presented pave the way for a better understanding of the various $M$ algebra-type of structures which can be introduced in different space-time signatures and in association with different division algebras, as well as their mutual relations. In a previous work, e.g., the introduction of a complex holomorphic generalized supersymmetry was shown to be necessary in order to perform the analytic continuation of the standard $M$-theory to the 11-dimensional Euclidean space. As an application of the present results, it is shown that the above algebra also admits a 12-dimensional, Euclidean, $F$-algebra presentation.
No associations
LandOfFree
Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hermitian versus holomorphic complex and quaternionic generalized supersymmetries of the M-theory. A classification will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-348623