ISSN:
1573-0530
Keywords:
22E45
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract It has been established that the covering group of the Lorentz group in the dimensions D=3, 4, 6 and 10, can be expressed in a unified way, based on the four composition-division algebras ℝ, ℂ, ℚ and $$\mathbb{O}$$ . If the division algebras in the construction of the covering groups of the Lorentz groups in D=3, 4, 6 and 10 are replaced by the split composition algebras, then the sequence of groups $$\widetilde{{\text{SO}}}{\text{(2,2)}}$$ , $$\widetilde{{\text{SO}}}{\text{(3,3)}}$$ and $$\widetilde{{\text{SO}}}{\text{(5,5)}}$$ results. Classical superstrings embedded in such spacetimes can be defined, and the split composition algebras provide a natural framework for their description.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00402262
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