The Unifying superalgebra OSp(1|32)
Jun, 200013 pages
Contribution to:
e-Print:
- hep-th/0010194 [hep-th]
Report number:
- KUL-TF-2000-22,
- UG-00-13
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Abstract:
We show how OSp(1|32) gives a unifying framework to describe d=10 type II string theories, d=11 M-theory and d=12 F-theory. The theories are related by different identifications of their symmetry operators as generators of OSp(1|32). T- and S-dualities are recognized as redefinitions of generators. Some (s,t) signatures of spacetime allow reality conditions on the generators. All those that allow a real structure are related again by redefinitions within the algebra, due to the fact that the algebra OSp(1|32) has only one real realization. The redefinitions include space/space, time/time and space/time dualities. A further distinction between the theories is made by the identification of the translation generator. This distinguishes various versions of type II string theories, in particular the so-called *-theories, characterized by the fact that the P_0 generator is not the (unique) positive-definite energy operator in the algebra.- talk: Moscow 2000/06/05
- algebra: OSp(1/32)
- supersymmetry: algebra
- string model
- dimension: 10
- M-theory
- dimension: 11
- F-theory
- dimension: 12
- dimensional reduction
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