Symmetries of string, M and F-theories

Abstract

The d=10 type II string theories, d=11 M-theory and d=12 F-theory have the same symmetry group. It can be viewed either as a subgroup of a conformal group OSp(1|64) or as a contraction of OSp(1|32). 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.

contribution to the proceedings of the Gursey Memorial Conference II `M-theory and dualities', Istanbul, June 2000; 13 pages

References in corpus (10)

• Hidden Superconformal Symmetry in M Theory
• Lifting M-theory to Two-Time Physics
• Worldvolume Theories, Holography, Duality and Time
• Two-Time Physics in Field Theory
• The many faces of OSp(1|32)
• Instantons, Euclidean supersymmetry and Wick rotations
• Timelike Hopf Duality and Type IIA^* String Solutions
• Duality and Strings, Space and Time
• The unifying superalgebra OSp(1|32)
• The *Report

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• On the spectrum of AdS/CFT beyond supergravity
• osp(1|32) and Extensions of super-AdS_5 X S^5 algebra
• Supermatrix models for M-theory based on osp(1|32,R)
• All extremal instantons in Einstein-Maxwell-dilaton-axion theory