Superstring symmetries and space-time dimensionality
V. A. Steklov Mathematical Institute, Russian Academy of Sciences, Ulitsa Gubkina 8, 119991, Moscow, Russia
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Revised: 4 April 2014
Accepted: 21 April 2014
Published online: 27 June 2014
The value of the dimensionality of the physical space-time can be determined by the application of continuous and discrete symmetry principles to both the -dimensional effective action and the two-dimensional world-sheet action S 2 of the heterotic superstring theory. In particular, for a background Friedmann space-time generated by stringy matter with the equation of state , we show here that the world sheet is only supersymmetric, and only invariant under the time-reversal operator T, if . This is the condition that is invariant under T, and also for the realization of the non-linear global supersymmetry due to Volkov and Akulov.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2014