https://doi.org/10.1140/epjp/i2014-14139-6
Regular Article
Superstring symmetries and space-time dimensionality
V. A. Steklov Mathematical Institute, Russian Academy of Sciences, Ulitsa Gubkina 8, 119991, Moscow, Russia
* e-mail: mdp30@cam.ac.uk
Received:
3
January
2014
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
