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SIGMA 4 (2008), 022, 18 pages arXiv:0802.2638
https://doi.org/10.3842/SIGMA.2008.022
Contribution to the Proceedings of the Seventh International Conference Symmetry in Nonlinear Mathematical Physics
Hidden Symmetries of M-Theory and Its Dynamical Realization
Alexei J. Nurmagambetov
A.I. Akhiezer Institute for Theoretical Physics, NSC ''Kharkov Institute of Physics and Technology'', 1
Akademicheskaya Str., 61108 Kharkiv, Ukraine
Received October 31, 2007, in final form February 06, 2008; Published online February 19, 2008
Abstract
We discuss hidden symmetries of M-theory, its feedback
on the construction of the M-theory effective action, and a
response of the effective action when locality is preserved. In
particular, the locality of special symmetries of the
duality-symmetric linearized gravity constraints the index
structure of the dual to graviton field in the same manner as it
is required to separate the levels 0 and 1 generators subalgebra
from the infinite-dimensional hidden symmetry algebra of
gravitational theory. This conclusion fails once matter fields
are taken into account and we give arguments for that. We end up
outlining current problems and development perspectives.
Key words:
duality; gravity; supergravity.
pdf (404 kb)
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