Посилання:Hidden Symmetries of M-Theory and Its Dynamical Realization / A.J. Nurmagambetov // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 47 назв. — англ.
Підтримка:This paper is a contribution to the Proceedings of the Seventh International Conference “Symmetry in Nonlinear Mathematical Physics” (June 24–30, 2007, Kyiv, Ukraine). Discussions with Igor Bandos, Martin Cederwall, Vladimir Lyakhovsky, Dmitri Sorokin, Kellog Stelle, Mikhail Vasiliev, Dmitri Vassilevich, Yuri Zinoviev are kindly acknowledged. Work supported in part by the INTAS grant #05-1000008-7928.
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.