Hidden Symmetries of M-Theory and Its Dynamical Realization

@article{Nurmagambetov2008HiddenSO,
  title={Hidden Symmetries of M-Theory and Its Dynamical Realization},
  author={Alexei J. Nurmagambetov},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2008},
  volume={4},
  pages={022}
}
  • A. Nurmagambetov
  • Published 19 February 2008
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
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 pre- served. 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… 
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References

SHOWING 1-10 OF 53 REFERENCES

Duality-Symmetric Gravity and Supergravity: Testing the PST approach

Drawing an analogy between gravity dynamical equation of mo- tion and that of Maxwell electrodynamics with an electric source we outline a way of appearance of a dual to graviton field. We propose a…

Duality in linearized gravity

We show that duality transformations of linearized gravity in four dimensions, i.e., rotations of the linearized Riemann tensor and its dual into each other, can be extended to the dynamical fields…

Duality-Symmetric Approach to General Relativity and Supergravity

We review the application of a duality-symmetric approach to gravity and supergravity with emphasizing benefits and disadvantages of the formulation. Contents of these notes includes: 1) Introduction…

Duality symmetric actions with manifest space-time symmetries.

The manifest Lorentz- and general coordinate-invariant formulation of the models is achieved by coupling dual gauge fields to an auxiliary vector field from an axionic sector of the theory.

Spacelike Singularities and Hidden Symmetries of Gravity

It is shown that in this limit the gravitational theory can be reformulated in terms of billiard motion in a region of hyperbolic space, revealing that the dynamics is completely determined by a (possibly infinite) sequence of reflections, which are elements of a Lorentzian Coxeter group.

Coset symmetries in dimensionally reduced bosonic string theory

Symmetries, singularities and the de-emergence of space

Recent work has revealed intriguing connections between a Belinsky–Khalatnikov–Lifshitz-type analysis of spacelike singularities in general relativity and certain infinite-dimensional Lie algebras,…

ON E(11) OF M-THEORY: 1. HIDDEN SYMMETRIES OF MAXIMAL SUPERGRAVITIES AND LEGO OF DYNKIN DIAGRAMS

th in physics of strong interactions, when the study of hidden symmetries was very efficient in classifying various resonances. It resulted in the QCD foundation in the end, with the well-defined…

World volume action of the M theory five-brane

Covariant Action for the Super-Five-Brane of M Theory

We propose a complete, d=6 covariant and kappa-symmetric, action for the M theory five-brane propagating in D=11 supergravity background. This opens a direct way of relating a wide class of super-p…
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