English
 
User Manual Privacy Policy Disclaimer Contact us
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Constraints and the E10 coset model

MPS-Authors

Kleinschmidt,  Axel
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons20713

Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

Locator
There are no locators available
Fulltext (public)

cqg7_23_025.pdf
(Publisher version), 330KB

0709.2691v1.pdf
(Preprint), 263KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Damour, T., Kleinschmidt, A., & Nicolai, H. (2007). Constraints and the E10 coset model. Classical and Quantum Gravity, 24(23), 6097-6120. doi:10.1088/0264-9381/24/23/025.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-4758-2
Abstract
We continue the study of the one-dimensional E10 coset model (massless spinning particle motion on E10/K(E10) whose dynamics at low levels is known to coincide with the equations of motion of maximal supergravity theories in appropriate truncations. We show that the coset dynamics (truncated at levels less or equal to three) can be consistently restricted by requiring the vanishing of a set of constraints which are in one-to-one correspondence with the canonical constraints of supergravity. Hence, the resulting constrained sigma-model dynamics captures the full (constrained) supergravity dynamics in this truncation. Remarkably, the bosonic constraints are found to be expressible in a Sugawara-like (current x current) form in terms of the conserved E10 Noether current, and transform covariantly under an upper parabolic subgroup E10+ of E10. We discuss the possible implications of this result, and in particular exhibit a tantalising link with the usual affine Sugawara construction in the truncation of E10 to its affine subgroup E9.