Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels Export

@article{citeulike:5791434, abstract = {Recently, the concept of a nonlinear sigma-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) `maximal compact subgroup'. Here, we study in detail the one-dimensional (geodesic) sigma-model with G = E10 and H=KE10. We re-examine the construction of this sigma-model and its relation to the bosonic sector of eleven-dimensional supergravity, up to height 30, by using a new formulation of the equations of motion. Specifically, we make systematic use of KE10-orthonormal local frames, in the sense that we decompose the `velocity' on E10/KE10 in terms of objects which are representations of the compact subgroup KE10. This new perspective may help in extending the correspondence between the E10/KE10 sigma-model and supergravity beyond the level currently checked.}, archivePrefix = {arXiv}, author = {Damour, T. and Nicolai, H.}, citeulike-article-id = {5791434}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0410245}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0410245}, day = {12}, eprint = {hep-th/0410245}, keywords = {sugra}, month = {Dec}, posted-at = {2009-09-16 13:22:51}, priority = {2}, title = {Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels}, url = {http://arxiv.org/abs/hep-th/0410245}, year = {2004} }

TY - JOUR ID - citeulike:5791434 L3 - citeulike-article-id:5791434 N2 - Recently, the concept of a nonlinear sigma-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal) `maximal compact subgroup'. Here, we study in detail the one-dimensional (geodesic) sigma-model with G = E10 and H=KE10. We re-examine the construction of this sigma-model and its relation to the bosonic sector of eleven-dimensional supergravity, up to height 30, by using a new formulation of the equations of motion. Specifically, we make systematic use of KE10-orthonormal local frames, in the sense that we decompose the `velocity' on E10/KE10 in terms of objects which are representations of the compact subgroup KE10. This new perspective may help in extending the correspondence between the E10/KE10 sigma-model and supergravity beyond the level currently checked. TI - Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels KW - sugra AU - Damour, T AU - Nicolai, H PY - 2004/Dec/12/ UR - http://arxiv.org/abs/hep-th/0410245 ER -