Hidden Borcherds symmetries in Z_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds Export

@misc{citeulike:768557, abstract = {We study T^{11-D-q}xT^q/Z\_n orbifold compactifications of 11D supergravity and M-theory by a purely algebraic method. Using the mapping between scalar fields of toroidally compactified maximal supergravity and generators of the U-duality symmetry, we express the orbifold action as a finite order inner automorphism and compute the residual real U-duality algebra surviving the orbifold projection for all dimensions D=1,...,10-q. In D=1, these invariant subalgebras are shown to be described by Borcherds and Kac-Moody algebras with a degnerate Cartan matrix, modded out by their centres and derivations. We further construct an alternative description of the orbifold action in terms of equivalence classes of shift vectors, finding that a root of e\_{10} can always be chosen as the class representative in D=1. In the case of Z\_2 orbifolds of M-theory descending to type 0' orientifolds, we argue that these roots can be interpreted as pairs of magnetized D9- and D9'-branes ensuring tadpole cancellation. More generally, we provide a classification of all such roots generating Z\_n product orbifolds for n\<7.}, archivePrefix = {arXiv}, author = {Bagnoud, Maxime and Carlevaro, Luca}, citeulike-article-id = {768557}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0607136}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0607136}, day = {20}, eprint = {hep-th/0607136}, keywords = {borcherd, e10, e11, kac-moody, monster, symmetry}, month = {Jul}, posted-at = {2006-07-21 17:21:56}, priority = {3}, title = {Hidden Borcherds symmetries in Z\_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds}, url = {http://arxiv.org/abs/hep-th/0607136}, year = {2006} }

TY - ELEC ID - citeulike:768557 L3 - citeulike-article-id:768557 N2 - We study T^{11-D-q}xT^q/Z_n orbifold compactifications of 11D supergravity and M-theory by a purely algebraic method. Using the mapping between scalar fields of toroidally compactified maximal supergravity and generators of the U-duality symmetry, we express the orbifold action as a finite order inner automorphism and compute the residual real U-duality algebra surviving the orbifold projection for all dimensions D=1,...,10-q. In D=1, these invariant subalgebras are shown to be described by Borcherds and Kac-Moody algebras with a degnerate Cartan matrix, modded out by their centres and derivations. We further construct an alternative description of the orbifold action in terms of equivalence classes of shift vectors, finding that a root of e_{10} can always be chosen as the class representative in D=1. In the case of Z_2 orbifolds of M-theory descending to type 0' orientifolds, we argue that these roots can be interpreted as pairs of magnetized D9- and D9'-branes ensuring tadpole cancellation. More generally, we provide a classification of all such roots generating Z_n product orbifolds for n<7. TI - Hidden Borcherds symmetries in Z_n orbifolds of M-theory and magnetized D-branes in type 0' orientifolds KW - borcherd KW - e10 KW - e11 KW - kac-moody KW - monster KW - symmetry AU - Bagnoud, Maxime AU - Carlevaro, Luca PY - 2006/Jul/20/ UR - http://arxiv.org/abs/hep-th/0607136 ER -