Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories
نویسندگان
چکیده
منابع مشابه
Five-dimensional Supergravity and Hyperbolic Kac-moody
Motivated by the recent analysis of the E10 sigma model for the study of M theory, we study a one-dimensional sigma model associated with the hyperbolic Kac-Moody algebra G2 and its link to D = 5, N = 2 pure supergravity, which closely resembles in many ways D = 11 supergravity. The bosonic equations of motion and the Bianchi identity for D = 5 pure supergravity match the equations of the level...
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Kac–Moody groups G over R have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms G(Z) are conjecturally U– duality groups. Mathematical descriptions of G(Z), due to Tits, are functorial and not amenable to computation or applications. We construct Kac–Moody groups over R and Z using an analog of Chevalley’s constructions in finite ...
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Abstract. Kac–Moody groups G over R have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms G(Z) are conjecturally U– duality groups. Mathematical descriptions of G(Z), due to Tits, are functorial and not amenable to computation or applications. We construct Kac–Moody groups over R and Z using an analog of Chevalley’s constructions ...
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Kac–Moody groups G over R have been conjectured to occur as symmetry groups of supergravity theories dimensionally reduced to dimensions less than 3, and their integral forms G(Z) conjecturally encode quantized symmetries. In this review paper, we briefly introduce the conjectural symmetries of Kac–Moody groups in supergravity as well as the known evidence for these conjectures. We describe con...
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We study the “fermionic billiards”, i.e. the chaotic dynamics of the gravitino, that arise in the near-spacelike-singularity limit of elevendimensional supergravity and of its dimensional truncations (notably fourdimensional simple supergravity). By exploiting the gravity-coset correspondence, we show that the billiard dynamics of the gravitino is described by a ‘spin extension’ of the E10 Weyl...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2004
ISSN: 1029-8479
DOI: 10.1088/1126-6708/2004/05/019