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Kac-Moody and Borcherds symmetries of six-dimensional chiral supergravity

par Henneaux, Marc ;Lekeu, Victor
Référence Journal of High Energy Physics, 2015, 03, page (1-28), 056
Publication Publié, 2015-03-11

Article révisé par les pairs

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Résumé :

Abstract: We investigate the conjectured infinite-dimensional hidden symmetries of six-dimensional chiral supergravity coupled to two vector multiplets and two tensor multiplets, which is known to possess the F4,4 symmetry upon dimensional reduction to three spacetime dimensions. Two things are done. (i) First, we analyze the geodesic equations on the coset space F4,4+ +/K(F4,4+ +) using the level decomposition associated with the subalgebra (Formula Presented.) of F4,4+ + and show their equivalence with the bosonic equations of motion of six-dimensional chiral supergravity up to the level where the dual graviton appears. In particular, the self-duality condition on the chiral 2-form is automatically implemented in the sense that no dual potential appears for that 2-form, in contradistinction with what occurs for the non chiral p-forms. (ii) Second, we describe the p-form hierarchy of the model in terms of its V-duality Borcherds superalgebra, of which we compute the Cartan matrix.