Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories | Zendy

Igor Schnakenburg | Zendy; Peter West | Zendy

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Kac-Moody Symmetries of Ten-dimensional Non-maximal Supergravity Theories

Author(s) -

Igor Schnakenburg,

Peter West

Publication year - 2004

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2004/05/019

Subject(s) - supergravity , homogeneous space , abelian group , physics , algebra over a field , rank (graph theory) , gauge theory , invariant (physics) , field (mathematics) , mathematics , pure mathematics , mathematical physics , supersymmetry , combinatorics , geometry

A description of the bosonic sector of ten-dimensional N=1 supergravity as anon-linear realisation is given. We show that if a suitable extension of thistheory were invariant under a Kac-Moody algebra, then this algebra would haveto contain a rank eleven Kac-Moody algebra, that can be identified to be aparticular real form of very-extended D_8. We also describe the extension ofN=1 supergravity coupled to an abelian vector gauge field as a non-linearrealisation, and find the Kac-Moody algebra governing the symmetries of thistheory to be very-extended B_8. Finally, we discuss the related points for theN=1 supergravity coupled to an arbitrary number of abelian vector gauge fields

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