Symmetries and compactifications of (4,0) conformal gravity | Zendy

C.M. Hull | Zendy

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Symmetries and compactifications of (4,0) conformal gravity

Author(s) -

C.M. Hull

Publication year - 2000

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 - 10.1088/1126-6708/2000/12/007

Subject(s) - duality (order theory) , homogeneous space , physics , torus , conformal map , mathematical physics , einstein , symmetry (geometry) , dimensional reduction , toroid , t duality , theoretical physics , mathematics , pure mathematics , string theory , quantum mechanics , geometry , plasma

The free (4,0) superconformal theory in 6 dimensions and its toroidaldimensional reductions are studied. The reduction to four dimensions on a2-torus has an $SL(2,\Z)$ duality symmetry that acts non-trivially on thelinearised gravity sector, interchanging the linearised Einstein equations andBianchi identities and giving a self-duality between strong and weak couplingregimes. The possibility of this extending to an interacting form of the theoryis discussed and implications for the non-geometric picture of gravity thatcould emerge are considered.Comment: 37 page

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