Kaluza-Klein bundles and manifolds of exceptional holonomy | Zendy

Peter Kaste | Zendy; Ruben Minasian | Zendy; Michela Petrini | Zendy; Alessandro Tomasiello | Zendy

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Kaluza-Klein bundles and manifolds of exceptional holonomy

Author(s) -

Peter Kaste,

Ruben Minasian,

Michela Petrini,

Alessandro Tomasiello

Publication year - 2002

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 - 10.1088/1126-6708/2002/09/033

Subject(s) - holonomy , spinor , supersymmetry , physics , magnetic monopole , conformal map , killing spinor , string (physics) , mathematical physics , metric (unit) , lift (data mining) , pure mathematics , theoretical physics , mathematics , mathematical analysis , quantum mechanics , supergravity , computer science , operations management , economics , data mining

We show how in the presence of RR two-form field strength the conditions forpreserving supersymmetry on six- and seven-dimensional manifolds lead tocertain generalizations of monopole equations. For six dimensions the stringframe metric is Kaehler with the complex structure that descends from theoctonions if in addition we assume F^{(1,1)}=0. The susy generator is a gaugecovariantly constant spinor. For seven dimensions the string frame metric isconformal to a G_2 metric if in addition we assume the field strength to obey aselfduality constraint. Solutions to these equations lift to geometries of G_2and Spin(7) holonomy respectively.Comment: LaTeX, 13 page

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