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Nontrivial RR two‐form field strength and SU(3)‐structure
Author(s) -
Kaste P.,
Minasian R.,
Petrini M.,
Tomasiello A.
Publication year - 2003
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.200310095
Subject(s) - dilaton , torsion (gastropod) , spinor , magnetic monopole , physics , mathematical physics , field strength , dimensional reduction , killing spinor , pure mathematics , supersymmetry , supergravity , theoretical physics , mathematics , quantum mechanics , magnetic field , medicine , surgery
We discuss how in the presence of a nontrivial RR two‐form field strength and nontrivial dilaton the conditions of preserving supersymmetry on six‐dimensional manifolds lead to generalized monopole and Killing spinor equations. We construct an SU(3)‐structure on these manifolds and give the explicit expression of its intrinsic torsion in terms of the RR two‐form field strength and dilaton. We show that the manifold is Kähler if F (1,1) = 0.