N= 1 domain wall solutions of massive type II supergravity as generalized geometries | Zendy

Jan Louis | Zendy; Silvia Vaulà | Zendy

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N= 1 domain wall solutions of massive type II supergravity as generalized geometries

Author(s) -

Jan Louis,

Silvia Vaulà

Publication year - 2006

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 - 10.1088/1126-6708/2006/08/058

Subject(s) - supergravity , compactification (mathematics) , physics , fibered knot , manifold (fluid mechanics) , scalar (mathematics) , mathematical physics , flow (mathematics) , type (biology) , classical mechanics , mathematical analysis , geometry , pure mathematics , supersymmetry , mathematics , mechanics , geology , mechanical engineering , paleontology , engineering

We study N=1 domain wall solutions of type IIB supergravity compactified on aCalabi-Yau manifold in the presence of RR and NS electric and magnetic fluxes.We show that the dynamics of the scalar fields along the direction transverseto the domain wall is described by gradient flow equations controlled by asuperpotential W. We then provide a geometrical interpretation of the gradientflow equations in terms of the mirror symmetric compactification of type IIA.They correspond to a set of generalized Hitchin flow equations of a manifoldwith SU(3)xSU(3)structure which is fibered over the direction transverse to thedomain wall.Comment: 28 pages, LaTe

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