Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity | Zendy

José D. Edelstein | Zendy; Ángel Paredes | Zendy; Alfonso V. Ramallo | Zendy

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Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity

Author(s) -

José D. Edelstein,

Ángel Paredes,

Alfonso V. Ramallo

Publication year - 2003

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 - 10.1088/1126-6708/2003/01/011

Subject(s) - holonomy , gauged supergravity , supergravity , ansatz , embedding , twist , generalization , physics , mathematical physics , transformation (genetics) , pure mathematics , theoretical physics , mathematics , mathematical analysis , supersymmetry , geometry , computer science , biochemistry , chemistry , artificial intelligence , gene

We construct all complete metrics of cohomogeneity one G(2) holonomy with S^3x S^3 principal orbits from gauged supergravity. Our approach rests on ageneralization of the twisting procedure used in this framework. It correspondsto a non-trivial embedding of the special Lagrangian three-cycle wrapped by theD6-branes in the lower dimensional supergravity. There are constraints thatneatly reduce the general ansatz to a six functions one. Within this approach,the Hitchin system and the flop transformation are nicely realized in eightdimensional gauged supergravity.Comment: 31 pages, latex; v2: minor changes, references adde

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