Superconformal field theories for compact manifolds with Spin(7) holonomy | Zendy

Ralph Blumenhagen | Zendy; Volker Braun | Zendy

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Superconformal field theories for compact manifolds with Spin(7) holonomy

Author(s) -

Ralph Blumenhagen,

Volker Braun

Publication year - 2001

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 - 10.1088/1126-6708/2001/12/013

Subject(s) - holonomy , realization (probability) , holomorphic function , spin (aerodynamics) , anomaly (physics) , quotient , field (mathematics) , theoretical physics , pure mathematics , field theory (psychology) , physics , mathematics , mathematical physics , quantum mechanics , statistics , thermodynamics

We present a construction of superconformal field theories for manifolds withSpin(7) holonomy. Geometrically these models correspond to the realization ofSpin(7) manifolds as anti-holomorphic quotients of Calabi-Yau fourfolds.Describing the fourfolds as Gepner models and requiring anomaly cancellation wedetermine the resulting Betti numbers of the Spin(7) superconformal fieldtheory. As in the G_2 case, we find that the Gepner model and the geometricresult disagree.Comment: 16 pages, TeX, harvmac, refs. adde

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