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Superconformal Field Theories for Compact Manifolds with Spin(7) Holonomy

Ralph Blumenhagen·Volker Braun
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Abstract

We present a construction of superconformal field theories for manifolds with Spin(7) holonomy. Geometrically these models correspond to the realization of Spin(7) manifolds as anti-holomorphic quotients of Calabi-Yau fourfolds. Describing the fourfolds as Gepner models and requiring anomaly cancellation we determine the resulting Betti numbers of the Spin(7) superconformal field theory. As in the G_2 case, we find that the Gepner model and the geometric result disagree.

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Ralph Blumenhagen, Volker Braun. 2001-11-23. Superconformal Field Theories for Compact Manifolds with Spin(7) Holonomy. https://doi.org/10.1088/1126-6708%2F2001%2F12%2F013

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