M-theory on Spin(7) manifolds

Creators: Gukov, Sergei; Sparks, James

Abstract

We study M-theory on two classes of manifolds of Spin(7) holonomy that are developing an isolated conical singularity. We construct explicitly a new class of Spin(7) manifolds and analyse in detail the topology of the corresponding classical spacetimes. We discover also an intricate interplay between various anomalies in M-theory, string theory, and gauge theory within these models, and in particular find a connection between half-integral G-fluxes in M-theory and Chern–Simons terms of the N=1, D=3 effective theory.

Additional Information

© 2002 Elsevier B.V. Received 19 November 2001, Accepted 9 January 2002. We wish to thank K. Costello, G. Gibbons, C. Herzog, J. Maldacena, N. Nekrasov, C. Núñez, C. Pope, E. Rabinovici, S. Schafer-Nameki, A. Strominger, C. Vafa, and E. Witten for useful discussions. This research was partially conducted during the period S.G. served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of S.G. is also supported in part by grant RFBR No. 01-02-17488, and the Russian President's grant No. 00-15-99296.

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