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Published September 17, 2001 | Submitted
Journal Article Open

Gauge theory at large N and new G₂ holonomy metrics

Abstract

We find a one-parameter family of new G₂ holonomy metrics and demonstrate that it can be extended to a two-parameter family. These metrics play an important role as the supergravity dual of the large N limit of four-dimensional supersymmetric Yang–Mills. We show that these G₂ holonomy metrics describe the M theory lift of the supergravity solution describing a collection of D6-branes wrapping the supersymmetric three-cycle of the deformed conifold geometry for any value of the string coupling constant.

Additional Information

© 2001 Elsevier Science B.V. Received 14 June 2001, Accepted 16 July 2001, Available online 24 September 2001. We are grateful to Michael Atiyah, Vadim Borokhov, Mirjam Cvetic, Igor Klebanov, Chris Pope, and especially Cumrun Vafa and Edward Witten for useful discussions. The work of A. Brandhuber and S. Gubser is supported in part by the DOE under grant No.DE-FG03-92ER40701. The work of J. Gomis is supported in part by the National Science Foundation under grant No. PHY99-07949 and by the DOE under grant No. DE-FG03-92ER40701. The research of S. Gukov is supported in part by the Caltech Discovery Fund, NSF grant No. PHY99-07949, grant RFBR No. 01-01-00549, and the Russian President's grant No. 00-15-99296.

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