Gukov, Sergei and Sparks, James and Tong, David (2003) Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds. Classical and Quantum Gravity, 20 (4). pp. 665-705. ISSN 0264-9381. http://resolver.caltech.edu/CaltechAUTHORS:GUKcqg03
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We conjecture a topology-changing transition in M-theory on a non-compact asymptotically conical Spin(7) manifold, where a 5-sphere collapses and a Bbb CP2 bolt grows. We argue that the transition may be understood as the condensation of M5-branes wrapping S5. Upon reduction to ten dimensions, it has a physical interpretation as a transition of D6-branes lying on calibrated submanifolds of flat space. In yet another guise, it may be seen as a geometric transition between two phases of type IIA string theory on a G2 holonomy manifold with either wrapped D6-branes, or background Ramond–Ramond flux. This is the first non-trivial example of a topology-changing transition with only 1/16 supersymmetry.
|Additional Information:||© Institute of Physics 2003 Received 23 September 2002, in final form 6 January 2003, Published 28 January 2003, Print publication: Issue 4 (21 February 2003) We wish to thank Roman Jackiw, Neil Lambert, Igor Polyubin, Ashoke Sen, Andrew Strominger, Jan Troost, Cumrun Vafa,Ashvin Vishwanath, Eric Zaslow and especially Bobby Acharya and Edward Witten for useful discussions. SG and DT would also like to thank the Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, and SG would further like to thank the New High Energy Theory Center at Rutgers University for kind hospitality during the course of this work. This research was conducted during the period SG served as a Clay Mathematics Institute Long-Term Prize Fellow. The work of SG is also supported in part by grant RFBR no 01-02-17488, and the Russian President’s grant no 00-15-99296. DT is a Pappalardo fellow and is grateful to the Pappalardo family for their kind support. The work of DT is also supported in part by funds provided by the US Department of Energy (DOE) under cooperative research agreement no DF-FC02-94ER40818.|
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