Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds

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 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...

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Main Authors: Gukov, S, Sparks, J, Tong, D
Format: Journal article
Language:English
Published: 2003
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author Gukov, S
Sparks, J
Tong, D
author_facet Gukov, S
Sparks, J
Tong, D
author_sort Gukov, S
collection OXFORD
description 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 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.
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spelling oxford-uuid:035333ea-36a3-4c5c-b90f-86577a1a33d52022-03-26T08:45:28ZConifold transitions and five-brane condensation in M-theory on Spin(7) manifoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:035333ea-36a3-4c5c-b90f-86577a1a33d5EnglishSymplectic Elements at Oxford2003Gukov, SSparks, JTong, DWe conjecture a topology-changing transition in M-theory on a non-compact asymptotically conical Spin(7) manifold, where a 5-sphere collapses and a 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.
spellingShingle Gukov, S
Sparks, J
Tong, D
Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds
title Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds
title_full Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds
title_fullStr Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds
title_full_unstemmed Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds
title_short Conifold transitions and five-brane condensation in M-theory on Spin(7) manifolds
title_sort conifold transitions and five brane condensation in m theory on spin 7 manifolds
work_keys_str_mv AT gukovs conifoldtransitionsandfivebranecondensationinmtheoryonspin7manifolds
AT sparksj conifoldtransitionsandfivebranecondensationinmtheoryonspin7manifolds
AT tongd conifoldtransitionsandfivebranecondensationinmtheoryonspin7manifolds