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Topology change in commuting saddles of thermal N = 4 SYM theory / Umut Gürsoy; Sean A Hartnoll; Timothy Hollowood; Prem Kumar

Journal of High Energy Physics, Volume: 2007, Issue: 11, Pages: 020 - 020

Swansea University Authors: Timothy, Hollowood, Prem, Kumar

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DOI (Published version): 10.1088/1126-6708/2007/11/020

Abstract

We study the large N saddle points of weakly coupled N = 4 super Yang- Mills theory on S1 × S3 that are described by a commuting matrix model for the seven scalar fields {A0,ΦJ}. We show that at temperatures below the Hagedorn/‘deconfinement’ transition the joint eigenvalue distribution is S1 × S5....

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Published in: Journal of High Energy Physics
Published: 2007
URI: https://cronfa.swan.ac.uk/Record/cronfa16152
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Abstract: We study the large N saddle points of weakly coupled N = 4 super Yang- Mills theory on S1 × S3 that are described by a commuting matrix model for the seven scalar fields {A0,ΦJ}. We show that at temperatures below the Hagedorn/‘deconfinement’ transition the joint eigenvalue distribution is S1 × S5. At high temperatures T ≫ 1/RS3, the eigenvalues form an ellipsoid with topology S6. We show how the deconfinement transition realises the topology change S1 × S5 → S6. Furthermore, we find compelling evidence that when the temperature is increased to T = 1/(√λRS3 ) the saddle with S6 topology changes continuously to one with S5 topology in a new second order quantum phase transition occurring in these saddles.
College: College of Science
Issue: 11
Start Page: 020
End Page: 020