The Hagedorn temperature in a decoupled sector of AdS/CFT

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dc.creatorHarmark, Troels
dc.creatorKristjansson, Kristjan R.
dc.creatorOrselli, Marta
dc.date2007-01-10
dc.date2007-12-06
dc.date.accessioned2026-07-07T11:03:06Z
dc.date.available2026-07-07T11:03:06Z
dc.descriptionWe match the Hagedorn/deconfinement temperature of planar N=4 super Yang-Mills (SYM) on R x S^3 to the Hagedorn temperature of string theory on AdS_5 x S^5. The match is done in a near-critical region where both gauge theory and string theory are weakly coupled. On the gauge theory side we are taking a decoupling limit found in hep-th/0605234 in which the physics of planar N=4 SYM is given exactly by the ferromagnetic XXX_{1/2} Heisenberg spin chain. We find moreover a general relation between the Hagedorn/deconfinement temperature and the thermodynamics of the Heisenberg spin chain. On the string theory side, we identify the dual limit which is taken of string theory on a maximally symmetric pp-wave background with a flat direction, obtained from a Penrose limit of AdS_5 x S^5. We compute the Hagedorn temperature of the string theory and find agreement with the Hagedorn/deconfinement temperature computed on the gauge theory side. Finally, we discuss a modified decoupling limit in which planar N=4 SYM reduces to the XXX_{1/2} Heisenberg spin chain with an external magnetic field.
dc.description7 pages. Talk presented by MO at the RTN workshop, Napoli, Oct. 9-13, 2007
dc.identifierhttps://arxiv.org/abs/hep-th/0701088
dc.identifierhttp://arxiv.org/abs/hep-th/0701088
dc.identifierFortsch.Phys.55:754-759,2007
dc.identifierdoi:10.1002/prop.200610360
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/188474
dc.subjectHigh Energy Physics - Theory
dc.titleThe Hagedorn temperature in a decoupled sector of AdS/CFT
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