On zero-point energy, stability and Hagedorn behavior of type-IIB strings on pp-waves

Bigazzi, Francesco; Cotrone, Aldo L.

doi:10.1088/1126-6708/2003/08/052

Cited by 30 publications

(51 citation statements)

References 24 publications

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“…This behavior of course occurs in weakly string theory which is a limit of the Mtheory. It there were such a relationship, it would be interesting to ask whether it is related to the formation of black holes in ten dimensional supergravity near a pp-wave background [44,45].…”

Section: Discussionmentioning

confidence: 99%

Matrix Model Thermodynamics

Semenoff¹

2004

Quantum Theory and Symmetries

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Some recent work on the thermodynamic behavior of the matrix model of M-theory on a pp-wave background is reviewed. We examine a weak coupling limit where computations can be done explicitly. In the large N limit, we find a phase transition between two distinct phases which resembles a "confinement-deconfinement" transition in gauge theory and which we speculate must be related to a geometric transition in M-theory. We review arguments that the phase transition is also related to the Hagedorn transition of little string theory in a certain limit of the 5-brane geometry.

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Section: Discussionmentioning

confidence: 99%

Matrix Model Thermodynamics

Semenoff¹

2004

Quantum Theory and Symmetries

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“…However, in certain Penrose limits, where the AdS 5 × S 5 background becomes a maximally supersymmetric pp-wave background [6,12], one can find the string spectrum, and the computation of the Hagedorn temperature has been done [13,14,15,16,17,18,19,20].…”

Section: Introductionmentioning

confidence: 99%

Matching the Hagedorn temperature in AdS/CFT correspondence

Harmark¹,

Orselli²

2006

Phys. Rev. D

157

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We match the Hagedorn/deconfinement temperature of planar N = 4 super Yang-Mills (SYM) on R × S 3 to the Hagedorn temperature of string theory on AdS 5 × S 5 . The match is done in a near-critical region where both gauge theory and string theory are weakly coupled. The near-critical region is near a point with zero temperature and critical chemical potential. 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 and we use this to compute it in two distinct regimes. On the string theory side, we identify the dual limit for which the string tension and string coupling go to zero. This limit is taken of string theory on a maximally supersymmetric pp-wave background with a flat direction, obtained from a Penrose limit of AdS 5 × 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.

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“…[15] for strings on homogeneous plane waves, exhibits no dependence on the deformation [16,17] at all. Consequently, we expect that the high temperature behaviour of an ensemble of strings on this particular deformation of the maximally symmetric pp-wave should be identical to that of homogeneous plane wave strings (see for example [19]). While the Hagedorn behaviour of strings on this particular class of homogeneous plane waves (i.e.…”

Section: A Homogeneous Plane Wave Limitmentioning

confidence: 97%

A note on the universality of the Hagedorn behavior of pp-wave strings

Hamilton

Murugan

Prinsloo

2008

J. High Energy Phys.

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Following on from recent studies of string theory on a one-parameter family of integrable deformations of AdS 5 × S 5 proposed by Lunin and Maldacena, we carry out a systematic analysis of the high temperature properties of type IIB strings on the associated pp-wave geometries. In particular, through the computation of the thermal partition function and free energy we find that not only does the theory exhibit a Hagedorn transition in both the (J, 0, 0) and (J, J, J) class of pp-waves, but that the Hagedorn temperature is insensitive to the deformation suggesting an interesting universality in the high temperature behaviour of the pp-wave string theory. We comment also on the implications of this universality on the confinement/deconfinement transition in the dual N = 1 Leigh-Strassler deformation of N = 4 Yang-Mills theory.

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On zero-point energy, stability and Hagedorn behavior of type-IIB strings on pp-waves

Cited by 30 publications

References 24 publications

Matrix Model Thermodynamics

Matrix Model Thermodynamics

Matching the Hagedorn temperature in AdS/CFT correspondence

A note on the universality of the Hagedorn behavior of pp-wave strings

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