Gauge/string duality in confining theories

Edelstein, José D.; Portugues, Rubén

doi:10.1002/prop.200610301

Cited by 22 publications

(22 citation statements)

References 142 publications

(220 reference statements)

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“…The relation between the supergravity backgrounds, the gauge theory, and gauged supergravity was exhibited in [25]. For a review on this issue see [30].…”

Section: The Gauge Theory At Zero Temperaturementioning

confidence: 99%

The quark–gluon plasma and D6-branes on the conifold

Schmude

2009

Nuclear Physics B

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We investigate the possibility of constructing a supergravity background dual to the quark-gluon plasma using D6-branes wrapping a threecycle in the deformed conifold. The UV-completion of this setup is given by M-theory on a G2 holonomy manifold. For the class of metrics considered we find that there are only non-extremal D-brane solutions in the limit of the singular conifold with the singularity being resolved by the D-brane horizon. The thermodynamic properties of the system show some puzzling features, such as negative specific heat at an unusual behavior of the entropy. Among the properties of the plasma studied using this holographic dual are the quark-antiquark potential, the shear viscosity and parton energy loss. While one finds the expected behavior for the potential and the viscosity -deconfinement and the universal shear-viscosity to entropy ratio -both the jet quenching parameter and the calculation of the drag force lead us to the conclusion that there is no parton energy loss in the dual plasma. Our results indicate that the background constructed is not dual to a realistic QGP, yet we argue that this should improve upon inclusion of the three-form gauge potential in the elevendimensional background. * pyjs@swansea.ac.uk 1

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“…The relation between the supergravity backgrounds, the gauge theory, and gauged supergravity was exhibited in [25]. For a review on this issue see [30].…”

Section: The Gauge Theory At Zero Temperaturementioning

confidence: 99%

The quark–gluon plasma and D6-branes on the conifold

Schmude

2009

Nuclear Physics B

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“…As a result, this solution with self-gravitating Yang-Mills field has found quite interesting and serious applications. Generally known as solution of Maldacena and Nunez (the names of Chamseddine and Volkov seem now to be completely forgotten) it plays an important role in the analysis of string theory (see 53,54 for recent reviews). Non Abelian vacua have also been studied 55 in the context of a gauged SUGRA in D=5.…”

Section: Non-abelian Vacua In Gauged Sugrasmentioning

confidence: 99%

Gravitating Non-Abelian Solitons and Hairy Black Holes in Higher Dimensions

Volkov

2008

The Eleventh Marcel Grossmann Meeting

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This is a short review of classical solutions with gravitating Yang-Mills fields in D > 4 spacetime dimensions. The simplest SO(4) symmetric particlelike and SO(3) symmetric vortex type solutions in the Einstein-Yang-Mills theory in D = 5 are considered, and their various generalizations with or without an event horizon, for other symmetries, in more general theories, and also in D > 5 are described. In addition, supersymmetric solutions with gravitating Yang-Mills fields in string theory are discussed.

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“…We then might state three different versions of the conjecture which, in increasing level of conservatism, can be named as the strong, the mild and the weak. They are decribed below, where the appropiate limits are assumed on the parameters of the theory are also mentioned [69,70].…”

Section: Chapter 4 Ads/cft Correspondencementioning

confidence: 99%

“…Classical type IIB strings 't Hooft large N c limit of [69]). The ( * ) was put because we actually do not have evidence for these forms of the correspondence [71].…”

Section: Gravity Side Gauge Theory Sidementioning

confidence: 99%

“…For describing nature it would be more interesting to understand various strong coupling properties of QCD, such as confinement and chiral symmetry breaking. That is what we call a realistic gauge theory, and since QCD has shown to be useful to explain several experimental data, the aim since the original Maldacena conjecture was proposed was to find the gravitational description of the QCD [69,112,120]. This crusade is still ongoing.…”

Section: Chiral Operators (The Field-operator Map)mentioning

confidence: 99%

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Topics in gauge/gravity dualities

Romero¹

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Specially to Dr. Faraggi, who spent a lot of his pos-doctoral research time in IFUSP to try to teach me the necessary to face true theoretical physics, concepts, calculations and attitude.To Dr. Dmitry Melnikov from IIP-UFRN, for his patience to answer some questions by email, give ideas and recommend excellent references.To Dr. Jorge Noronha from IFUSP, for his comments during my thesis defense and also his detailed corrections.To IFUSP and CNPq for the financial support that allowed to make confortable my life and studies out of my country.Agradezco a mis padres, Juan y María, que me han ayudado y acompañado hasta ahora.Sin su apoyo no hubiese podido llegar hasta aquí. A mis amigos, Jonathan, Pedro y Pepe, que afortunadamente no son físicos, por su compañia a la distancia. Y a Laura.ii iii "There is geometry in the humming of the strings.There is music in the spacing of the spheres." Pythagoras ResumoEssa tese consiste num estudo autocontido das dualidades calibre/gravidade na linha do modelo do Klebanov-Witten. Aqui nos exploramos primeiro de um jeito razoavelmente detalhado,a conhecida dualidade do Maldacena que relaciona a teoria N = 4 SYM em quatro dimensões com as supercordas tipo IIB no espaço AdS 5 × S 5 , depois de alguns preliminares necessários sobre teorias supersimétricas de calibre, onde nós mostramos em detalhe aálgebra supersimétrica e as representações para N ≥ 1 supersimetria. Nós também construímos os conhecidos supercampos que sãoúteis para escrever lagrangianas invariantes para teorias de calibre facilmente, e então serãoúteis para construir a teoría de calibre do modelo de Klebanov-Witten. Na correspondência AdS/CFT original e as suas extensões fenomenologicamente interessantes, as Dp-branas, como soluções de supergravidade e objetos não perturbativos na teoria de cordas onde as teorias de calibre moram, são essenciais. Assim ,a fim de preservar a natureza autocontida desse trabalho, nós incluímos uma breve revisão sobre teoria de supercordas dirigida a entender a necessidade de incluir esses objetos extra-dimensionais usando dualidade-T e, no limite de baixa-energia da teoria de cordas, como soluções das equações de Einstein. O primeiro clímax desse trabalho ocorre quando nós usamos tudo o que aprendemos para estabelecer a conjectura do Maldacena, a teoria de calibre N = 4 SYM que nós estudamos no capítulo de supersimetria, morando no volume de mundo quadridimensional de uma pilha de N c D3-branas (sim, o subscrito "c" significa cor!) em espaço plano, corresponde exatamenteà teoria de supergravidade tipo IIB no espaço AdS 5 × S 5 .A fim de testar ela, nós identificamos simetrias e operadores com estados em ambos lados da dualidade. Mas na verdade isto correspondeà forma fraca da correspondência, porque nãoé possível lidar nem com a teoria de cordas nem com a teoria de calibre no limite de acoplamento forte.O foco e motivo principal de porque nós temos que aprender as primeiras cem páginas aqui, será estender a teoria de calibre dual que estudamos em AdS/CFT, para teorias de calibre mais r...

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Gauge/string duality in confining theories

Cited by 22 publications

References 142 publications

The quark–gluon plasma and D6-branes on the conifold

The quark–gluon plasma and D6-branes on the conifold

Gravitating Non-Abelian Solitons and Hairy Black Holes in Higher Dimensions

Topics in gauge/gravity dualities

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