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We quantify the transition between weak and strong coupling in thermal ${\cal N}=4$ supersymmetric Yang--Mills (SYM) theory in four space-time dimensions by constructing an \emph{admissible ensemble} of log-aware Pad\'e approximants that…

High Energy Physics - Theory · Physics 2026-04-23 Ubaid Tantary

Thermodynamics of d=4, N=4 supersymmetric SU(N) Yang-Mills theory is studied with particular attention on perturbative expansion at weak `t Hooft coupling regime and interpolation to strong coupling regime thereof. Non-ideal gas effect to…

High Energy Physics - Theory · Physics 2009-10-31 Chanju Kim , Soo-Jong Rey

The interest in the thermodynamics of supersymmetric Yang-Mills started after Maldacena proposed the duality between string theory on AdS backgrounds and the large-N limit of SYM theories. One of the motivations to study the thermal…

High Energy Physics - Theory · Physics 2022-03-07 Ubaid Tantary , Qianqian Du , Michael Strickland

Recently, a number of intriguing results have been obtained for strongly coupled ${\cal N}=4$ Supersymmetric Yang-Mills theory in vacuum and matter, using the AdS/CFT correspondence. In this work, we provide a physical picture supporting…

High Energy Physics - Theory · Physics 2009-11-10 Edward Shuryak , Ismail Zahed

We argue that the large N strong/weak phase transition is a generic phenomenon in a finite temperature supersymmetric Yang-Mills theory of maximal supersymmetry. ${\cal N}=4$, D=4 SYM is the canonical example, where we also argue that the…

High Energy Physics - Theory · Physics 2007-05-23 Yi-hong Gao , Miao Li

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}=4$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at zero temperature.…

High Energy Physics - Phenomenology · Physics 2010-05-28 Shao-xia Chu , Defu Hou , Hai-cang Ren

The strong coupling behavior of finite temperature free energy in N=4 supersymmetric SU(N) Yang-Mills theory has been recently discussed by Gubser, Klebanov and Tseytlin in the context of AdS-SYM correspondence. In this note, we focus on…

High Energy Physics - Theory · Physics 2009-12-30 A. Fotopoulos , T. R. Taylor

The free energy of the maximally supersymmetric SU(N) gauge theory at temperature T is expected to scale, in the large N limit, as N^2 T^4 times a function of the 't Hooft coupling, f(g_{YM}^2 N). In the strong coupling limit the free…

High Energy Physics - Theory · Physics 2009-09-17 Steven S. Gubser , Igor R. Klebanov , Arkady A. Tseytlin

Recently lattice simulation in pure Yang-Mills theory exposes significant quadratic corrections for both the thermodynamic quantities and the renormalized Polyakov loop in the deconfined phase. These terms are previously found to appear…

High Energy Physics - Theory · Physics 2015-05-11 Fen Zuo , Yi-Hong Gao

The planar N=2* Super-Yang-Mills (SYM) theory is solved at large 't Hooft coupling using localization on S(4). The solution permits detailed investigation of the resonance phenomena responsible for quantum phase transitions in infinite…

High Energy Physics - Theory · Physics 2015-06-22 Xinyi Chen-Lin , James Gordon , Konstantin Zarembo

Applying the AdS/CFT correspondence, the expansion of the heavy-quark potential of the ${\cal N}$ supersymmetric Yang-Mills theory at large $N_c$ is carried out to the sub-leading term in the large 't Hooft coupling at nonzero temperatures.…

High Energy Physics - Phenomenology · Physics 2015-03-19 Zi-qiang Zhang , Defu Hou , Hai-cang Ren , Lei Yin

We review Wilson loops in N=4 supersymmetric Yang-Mills theory with emphasis on the exact results. The implications are discussed in the context of the AdS/CFT correspondence.

High Energy Physics - Theory · Physics 2009-11-07 Gordon W. Semenoff , K. Zarembo

We apply the previously proposed scheme of approximately self-consistent hard-thermal-loop resummations in the entropy of high-temperature QCD to N=4 supersymmetric Yang-Mills (SYM) theories and compare with a (uniquely determined) R[4,4]…

High Energy Physics - Phenomenology · Physics 2010-10-27 J. -P. Blaizot , E. Iancu , U. Kraemmer , A. Rebhan

We study strong-weak coupling duality (S-duality) in N=4 supersymmetric non-Abelian Yang-Mills theories. These theories arise naturally as the low-energy limit of four-dimensional toroidal compactifications of the heterotic string. Firstly,…

High Energy Physics - Theory · Physics 2011-07-19 L. Girardello , A. Giveon , M. Porrati , A. Zaffaroni

D3 and D7-branes intersecting in 2+1 dimensions give rise at low energies to N=4 supersymmetric Yang-Mills theory coupled to defect fermions in the fundamental representation. This theory undergoes a BKT-type phase transition from a…

High Energy Physics - Theory · Physics 2012-01-31 David Kutasov , Jennifer Lin , Andrei Parnachev

We consider N = 4 supersymmetric Yang-Mills theory with SU(N) gauge group at large N and at finite temperature on a spatial S^3. We show that, at finite weak 't Hooft coupling, the theory is naturally described as a two dimensional Coulomb…

High Energy Physics - Theory · Physics 2008-11-26 Sean A. Hartnoll , S. Prem Kumar

We calculate the resummed perturbative free energy of ${\cal N}=4$ supersymmetric Yang-Mills in four spacetime dimensions ($\text{SYM}_{4,4}$) through second order in the 't Hooft coupling $\lambda$ at finite temperature and zero chemical…

High Energy Physics - Theory · Physics 2021-11-25 Qianqian Du , Michael Strickland , Ubaid Tantary

We consider the $4d$ $\mathcal{N}=2$ superconformal quiver gauge theory obtained by a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two…

High Energy Physics - Theory · Physics 2025-05-08 Alessandro Pini , Paolo Vallarino

We investigate the analytic structure of thermal energy-momentum tensor correlators at large but finite coupling in quantum field theories with gravity duals. We compute corrections to the quasinormal spectra of black branes due to the…

High Energy Physics - Theory · Physics 2016-10-18 Sašo Grozdanov , Nikolaos Kaplis , Andrei O. Starinets

The AdS/CFT correspondence provides valuable constraints on the possible exact form of various physical quantities in the ${\cal N}=4$ super Yang-Mills theory in the large N limit. We examine the free energy as the expansions in a small as…

High Energy Physics - Theory · Physics 2009-10-31 Miao Li
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