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This paper is devoted to a systematic discussion of the supersymmetric index Tr (-1)^F for the minimal supersymmetric Yang-Mills theory -- with any simple gauge group G -- primarily in four spacetime dimensions. The index has refinements…

High Energy Physics - Theory · Physics 2010-04-07 Edward Witten

We construct, in the framework of the N=4 SYM theory, a supermultiplet of twist-two conformal operators and study their renormalization properties. The components of the supermultiplet have the same anomalous dimension and enter as building…

High Energy Physics - Theory · Physics 2009-11-10 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

The partition function of four dimensional Euclidean, non-supersymmetric SU(2) Yang--Mills theory is calculated in the perturbative and weak coupling regime i.e. in a small open ball about the flat connection (what we call the vicinity of…

High Energy Physics - Theory · Physics 2023-04-11 Gabor Etesi

We study $\mathcal{N}=2$ supersymmetric Yang--Mills theory in four dimensions and then compactify it on $\mathbb{R}^{3}\times S^{1}$. The gauge symmetry of the theory is broken by a vacuum expectation value of the scalar field, which…

High Energy Physics - Theory · Physics 2012-06-12 Kirill Petunin

Using gauge-gravity duality, we extend thermodynamic studies and present results for thermal screening masses in strongly coupled N=2* supersymmetric Yang-Mills theory. This non-conformal theory is a mass deformation of maximally…

High Energy Physics - Theory · Physics 2017-09-05 Carlos Hoyos , Steve Paik , Laurence G. Yaffe

We determine the spectrum of currents generated by the operator product expansion of the energy-momentum tensor in N=4 super-symmetric Yang-Mills theory. Up to the regular terms and in addition to the multiplet of the stress tensor, three…

High Energy Physics - Theory · Physics 2009-10-31 D. Anselmi

We study a class of twisted 3D $N=4$ supersymmetric Yang-Mills (SYM) theory on particular 3-dimensional lattice denoted as $\mathcal{L}_{3D}^{su_3\times u_1}$ and given by non trivial fibration $\mathcal{L}_{1D}^{u_1}\times…

High Energy Physics - Theory · Physics 2014-07-16 El Hassan Saidi

We compute the spectrum of photons emitted by the finite-temperature large-N SU(N) ${\cal {N}}=4$ supersymmetric Yang-Mills plasma coupled to electromagnetism, at strong yet finite 't Hooft coupling. We work in the holographic dual…

High Energy Physics - Theory · Physics 2013-05-30 Babiker Hassanain , Martin Schvellinger

Various observables in different four-dimensional superconformal Yang-Mills theories can be computed exactly as Fredholm determinants of truncated Bessel operators. We exploit this relation to determine their dependence on the 't Hooft…

High Energy Physics - Theory · Physics 2024-06-05 Zoltan Bajnok , Bercel Boldis , Gregory P. Korchemsky

It is argued that there are strong similarities between the infra-red physics of N=2 supersymmetric Yang-Mills and that of the quantum Hall effect, both systems exhibit a hierarchy of vacua with a sub-group of the modular group mapping…

High Energy Physics - Theory · Physics 2009-11-11 Brian P. Dolan

We consider a semi-classical treatment, in the regime of weak gauge coupling, of supersymmetric Yang-Mills theory in a space-time of the form T^3xR with SU(n)/Z_n gauge group and a non-trivial gauge bundle. More specifically, we consider…

High Energy Physics - Theory · Physics 2011-02-28 Fredrik Ohlsson

Supersymmetric localisation has led to several modern developments in the study of integrated correlators in $\mathcal{N}=4$ supersymmetric Yang-Mills (SYM) theory. In particular, exact results have been derived for certain integrated…

High Energy Physics - Theory · Physics 2023-08-30 Daniele Dorigoni , Paolo Vallarino

A new topological conformal field theory in four Euclidean dimensions is constructed from N=4 super Yang-Mills theory by twisting the whole of the conformal group with the whole of the R-symmetry group, resulting in a theory that is…

High Energy Physics - Theory · Physics 2009-11-07 Paul de Medeiros , Jose Figueroa-O'Farrill , Christopher Hull , Bill Spence

We offer a novel perspective on ${\cal N}=4$ supersymmetric Yang-Mills (SYM) theory through the framework of the Nicolai map, a transformation of the bosonic fields that allows one to compute quantum correlators in terms of a free, purely…

High Energy Physics - Theory · Physics 2022-04-06 Maximilian Rupprecht

The $SU(N)$ Yang-Mills theory compactified on $\mathbb{R}^3 \times S^1_L$ with small $L$ has many merits, for example the long range effective theory is weakly coupled and adopts rich topological structures, making it semi-classically…

High Energy Physics - Theory · Physics 2025-03-04 Baiyang Zhang , Aditya Dhumuntarao

It is expected that incorporating the center symmetry in the conventional dimensionally reduced effective theory for high-temperature SU(N) Yang-Mills theory, EQCD, will considerably extend its applicability towards the deconfinement…

High Energy Physics - Lattice · Physics 2010-01-21 A. Kurkela

We use a combination of perturbation theory, holography, supersymmetric localization, integrability, and numerical conformal bootstrap methods to constrain the energy-energy correlator in $\text{SU}(N_c)$ ${\mathcal N}=4$ SYM at finite…

High Energy Physics - Theory · Physics 2025-12-12 Ross Dempsey , Robin Karlsson , Silviu S. Pufu , Zahra Zahraee , Alexander Zhiboedov

We extend the recently developed strong coupling, dimensionally reduced Polyakov-loop effective theory from finite-temperature pure Yang-Mills to include heavy fermions and nonzero chemical potential by means of a hopping parameter…

High Energy Physics - Lattice · Physics 2011-12-14 Michael Fromm , Jens Langelage , Stefano Lottini , Owe Philipsen

Tremendous ongoing theory efforts are dedicated to developing new methods for QCD calculations. Qualitative rather than incremental advances are needed to fully exploit data still to be collected at the LHC. The maximally supersymmetric…

High Energy Physics - Theory · Physics 2022-10-05 Johannes M. Henn

Celestial amplitude is a new reformulation of momentum space scattering amplitude and offers a promising way for flat holography. In this paper, we study the celestial amplitude in $\mathcal N=4$ Super-Yang-Mills (SYM) theory aiming at…

High Energy Physics - Theory · Physics 2021-09-01 Hongliang Jiang