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We study deep inelastic scattering (DIS) of charged leptons from polarised spin-1/2 hadrons in terms of the gauge/gravity duality. We calculate the structure functions related to spin-1/2 fermionic operators of ${\cal {N}}=4$ SYM theory in…

High Energy Physics - Theory · Physics 2020-07-15 David Jorrin , Gustavo Michalski , Martin Schvellinger

We study integrated correlation functions of half-BPS operators in $SU(N)$ $\mathcal{N} = 4$ supersymmetric Yang-Mills theory (SYM) involving two superconformal primary operators in the stress-tensor multiplet and two identical…

High Energy Physics - Theory · Physics 2026-02-06 Francesco Aprile , Daniele Dorigoni , Rudolfs Treilis

We use gauge-gravity duality to compute spectral functions of fermionic operators in a strongly-coupled defect field theory in p-wave superfluid states. The field theory is (3+1)-dimensional N=4 supersymmetric SU(Nc) Yang-Mills theory, in…

High Energy Physics - Theory · Physics 2010-05-27 Martin Ammon , Johanna Erdmenger , Matthias Kaminski , Andy O'Bannon

We study the four-point function of the lowest-lying half-BPS operators in the ${\cal N} =4$ $SU(N)$ super-Yang-Mills theory and its relation to the flat-space four-graviton amplitude in type IIB superstring theory. We work in a large-$N$…

High Energy Physics - Theory · Physics 2020-12-02 Shai M. Chester , Michael B. Green , Silviu S. Pufu , Yifan Wang , Congkao Wen

We construct interpolating functions fully compatible with S-duality. We then consider the problem of resumming perturbative expansions for anomalous dimensions of low twist non-protected operators in N=4 super Yang-Mills theory. When the…

High Energy Physics - Theory · Physics 2015-06-17 Luis F. Alday , Agnese Bissi

From a deformed AdS$_5$ space, we used the string/gauge duality to study the deep inelastic scattering for unpolarized fermions with spin 1/2, considering the large Bjorken $x$ parameter regime. Here, we also took into account an anomalous…

High Energy Physics - Phenomenology · Physics 2022-06-15 Eduardo Folco Capossoli , Miguel Angel Martín Contreras , Danning Li , Alfredo Vega , Henrique Boschi-Filho

This review is devoted to collecting some results on the high spin expansion of (minimal) anomalous dimension. Thanks to the recent rationale on integrability, planar ${\cal N}=4$ super Yang-Mills theory (or its…

High Energy Physics - Theory · Physics 2011-01-05 Davide Fioravanti , Marco Rossi

The Gross-Neveu model defines a unitary CFT of interacting fermions in $2<d<4$ which has perturbative descriptions in the $1/N$ expansion and in the epsilon-expansion near two and four dimensions. In each of these descriptions, the CFT has…

High Energy Physics - Theory · Physics 2017-09-18 S. Giombi , V. Kirilin , E. Skvortsov

We study correlation functions of local operator insertions on the 1/2-BPS Wilson line in ${\cal N}=4$ super Yang-Mills theory. These correlation functions are constrained by the 1d superconformal symmetry preserved by the 1/2-BPS Wilson…

High Energy Physics - Theory · Physics 2019-05-20 Simone Giombi , Radu Roiban , Arkady A. Tseytlin

We study particular integrated correlation functions of two superconformal primary operators of the stress tensor multiplet in the presence of a half-BPS line defect labelled by electromagnetic charges $(p,q)$ in $\mathcal{N}=4$…

High Energy Physics - Theory · Physics 2024-09-20 Daniele Dorigoni , Zhihao Duan , Daniele R. Pavarini , Congkao Wen , Haitian Xie

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

We consider N=1, D=4 superconformal U(N)^{pq} Yang-Mills theories dual to AdS_5xS^5/Z_pxZ_q orbifolds. We construct the dilatation operator of this superconformal gauge theory at one-loop planar level. We demonstrate that a specific sector…

High Energy Physics - Theory · Physics 2009-11-11 Darius Sadri , M. M. Sheikh-Jabbari

Super-Yang-Mills theory (SYM) is a central building block for supersymmetric extensions of the Standard Model of particle physics. Whereas the weakly coupled subsector of the latter can be treated within a perturbative setting, the strongly…

High Energy Physics - Lattice · Physics 2021-02-03 Marc Steinhauser , André Sternbeck , Björn Wellegehausen , Andreas Wipf

In Ref. [arXiv:1005.4469], Alday and Tachikawa observed that the Nekrasov partition function of N=2 SU(2) superconformal gauge theories in the presence of fundamental surface operators can be associated to conformal blocks of a 2D CFT with…

High Energy Physics - Theory · Physics 2013-10-22 Juan Pablo Babaro , Gaston Giribet

We discuss the QCD effects of the higher-twist operators in the nucleon spin-dependent structure functions measured by the polarized deep inelastic leptoproduction. We particularly study the renormalization of the twist-3 and twist-4…

High Energy Physics - Phenomenology · Physics 2016-09-01 Tsuneo Uematsu

We study anomalous dimensions of unprotected low twist operators in the four-dimensional $SU(N)$ $\mathcal{N}=4$ supersymmetric Yang-Mills theory. We construct a class of interpolating functions to approximate the dimensions of the leading…

High Energy Physics - Theory · Physics 2017-05-24 Abhishek Chowdhury , Masazumi Honda , Somyadip Thakur

Correlation functions of chiral primary operators and their superconformal descendants in the N=4 supersymmetric SU(N) Yang-Mills theory are studied in detail in a one-instanton background and at large N. Whereas earlier calculations were…

High Energy Physics - Theory · Physics 2014-11-18 Michael B. Green , Stefano Kovacs

We study non-perturbative interpolating functions to probe the physics of anomalous dimensions associated with twist-two operators in ${\cal N}=4$ SYM of finite and infinite spin. Compared to previous studies, the novel result of this paper…

High Energy Physics - Theory · Physics 2019-09-04 Aritra Banerjee , Abhishek Chowdhury , Somyadip Thakur , Gang Yang

We investigate the spectral flows of the hermitian Wilson-Dirac operator in the fundamental and adjoint representations on two ensembles of pure SU(2) gauge field configurations at the same physical volume. We find several background gauge…

High Energy Physics - Lattice · Physics 2009-10-31 Robert G. Edwards , Urs M. Heller , Rajamani Narayanan

We demonstrate the existence of an infinite number of local commuting charges for classical solutions of the string sigma model on AdS_5 x S^5 associated with a certain circular three-spin solution spinning with large angular momenta in…

High Energy Physics - Theory · Physics 2009-11-10 Johan Engquist
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