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We review the constructions and tests of the dilatation operator and of the spectrum of composite operators in the flavour SU(2) subsector of N=4 SYM in the planar limit by explicit Feynman graph calculations with emphasis on analyses…

High Energy Physics - Theory · Physics 2015-05-20 C. Sieg

We apply bootstrap techniques in order to constrain the CFT data of the $(A_1,A_2)$ Argyres-Douglas theory, which is arguably the simplest of the Argyres-Douglas models. We study the four-point function of its single Coulomb branch chiral…

High Energy Physics - Theory · Physics 2018-04-04 Martina Cornagliotto , Madalena Lemos , Pedro Liendo

We consider two-loop anomalous dimensions for fermionic operators in the ABJM model and the ABJ model. We find the appropriate Hamiltonian and show that it is consistent with a previously predicted Bethe ansatz for the ABJM model. The…

High Energy Physics - Theory · Physics 2009-11-13 J. A. Minahan , W. Schulgin , K. Zarembo

What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more…

High Energy Physics - Theory · Physics 2020-06-24 David Meltzer

We compute the three-loop anomalous dimension of the BMN operators with charges J=0 (the Konishi multiplet) and J=1 in N=4 super-Yang-Mills theory. We employ a method which effectively reduces the calculation to two loops. Instead of using…

High Energy Physics - Theory · Physics 2010-04-05 B. Eden , C. Jarczak , E. Sokatchev

We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar…

High Energy Physics - Theory · Physics 2018-01-17 Marco S. Bianchi , Andrea Mauri

We determine the all-loop dressing phases of the AdS3/CFT2 integrable system related to type IIB string theory on AdS3 x S3 x T4 by solving the recently found crossing relations and studying their singularity structure. The two resulting…

High Energy Physics - Theory · Physics 2013-09-18 Riccardo Borsato , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski , Alessandro Torrielli

Anomalous dimensions of high-twist Wilson operators in generic gauge theories occupy a band of width growing logarithmically with their conformal spin. We perform a systematic study of its fine structure in the autonomous SL(2) subsector of…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. V. Belitsky , G. P. Korchemsky , R. S. Pasechnik

We perform an explicit two-loop calculation of the dilatation operator acting on single trace Wilson operators built from holomorphic scalar fields and an arbitrary number of covariant derivatives in N=2 and N=4 supersymmetric Yang-Mills…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , G. P. Korchemsky , D. Müller

We study the conformal field theory data (CFT-data) of planar 4D $\mathcal{N} = 4$ Super-Yang-Mills theory in the strong 't Hooft coupling limit. This regime explores the physics of massive short strings in the flat-space limit of the dual…

High Energy Physics - Theory · Physics 2025-01-27 Julius Julius , Nika Sergeevna Sokolova

The two-loop four-point amplitude of two massless SU(N) colored scalars and two color singlet operators with different virtuality described by a half-BPS and Konishi operators is calculated analytically in maximally supersymmetric…

High Energy Physics - Theory · Physics 2020-12-01 Taushif Ahmed , Prasanna K. Dhani

We obtain the planar correlation function of four half-BPS operators of arbitrary weights, up to three loops. Our method exploits only elementary properties of the integrand of the planar correlator, such as its symmetries and singularity…

High Energy Physics - Theory · Physics 2016-08-24 Dmitry Chicherin , James Drummond , Paul Heslop , Emery Sokatchev

It was demonstrated in recent work that $d=4$ unitary CFT's satisfy a special property: if a scalar operator with conformal dimension $\Delta$ exists in the operator spectrum, then the conformal bootstrap demands that large spin primary…

High Energy Physics - Theory · Physics 2015-08-12 Gideon Vos

We consider high spin, $s$, long twist, $L$, planar operators (asymptotic Bethe Ansatz) of strong ${\cal N}=4$ SYM. Precisely, we compute the minimal anomalous dimensions for large 't Hooft coupling $\lambda$ to the lowest order of the…

High Energy Physics - Theory · Physics 2015-06-03 Davide Fioravanti , Marco Rossi

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

The Bethe ansatz, both in its coordinate and its algebraic version, is an exceptional method to compute the eigenvectors and eigenvalues of integrable systems. However, computing correlation functions using the eigenvectors thus constructed…

High Energy Physics - Theory · Physics 2023-12-25 Rafael Hernandez , Juan Miguel Nieto

Using the algebraic curve approach we one-loop quantize the folded string solution for the type IIB superstring in AdS(5)xS(5). We obtain an explicit result valid for arbitrary values of its Lorentz spin S and R-charge J in terms of…

High Energy Physics - Theory · Physics 2011-09-12 Nikolay Gromov , Didina Serban , Igor Shenderovich , Dmytro Volin

We provide the two fundamental sets of functional relations which describe the strong coupling limit of scattering amplitudes in $\mathcal{N} = 4$ SYM dual to Wilson loops in $AdS_3$: the basic $QQ$-system and the derived $TQ$-system. We…

High Energy Physics - Theory · Physics 2020-12-30 Davide Fioravanti , Marco Rossi , Hongfei Shu

We briefly review the status quo of the application of integrable systems techniques to the AdS/CFT correspondence in the large charge approximation, a rapidly evolving topic. Intricate string and gauge computations of, respectively,…

High Energy Physics - Theory · Physics 2007-05-23 G. Arutyunov , M. Staudacher

We find that the density operator of non-equilibrium steady state (NESS) of XXZ spin chain with strong ``sink and source" boundary dissipation, can be described in terms of quasiparticles, with renormalized -- dissipatively dressed --…

Statistical Mechanics · Physics 2025-12-08 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaz Prosen
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