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The magnetic line defect in the $O(N)$ model gives rise to a non-trivial one-dimensional defect conformal field theory of theoretical and experimental value. This model is considered here in $d=4-\varepsilon$ and the full spectrum of defect…

High Energy Physics - Theory · Physics 2025-08-26 Jake Belton , Nadav Drukker , Ziwen Kong , Andreas Stergiou

We compute exactly various 4-point correlation functions of shortest scalar operators in bi-scalar planar four-dimensional "fishnet" CFT. We apply the OPE to extract from these functions the exact expressions for the scaling dimensions and…

High Energy Physics - Theory · Physics 2019-10-02 Nikolay Gromov , Vladimir Kazakov , Gregory Korchemsky

The present study is the first such attempt to examine rigorously and comprehensively the spectral properties of a three-dimensional ultracold atom when both the spin-orbit interaction and the Zeeman field are taken into account. The model…

Spectral Theory · Mathematics 2016-01-20 Rytis Jursenas

Higher twist corrections to the structure function F_2 at small x are studied for the case of a flat initial condition for the twist-two QCD evolution in the next-to-leading order approximation. We present an analytical parameterization of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Alexei Yu. Illarionov , Anatoly V. Kotikov , Gonzalo Parente

Using the quantum string Bethe ansatz we derive the one-loop energy of a folded string rotating with angular momenta (S,J) in AdS_3 x S^1 inside AdS_5 x S^5 in the limit 1 << J << S, z=\lambda^(1/2) log(S/J) /(\pi J) fixed. The one-loop…

High Energy Physics - Theory · Physics 2008-11-26 P. Y. Casteill , C. Kristjansen

Disorder in spin-orbit (SO) coupling is an important feature of real low-dimensional electron structures. We study spin relaxation due to such a disorder as well as resulting abilities of spin manipulation. The spin relaxation reveals…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 V. K. Dugaev , E. Ya. Sherman , V. I. Ivanov , J. Barnas

We study in theory the generation and detection of electron spin coherence in nonlinear optical spectroscopy of semiconductor quantum dots doped with single electrons. In third-order differential transmission spectra, the inverse width of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ren-Bao Liu , S. E. Economou , L. J. Sham , D. G. Steel

We consider AdS_5 x S^5 string states with several large angular momenta along AdS_5 and S^5 directions which are dual to single-trace Super-Yang-Mills (SYM) operators built out of chiral combinations of scalars and covariant derivatives.…

High Energy Physics - Theory · Physics 2019-08-17 B. Stefanski, , A. A. Tseytlin

We study the analytic continuation in the spin of the planar spectrum of ABJM theory using the integrability-based Quantum Spectral Curve (QSC) method. Under some minimal assumptions, we classify the analytic properties of the Q-functions…

High Energy Physics - Theory · Physics 2025-03-13 Nicolò Brizio , Andrea Cavaglià , Roberto Tateo , Valerio Tripodi

We present a theory for the onset of spin density wave order in the superconducting ground state of the cuprates. We compute the scaling dimensions of allowed perturbations of a `relativistic' fixed point with O(4)xO(3) symmetry, including…

Strongly Correlated Electrons · Physics 2008-07-11 Andrea Pelissetto , Subir Sachdev , Ettore Vicari

The planar integrability of $\mathcal{N}=4$ super-Yang-Mills (SYM) is the cornerstone for numerous exact observables. We show that the large charge sector of the ${\rm SU}(2)$ $\mathcal{N}=4$ SYM provides another interesting solvable corner…

High Energy Physics - Theory · Physics 2023-06-02 João Caetano , Shota Komatsu , Yifan Wang

We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra $U_q(\slth)$. Using the method developed recently for the XXZ spin chain, we formulate the space of states, transfer…

High Energy Physics - Theory · Physics 2015-06-26 Makoto Idzumi , Kenji Iohara , Michio Jimbo , Tetsuji Miwa , Toshiki Nakashima , Tetsuji Tokihiro

The mathematical apparatus of quantum--mechanical angular momentum (re)coupling, developed originally to describe spectroscopic phenomena in atomic, molecular, optical and nuclear physics, is embedded in modern algebraic settings which…

Quantum Physics · Physics 2010-04-14 V. Aquilanti , A. C. P. Bitencourt , C. da S. Ferreira , A. Marzuoli , M. Ragni

In the context of the superconformal N=4 SYM theory the Konishi anomaly can be viewed as the descendant $K_{10}$ of the Konishi multiplet in the 10 of SU(4), carrying the anomalous dimension of the multiplet. Another descendant $O_{10}$…

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

We study a three-dimensional differential calculus on the standard Podles quantum two-sphere S^2_q, coming from the Woronowicz 4D+ differential calculus on the quantum group SU_q(2). We use a frame bundle approach to give an explicit…

Quantum Algebra · Mathematics 2015-05-18 Simon Brain , Giovanni Landi

We revisit the strong coupling limit of the cusp anomalous dimension in planar N=4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension…

High Energy Physics - Theory · Physics 2015-10-28 Daniele Dorigoni , Yasuyuki Hatsuda

We study loop amplitudes in anti de-Sitter space via the spectral representation. We consider loops of spinning fields and in particular gauge fields, and derive various identities connecting different families of loop diagrams, at…

High Energy Physics - Theory · Physics 2024-06-18 Dean Carmi

We investigate the entanglement spectrum near criticality in finite quantum spin chains. Using finite size scaling we show that when approaching a quantum phase transition, the Schmidt gap, i.e., the difference between the two largest…

Statistical Mechanics · Physics 2012-12-10 G. De Chiara , L. Lepori , M. Lewenstein , A. Sanpera

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 supersymmetry transformation relating the Konishi operator to its lowest descendant in the 10 of SU(4) is not manifest in the N=1 formulation of the theory but rather uses an equation of motion. On the classical level one finds one…

High Energy Physics - Theory · Physics 2011-03-28 B. Eden