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Related papers: Wrapping effects in supersymmetric gauge theories

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We study N=(0,2) deformed (2,2) two-dimensional sigma models. Such heterotic models were discovered previously on the world sheet of non-Abelian strings supported by certain four-dimensional N=1 theories. We study geometric aspects and…

High Energy Physics - Theory · Physics 2015-06-19 Jin Chen , Xiaoyi Cui , Mikhail Shifman , Arkady Vainshtein

We study the form factors of the Konishi operator, the prime example of non-protected operators in N=4 SYM theory, via the on-shell unitarity methods. Since the Konishi operator is not protected by supersymmetry, its form factors share many…

High Energy Physics - Theory · Physics 2017-03-01 Dhritiman Nandan , Christoph Sieg , Matthias Wilhelm , Gang Yang

We extend recent remarkable progress in the comparison of the dynamical energy spectrum of rotating closed strings in AdS_5xS^5 and the scaling weights of the corresponding non-near-BPS operators in planar N=4 supersymmetric gauge theory.…

High Energy Physics - Theory · Physics 2009-09-29 N. Beisert , S. Frolov , M. Staudacher , A. A. Tseytlin

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 compute the anomalous dimension of a length-five operator at five-loop order in the SU(2) sector of N=4 SYM theory in the planar limit. This is critical wrapping order at five loops. The result is obtained perturbatively by means of N=1…

High Energy Physics - Theory · Physics 2015-05-13 Francesco Fiamberti , Alberto Santambrogio , Christoph Sieg

Maximally supersymmetric gauge theories have experienced renewed interest due to the AdS/CFT correspondence and its conjectured S-duality. These gauge theories possess a large amount of symmetry and have quasi-integrable properties. We…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

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

We derive the Konishi anomaly equations for N=1 supersymmetric gauge theories based on the classical gauge groups with matter in two-index tensor and fundamental representations, thus extending the existing results for U(N). A general…

High Energy Physics - Theory · Physics 2009-11-10 Per Kraus , Anton V. Ryzhov , Masaki Shigemori

A systematic investigation is given of finite size effects in $d=2$ quantum gravity or equivalently the theory of dynamically triangulated random surfaces. For Ising models coupled to random surfaces, finite size effects are studied on the…

High Energy Physics - Theory · Physics 2016-09-06 N. D. Hari Dass

In this article we calculate the five-loop anomalous dimension of twist-two operators in the planar N=4 SYM theory. Firstly, using reciprocity, we derive the contribution of the asymptotic Bethe ansatz. Subsequently, we employ the first…

High Energy Physics - Theory · Physics 2014-11-20 T. Lukowski , A. Rej , V. N. Velizhanin

We write an integral equation that incorporates finite corrections to the large spin asymptotics of N=4 SYM twist operators from the non-linear integral equation. We show that these corrections are an all-loop result, not affected by…

High Energy Physics - Theory · Physics 2009-07-30 Lisa Freyhult , Stefan Zieme

Finite size effects for the Ising Model coupled to two dimensional random surfaces are studied by exploiting the exact results from the 2-matrix models. The fixed area partition function is numerically calculated with arbitrary precision by…

High Energy Physics - Theory · Physics 2009-10-28 N. D. Hari Dass , B. E. Hanlon , T. Yukawa

We perform a systematic analysis of wrapping interactions for a general class of theories with color degrees of freedom, including N=4 SYM. Wrapping interactions arise in the genus expansion of the 2-point function of composite operators as…

High Energy Physics - Theory · Physics 2010-04-05 Christoph Sieg , Alessandro Torrielli

We demonstrate that the standard O(n) symmetric $\phi^{4}$ field theory does not correctly describe the leading finite-size effects near the critical point of spin systems on a $d$-dimensional lattice with $d > 4$. We show that these…

Condensed Matter · Physics 2015-06-25 X. S. Chen , V. Dohm

The two-loop anomalous dimension of the chiral matter superfields is calculated for a general ${\cal N}=1$ supersymmetric gauge theory regularized by higher covariant derivatives. We obtain both the anomalous dimension defined in terms of…

High Energy Physics - Theory · Physics 2020-07-15 Alexander Kazantsev , Konstantin Stepanyantz

We suggest how to consistently calculate the anomalous dimension $\gamma_*$ of the $\bar{\psi}\psi$ operator in finite order perturbation theory at an infrared fixed point for asymptotically free theories. If the $n+1$ loop beta function…

High Energy Physics - Theory · Physics 2016-08-17 Thomas A. Ryttov

The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , S. Vinti

Recently it was shown that the scaling dimension of the operator $\phi^n$ in $\lambda(\bar\phi\phi)^2$ theory may be computed semiclassically at the Wilson-Fisher fixed point in $d=4-\epsilon$, for generic values of $\lambda n$, and this…

High Energy Physics - Theory · Physics 2021-12-01 I. Jack , D. R. T. Jones

We review the computation of the anomalous dimension of twist operators in the planar limit of N=4 SYM using the asymptotic Bethe ansatz and demonstrate how this quantity is obtained at weak, strong and intermediate values of the coupling…

High Energy Physics - Theory · Physics 2015-05-20 Lisa Freyhult

We study the finite size effect of rigidly rotating and spinning folded strings in $(AdS_3\times S^3)_{\varkappa}$ background. We calculate the leading order exponential corrections to the infinite size dispersion relation of the giant…

High Energy Physics - Theory · Physics 2018-10-17 Kamal L. Panigrahi , Manoranjan Samal