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Related papers: The Leading Order Dressing Phase in ABJM Theory

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Using on-shell methods, we present a new perturbative non-renormalization theorem for operator mixing in massless four-dimensional quantum field theories. By examining how unitarity cuts of form factors encode anomalous dimensions we show…

High Energy Physics - Phenomenology · Physics 2020-05-05 Zvi Bern , Julio Parra-Martinez , Eric Sawyer

We apply the recently proposed quantum spectral curve technique to the study of twist operators in planar N=4 SYM theory. We focus on the small spin expansion of anomalous dimensions in the sl(2) sector and compute its first two orders…

High Energy Physics - Theory · Physics 2015-09-14 Nikolay Gromov , Fedor Levkovich-Maslyuk , Grigory Sizov , Saulius Valatka

We present a calculation of the four-loop anomalous dimension of the SU(2) sector Konishi operator in N=4 SYM, as an example of "wrapping" corrections to the known result for long operators. We use the known dilatation operator at four…

High Energy Physics - Theory · Physics 2008-01-11 Cynthia A. Keeler , Nelia Mann

We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find…

High Energy Physics - Theory · Physics 2020-12-02 Tristan McLoughlin , Raul Pereira , Anne Spiering

We examine the relation between supersymmetric localization on $\mathbb{S}^4$ and standard QFT results for non-conformal theories in flat space. Specifically, we consider 1/2 BPS circular Wilson loops in four-dimensional SU($N$)…

High Energy Physics - Theory · Physics 2024-08-14 Marco Billo' , Luca Griguolo , Alessandro Testa

In this paper we will analyse the ABJM theory in harmonic superspace. The harmonic superspace variables will be parameterized by the coset $SU(2)/U(1)$ and thus will have manifest $\mathcal{N} =3$ supersymmetry. We will study the quantum…

High Energy Physics - Theory · Physics 2015-06-05 Mir Faizal

We minimize the one-loop effective potential for SU(N) gauge theories including fermions with finite mass in the fundamental (F), adjoint (Adj), symmetric (S), and antisymmetric (AS) representations. We calculate the phase diagram on S^1 x…

High Energy Physics - Theory · Physics 2009-08-05 Joyce C. Myers , Michael C. Ogilvie

We study worldsheet scattering for the type IIA superstring in AdS(2) x S(2) x T(6). Using the Green--Schwarz action to quartic order in fermions we take the near-BMN limit, where as in the AdS(3)/CFT(2) case there are both massive and…

High Energy Physics - Theory · Physics 2013-10-16 Michael C. Abbott , Jeff Murugan , Per Sundin , Linus Wulff

Anomalous dimensions of high-twist Wilson operators have a nontrivial scaling behavior in the limit when their Lorentz spin grows exponentially with the twist. To describe the corresponding scaling function in planar N=4 SYM theory, we…

High Energy Physics - Theory · Physics 2008-11-26 B. Basso , G. P. Korchemsky

The correlator of a Wilson loop with a local operator in N=4 SYM theory can be represented by a string amplitude in AdS(5)xS(5). This amplitude describes an overlap of the boundary state, which is associated with the loop, with the string…

High Energy Physics - Theory · Physics 2009-11-07 V. Pestun , K. Zarembo

We show that by studying the flat spacetime limit of the Mellin amplitude associated with the four-point correlation function of scalar operators in the stress tensor multiplet of ABJM theory, one can produce the momentum expansion of the…

High Energy Physics - Theory · Physics 2019-06-26 Shai M. Chester , Silviu S. Pufu , Xi Yin

We begin a study of higher-loop corrections to the dilatation generator of N=4 SYM in non-compact sectors. In these sectors, the dilatation generator contains infinitely many interactions, and therefore one expects very complicated…

High Energy Physics - Theory · Physics 2009-11-11 Benjamin I. Zwiebel

We study the stress tensor multiplet four-point function in the 3d maximally supersymmetric ABJ(M) theory with Chern-Simons level $k=2$, which in the large $N$ limit is holographically dual to weakly coupled M-theory on $AdS_4\times…

High Energy Physics - Theory · Physics 2022-02-16 Luis F. Alday , Shai M. Chester , Himanshu Raj

Leading (large) logarithms in non-renormalizable theories have been investigated in the recent past. Besides some general considerations, explicit results for the expansion coefficients (in terms of leading logarithms) of partial wave…

High Energy Physics - Phenomenology · Physics 2018-08-15 B. Ananthanarayan , Shayan Ghosh , Alexey Vladimirov , Daniel Wyler

We take the first step in extending the integrability approach to one-point functions in AdS/dCFT to higher loop orders. More precisely, we argue that the formula encoding all tree-level one-point functions of SU(2) operators in the defect…

High Energy Physics - Theory · Physics 2018-01-03 Isak Buhl-Mortensen , Marius de Leeuw , Asger C. Ipsen , Charlotte Kristjansen , Matthias Wilhelm

In this article we study the action of the one loop dilatation operator on operators with a classical dimension of order N. These operators belong to the su(2) sector and are constructed using two complex fields Y and Z. For these operators…

High Energy Physics - Theory · Physics 2015-06-18 Robert de Mello Koch , Stuart Graham , Ilies Messamah

We study the beta-function of the N=2 sigma-model coupled to N=2 induced supergravity. We compute corrections to first order in the semiclassical limit, $c \to -\infty$, beyond one-loop in the matter fields. As compared to the corresponding…

High Energy Physics - Theory · Physics 2009-10-30 S. Penati , A. Santambrogio , D. Zanon

We study the form factor of a generic gauge-invariant local composite operator in $\mathcal{N}=4$ SYM theory. At tree level and for a minimal number of external on-shell super fields, we find that the form factor precisely yields the…

High Energy Physics - Theory · Physics 2015-03-25 Matthias Wilhelm

Supersymmetric localization reduces the computation of protected observables in ABJM theory to finite-dimensional matrix integrals. Building on the techniques introduced in arXiv:2512.02119, we develop a bootstrap framework for the…

High Energy Physics - Theory · Physics 2026-04-10 Bercel Boldis , Gregory P. Korchemsky , Alessandro Testa

In arXiv:1911.08172 we have studied the single-particle free energy of a class of Little String Theories of A-type, which are engineered by $N$ parallel M5-branes on a circle. To leading instanton order (from the perspective of the low…

High Energy Physics - Theory · Physics 2021-05-19 Stefan Hohenegger