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We consider composite string solutions in N=2 SQCD with the gauge group U(N), the Fayet--Iliopoulos term \xi \neq 0 and N (s)quark flavors. These bulk theories support non-Abelian strings and confined monopoles identified with kinks in the…

High Energy Physics - Theory · Physics 2010-05-12 R. Auzzi , S. Bolognesi , M. Shifman

We consider the dynamics of confined strings embedded in a gapless four-dimensional theory. To this end, we examine finite-tension string-like solutions to the equations of motion of the $\mathbb{C}\mathbb{P}^1$ non-linear sigma model. We…

High Energy Physics - Theory · Physics 2026-02-23 Jeremias Aguilera Damia , Giovanni Galati , Giovanni Rizi

We propose an approach to compute one-loop corrections to the four-point amplitude in the higher spin gravities that are holographically dual to free $O(N)$, $U(N)$ and $USp(N)$ vector models. We compute the double-particle cut of one-loop…

High Energy Physics - Theory · Physics 2020-01-29 Dmitry Ponomarev , Ergin Sezgin , Evgeny Skvortsov

The O(n) spin model in two dimensions may equivalently be formulated as a loop model, and then mapped to a height model which is conjectured to flow under the renormalization group to a conformal field theory (CFT). At the critical point,…

Mathematical Physics · Physics 2007-05-23 Adam Gamsa , John Cardy

We consider certain 1/4 BPS Wilson loop operators in SU(N) ${\cal N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to…

High Energy Physics - Theory · Physics 2016-04-12 Alberto Faraggi , Leopoldo A. Pando Zayas , Guillermo A. Silva , Diego Trancanelli

We present analytic results for the finite diagrams contributing to the two-loop eight-point MHV scattering amplitude of planar N=4 SYM. We use a recently proposed representation for the integrand of the amplitude in terms of (momentum)…

High Energy Physics - Theory · Physics 2011-07-21 Luis F. Alday

We initiate an exploration of on-shell functions in $\mathcal{N}=4$ SYM beyond the planar limit by providing compact, combinatorial expressions for all leading singularities of MHV amplitudes and showing that they can always be expressed as…

High Energy Physics - Theory · Physics 2014-12-31 Nima Arkani-Hamed , Jacob L. Bourjaily , Freddy Cachazo , Alexander Postnikov , Jaroslav Trnka

We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

High Energy Physics - Theory · Physics 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

Motivated by arXiv:1203.5553, we continue to match super string amplitudes with their own effective field theory. We carry out within full details the computations of the complete form of the amplitude of one closed string Ramond-Ramond…

High Energy Physics - Theory · Physics 2013-04-16 Ehsan Hatefi

The four loop universal anomalous dimension of twist-2 operators in N=4 SYM has been recently conjectured. In this paper, we prove that it obeys a generalized Gribov-Lipatov reciprocity, previously known to hold at the three loop level.

High Energy Physics - Theory · Physics 2009-04-02 M. Beccaria , V. Forini

We calculate the one-loop corrections in bispectrum of CMB scale perturbations induced from the small scale modes undergoing an intermediate phase of USR inflation in scenarios employed for PBHs formation. Using the formalism of effective…

Cosmology and Nongalactic Astrophysics · Physics 2024-09-18 Hassan Firouzjahi

We use momentum twistors to evaluate planar loop integrals. Infrared divergences are regulated by the recently proposed AdS-inspired mass regulator. We show that two-loop amplitudes in N=4 super Yang-Mills can be expanded in terms of basis…

High Energy Physics - Theory · Physics 2011-05-26 J. M. Drummond , J. M. Henn

We investigate a class of operators with non-vanishing averages in a D-dimensional matrix model recently proposed by Kazakov and Migdal. Among the operators considered are ``filled Wilson loops" which are the most reasonable counterparts of…

High Energy Physics - Theory · Physics 2009-10-22 I. I. Kogan , A. Morozov , G. W. Semenoff , N. Weiss

We study a complex analogue of a Wilson Loop, defined over a complex curve, in non-Abelian holomorphic Chern-Simons theory. We obtain a version of the Makeenko-Migdal loop equation describing how the expectation value of these Wilson Loops…

High Energy Physics - Theory · Physics 2011-01-10 Mathew Bullimore , David Skinner

In this paper, we describe the generation of the CPT-even, aether-like terms via the new CPT-even magnetic-like coupling. We carry out a study the loop corrections generated by this coupling. Previous investigations has been initiated on…

High Energy Physics - Theory · Physics 2017-11-16 H. Belich , T. Mariz , J. R. Nascimento , A. Yu. Petrov

We generalize earlier results on one-point functions in N = 4 SYM with a co-dimension one defect, dual to the D3-D5-brane setup in type IIB string theory on AdS5xS5, to a similar setup in the $\beta$-deformed version of the theory. The…

High Energy Physics - Theory · Physics 2018-12-05 Erik Widen

We develop a framework combining the higher-twist formalism of exclusive processes in the $s$ channel with the semi-classical effective description of small-$x$ physics in the $t$ channel. We apply it to transversely polarized light vector…

High Energy Physics - Phenomenology · Physics 2024-12-06 Renaud Boussarie , Michael Fucilla , Lech Szymanowski , Samuel Wallon

We propose an operator product expansion for planar form factors of local operators in $\mathcal{N}=4$ SYM theory. This expansion is based on the dual conformal symmetry of these objects or, equivalently, the conformal symmetry of their…

High Energy Physics - Theory · Physics 2021-06-22 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

We show that appropriately supersymmetrized smooth Maldacena-Wilson loop operators in N=4 super Yang-Mills theory are invariant under a Yangian symmetry Y[psu(2,2|4)] built upon the manifest superconformal symmetry algebra of the theory.…

High Energy Physics - Theory · Physics 2015-06-17 Dennis Muller , Hagen Munkler , Jan Plefka , Jonas Pollok , Konstantin Zarembo

We study operator mixing, due to planar one-loop corrections, for composite operators in D=4 supersymmetric theories. We present some N=1,2 Yang-Mills and Wess-Zumino models, in which the planar one-loop anomalous dimension matrix in the…

High Energy Physics - Theory · Physics 2010-04-05 Xiao-Jun Wang , Yong-Shi Wu
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