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In this article we compute the anomalous dimensions for a class of operators, belonging to the SU(3) sector of the theory, that have a bare dimension of order N. For these operators the large N limit and the planar limit are distinct and…

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

Using symmetry properties, we determine the mixing pattern of a class of nonlocal quark bilinear operators containing a straight Wilson line along a spatial direction. We confirm the previous study that mixing among the lowest dimensional…

High Energy Physics - Lattice · Physics 2019-07-22 Jiunn-Wei Chen , Tomomi Ishikawa , Luchang Jin , Huey-Wen Lin , Jian-Hui Zhang , Yong Zhao

We study the mixing problem of the determinant like operators in ABJM theory to two loop order in the scalar sector. The gravity duals of these operators are open strings attached to the maximal giant graviton, which is a D4-brane wrapping…

High Energy Physics - Theory · Physics 2020-04-23 Hui-Huang Chen , Hao Ouyang , Jun-Bao Wu

In the framework of the semiclassical approach, we compute the normalized structure constants in three-point correlation functions, when two of the vertex operators correspond to heavy string states, while the third vertex corresponds to a…

High Energy Physics - Theory · Physics 2011-10-06 Plamen Bozhilov

We construct $(p,q)$ string junction solutions suspended between both sphere and AdS giant gravitons in $AdS_5\times S^5$. Our results extend easily to more general half BPS geometries of LLM type. These carry angular momentum in the…

High Energy Physics - Theory · Physics 2022-11-30 David Berenstein , Adolfo Holguin

We present a complete basis of multi-trace multi-matrix operators that has a diagonal two point function for the free matrix field theory at finite N. This generalises to multiple matrices the single matrix diagonalisation by Schur…

High Energy Physics - Theory · Physics 2009-01-16 T. W. Brown , P. J. Heslop , S. Ramgoolam

A new approach to the computation of correlation functions involving two determinant operators as well as one non-protected single trace operator has recently been developed by Jiang, Komatsu and Vescovi. This correlation function provides…

High Energy Physics - Theory · Physics 2020-01-08 Gaoli Chen , Robert de Mello Koch , Minkyoo Kim , Hendrik J. R. Van Zyl

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of…

High Energy Physics - Theory · Physics 2009-11-11 Diego H. Correa , Guillermo A. Silva

Monopole operators are studied in a large family of quantum critical points between Dirac and topological quantum spin liquids (QSLs): chiral and Z$_{2}$ QSLs. These quantum phase transitions are described by conformal field theories…

Strongly Correlated Electrons · Physics 2022-10-26 Éric Dupuis , Rufus Boyack , William Witczak-Krempa

We construct consistent interacting gauge theories for M conformal massless spin-2 fields ("Weyl gravitons") with the following properties: (i) in the free limit, each field fulfills the equation ${\cal B}^{\mu \nu} = 0$, where ${\cal…

High Energy Physics - Theory · Physics 2009-11-07 Nicolas Boulanger , Marc Henneaux , Peter van Nieuwenhuizen

This thesis investigates the interactions of partially massless (PM) fields in 4-dimensional (anti)de Sitter spaces, along with conformal higher spin fields and their coupling to matter in arbitrary dimensions. The first part of the thesis…

High Energy Physics - Theory · Physics 2026-02-03 Shailesh Dhasmana

In d=2+1 dimensions, there exist field theories which are non-relativistic and superconformal. These theories describe two species of anyons, whose spins differ by 1/2, interacting in a harmonic trap. We compute the dimensions of chiral…

High Energy Physics - Theory · Physics 2016-02-17 Nima Doroud , David Tong , Carl Turner

We study gauge theory operators which take the form of a product of a trace with a Schur polynomial, and their string theory duals. These states represent strings excited on bubbling AdS geometries which are dual to the Schur polynomials.…

High Energy Physics - Theory · Physics 2021-05-05 Hai Lin , Alexander Morisse , Jonathan P. Shock

The resummation of soft gluon exchange for QCD hard scattering requires a matrix of anomalous dimensions. We compute this matrix directly for arbitrary 2 to n massless processes for the first time at two loops. Using color generator…

High Energy Physics - Phenomenology · Physics 2009-04-06 S. Mert Aybat , Lance J. Dixon , George Sterman

{}From the one-loop effective potential for a gas of non-relativistic bosons in two spatial dimensions interacting via a delta-function potential at zero-temperature and finite chemical potential, the anomaly of the energy-momentum tensor…

High Energy Physics - Theory · Physics 2009-10-22 T. Haugset , F. Ravndal

We construct the giant graviton on AdS_{4} x CP^{3} out of a four-brane embedded in and moving on the complex projective space. This configuration is dual to the totally anti-symmetric Schur polynomial operator \chi_{R}(A_{1}B_{1}) in the…

High Energy Physics - Theory · Physics 2015-05-30 Dino Giovannoni , Jeff Murugan , Andrea Prinsloo

A prescription is given for computing anomalous dimensions of single trace operators in SYM at strong coupling and large $N$ using a reduced model of matrix quantum mechanics. The method involves treating some parts of the operators as "BPS…

High Energy Physics - Theory · Physics 2010-10-27 Samuel E. Vazquez

In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these points. It was observed earlier that a certain quadratic…

High Energy Physics - Theory · Physics 2025-06-06 A. N. Manashov , S. Moch , L. A. Shumilov

(Quasi)conformal scaling of composite operators from a strongly coupled EWSB dynamics helps to produce the characteristic hierarchies exhibited by the flavour couplings of the SM. It is however crucial to ensure that specific models satisfy…

High Energy Physics - Lattice · Physics 2013-11-19 Luigi Del Debbio , Liam Keegan , Carlos Pena

The (4,0) supermultiplet in 6 dimensions contains a 4th rank tensor gauge field with the symmetries of the Riemann tensor and is superconformal, with 32+32 supersymmetries. Dimensional reduction on a circle gives the 5D N=8 supergravity…

High Energy Physics - Theory · Physics 2022-09-26 Chris Hull