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We develop a compact representation of the one-loop n-point functions of all chiral primary operators in planar SU(N), N=4 super Yang-Mills theory in terms of tree-level disk correlation functions and the scalar one-loop box integral. As a…

高能物理 - 理论 · 物理学 2011-06-24 Nadav Drukker , Jan Plefka

The N = 2, 4 superconformal symmetry constraints in d = 4 for four point functions of chiral primary 1/2-BPS operators are derived. The operators are described by symmetric traceless tensors of the internal R-symmetry group. A substantial…

高能物理 - 理论 · 物理学 2017-06-06 Michael Nirschl

We compute two-point functions of chiral operators Tr \Phi^3 in {\cal N}=4 SU(N) supersymmetric Yang-Mills theory to the order g^4 in perturbation theory. We perform explicit calculations using {\cal N}=1 superspace techniques and find that…

高能物理 - 理论 · 物理学 2010-02-03 S. Penati , A. Santambrogio , D. Zanon

Three-point functions of analytic (chiral primary) operators in N=4 Yang-Mills theory in four dimensions are calculated using the harmonic superspace formulation of this theory. In the case of the energy-momentum tensor multiplet anomaly…

高能物理 - 理论 · 物理学 2009-10-31 P. S. Howe , E. Sokatchev , P. C. West

We study four-point correlation functions of half-BPS operators of arbitrary weight for all dimensions d=3,4,5,6 where superconformal theories exist. Using harmonic superspace techniques, we derive the superconformal Ward identities for…

高能物理 - 理论 · 物理学 2008-11-26 Francis A. Dolan , Laurent Gallot , Emery Sokatchev

We perform a systematic study of integrated four-point functions of half-BPS operators in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory with gauge group $SU(N)$. These observables, defined by a certain spacetime integral of…

高能物理 - 理论 · 物理学 2023-02-15 Hynek Paul , Eric Perlmutter , Himanshu Raj

We study the exchange diagrams in the computation of four-point functions of all chiral primary operators in D=4, $\mathcal{N}=4$ Super-Yang-Mills using AdS/CFT correspondence. We identify all supergravity fields that can be exchanged and…

高能物理 - 理论 · 物理学 2017-09-07 Sangmin Lee

The quartic effective action for Kaluza-Klein modes that arises upon compactification of type IIB supergravity on the five-sphere S^5 is a starting point for computing the four-point correlation functions of arbitrary weight 1/2-BPS…

高能物理 - 理论 · 物理学 2017-04-26 Gleb Arutyunov , Sergey Frolov , Rob Klabbers , Sergei Savin

We study four-point correlation functions of 1/2-BPS operators in N=4 SYM which are dual to massive KK modes in AdS_5 supergravity. On the field theory side, the procedure of inserting the SYM action yields partial non-renormalisation of…

高能物理 - 理论 · 物理学 2010-04-05 G. Arutyunov , F. A. Dolan , H. Osborn , E. Sokatchev

Two- and three-point correlation functions of arbitrary protected operators are constructed in N=4 SYM using analytic superspace methods. The OPEs of two chiral primary multiplets are given. It is shown that the $n$-point functions of…

高能物理 - 理论 · 物理学 2009-11-07 P. J. Heslop , P. S. Howe

We study the two-point correlation functions of chiral/anti-chiral operators in $N=2$ supersymmetric Yang-Mills theories on $R^4$ with gauge group SU(N) and $N_f$ massless hypermultiplets in the fundamental representation. We compute them…

高能物理 - 理论 · 物理学 2019-06-26 M. Billo , F. Fucito , G. P. Korchemsky , A. Lerda , J. F. Morales

We give a general analysis of OPEs of 1/2 BPS superfield operators for the $D=3,4,5,6$ superconformal algebras OSp(8/4,R), PSU(2,2), F${}_4$ and OSp($8^*/4$) which underlie maximal AdS supergravity in $4\leq D+1\leq 7$. \\ The corresponding…

高能物理 - 理论 · 物理学 2008-11-26 Sergio Ferrara , Emery Sokatchev

We study the correlator of chiral primary operators in $\Ncal$=4 super Yang-Mills theory in large $N$ limit. Through the free fermion picture, we map the gauge group rank and R-charges in SYM to the Fermi level and tachyon momenta,…

高能物理 - 理论 · 物理学 2008-11-26 Ta-Sheng Tai

A new derivation is given of four-point functions of charge $Q$ chiral primary multiplets in N=4 supersymmetric Yang-Mills theory. A compact formula, valid for arbitrary $Q$, is given which is manifestly superconformal and analytic in the…

高能物理 - 理论 · 物理学 2009-11-07 P. J. Heslop , P. S. Howe

We study half-BPS surface operators in supersymmetric gauge theories in four and five dimensions following two different approaches. In the first approach we analyze the chiral ring equations for certain quiver theories in two and three…

高能物理 - 理论 · 物理学 2018-01-17 S. K. Ashok , M. Billo , E. Dell'Aquila , M. Frau , V. Gupta , R. R. John , A. Lerda

We study the three-point functions between two BPS and one non-BPS local gauge invariant operators in N=4 Super Yang-Mills theory. In particular we show, in explicit 1-loop examples, that the operator mixing discussed in arXiv:0810.0499…

高能物理 - 理论 · 物理学 2014-11-20 George Georgiou , Valeria L. Gili , Rodolfo Russo

We introduce a novel harmonic superspace for $3d$ $\mathcal{N}=6$ superconformal field theories that is tailor made for the study of correlation functions of BPS operators. We calculate a host of two- and three-point functions in full…

高能物理 - 理论 · 物理学 2016-08-24 Pedro Liendo , Carlo Meneghelli , Vladimir Mitev

We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS${}_5 \times S^5$. These single-particle operators are defined to…

高能物理 - 理论 · 物理学 2021-03-17 F. Aprile , J. M. Drummond , P. Heslop , H. Paul , F. Sanfilippo , M. Santagata , A. Stewart

In this note we prove a non-renormalization theorem for the 3-point functions of 1/2 BPS primaries in the four-dimensional N = 4 SYM and chiral primaries in two dimensional N =(4,4) SCFTs. Our proof is rather elementary: it is based on Ward…

高能物理 - 理论 · 物理学 2012-08-01 Marco Baggio , Jan de Boer , Kyriakos Papadodimas

The free field partition function for a generic U(N) gauge theory, where the fundamental fields transform in the adjoint representation, is analysed in terms of symmetric polynomial techniques. It is shown by these means how this is related…

高能物理 - 理论 · 物理学 2008-11-26 F. A. Dolan