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A class of correlation functions of half-BPS composite operators are computed exactly (at finite $N$) in the zero coupling limit of N=4 SYM theory. These have a simple dependence on the four-dimensional spacetime coordinates and are related…

High Energy Physics - Theory · Physics 2007-05-23 Steve Corley , Antal Jevicki , Sanjaye Ramgoolam

We study the giant graviton integrated correlator in SU$(N)$ $\mathcal{N}=4$ super Yang-Mills at finite complexified coupling $\tau$. Despite the formidable complexity arising from the heavy nature of the operators considered, the large-$N$…

High Energy Physics - Theory · Physics 2026-03-23 Augustus Brown , Daniele Dorigoni , Congkao Wen

We identify the operators in ${\cal N}=4$ super Yang-Mills theory that correspond to ${1\over 8}$-BPS giant gravitons in AdS$_5\times$S$^5$. Our evidence for the identification comes from (1) counting these operators and showing agreement…

High Energy Physics - Theory · Physics 2018-03-14 Robert de Mello Koch , Lwazi Nkumane

We discuss the gravity dual description for a non-commutative Yang-Mills theory, which reduces to that on AdS_{5} x S_{5} in the commutative limit. It is found that doubletons do not decouple in this dual gravity description unless one…

High Energy Physics - Theory · Physics 2009-11-07 Dan Tomino

We suggest a means of obtaining certain Green's functions in 3+1-dimensional ${\cal N} = 4$ supersymmetric Yang-Mills theory with a large number of colors via non-critical string theory. The non-critical string theory is related to critical…

High Energy Physics - Theory · Physics 2008-11-26 S. S. Gubser , I. R. Klebanov , A. M. Polyakov

We study correlation functions in (0+1)-dimensional maximally supersymmetric U(N) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensional M-theory in the infinite-momentum frame. We perform…

High Energy Physics - Theory · Physics 2015-05-30 Masanori Hanada , Jun Nishimura , Yasuhiro Sekino , Tamiaki Yoneya

We consider two four-dimensional gauge theories with gauge group $SU(N)$: the $\mathcal{N}=4$ Super Yang-Mills (SYM) theory and the $\mathcal{N}=2$ quiver gauge theory obtained as a $\mathbb{Z}_2$ orbifold of $\mathcal{N}=4$ SYM. In this…

High Energy Physics - Theory · Physics 2025-10-15 Lorenzo De Lillo , Alessandro Pini

Using the non-abelian DBI action we find an effective matrix model that describes the dynamics of weakly interacting giant gravitons wrapped on three-spheres in the AdS part of AdS_5 x S^5 at high energies with two angular momenta on the…

High Energy Physics - Theory · Physics 2016-09-07 Troels Harmark

We study the four-point correlator $\langle \mathcal{O}_2 \mathcal{O}_2 \mathcal{D} \mathcal{D} \rangle$ in $\mathcal{N}=4$ super Yang-Mills theory (SYM) with $SU(N)$ gauge group, where $\mathcal{O}_2$ represents the superconformal primary…

High Energy Physics - Theory · Physics 2024-04-10 Augustus Brown , Francesco Galvagno , Congkao Wen

We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT dual in the form of type IIB string theory with AdS_5 X RP^5 geometry. With the aim of studying excited giant graviton…

High Energy Physics - Theory · Physics 2015-06-19 Garreth Kemp

We present a comprehensive two-loop computation of correlation functions involving two maximal giant gravitons and two arbitrary $R$-charge single-trace half-BPS operators in $\mathcal{N}=4$ Super-Yang-Mills theory. By combining the…

High Energy Physics - Theory · Physics 2025-09-30 Yu Wu , Yunfeng Jiang , Chang Liu , Yang Zhang

In this article, subleading (in $1/N$) corrections to the action of the one loop dilatation operator in the su(3) sector of $\mathcal{N}=4$ super Yang-Mills theory are studied. We focus on the system of operators dual to two giant graviton…

High Energy Physics - Theory · Physics 2022-06-17 Chenliang Su

We study the one-loop anomalous dimensions of operators in the ${\cal N}=4$ super Yang-Mills theory that are dual to open strings ending on giant gravitons. We consider both AdS and sphere giants as well as boundstates of them. The open…

High Energy Physics - Theory · Physics 2009-01-30 Robert de Mello Koch , Jelena Smolic , Milena Smolic

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

The superconformal index of $\mathcal N=4$ super-Yang Mills theory with $U(N)$ gauge group can be written as a matrix integral over the gauge group. Recently, Murthy demonstrated that this integral can be reexpressed as a sum of terms…

High Energy Physics - Theory · Physics 2023-05-10 James T. Liu , Neville Joshua Rajappa

It is argued that N=6 supergravity on $AdS_5$, with gauge group $SU(3)\times U(1)$ corresponds, at the classical level, to a subsector of the ``chiral'' primary operators of N=4 Yang-Mills theories. This projection involves a ``duality…

High Energy Physics - Theory · Physics 2007-05-23 S. Ferrara , M. Porrati , A. Zaffaroni

In this article, the free field theory limit of operators dual to giant gravitons with open strings attached are studied. We introduce a graphical notation, which employs Young diagrams, for these operators. The computation of two point…

High Energy Physics - Theory · Physics 2010-10-27 Robert de Mello Koch , Jelena Smolic , Milena Smolic

We study gravity duals of the minimal $N=2$ super Yang-Mills (SYM) gauge theories in five dimensions using the matter coupled $F(4)$ gauged supergravity in six dimensions. The $F(4)$ gauged supergravity coupled to $n$ vector multiplets…

High Energy Physics - Theory · Physics 2014-11-05 Parinya Karndumri

In this note we study half-BPS operators in N=4 super Yang-Mills for gauge group SU(N) at finite N. In particular we elaborate on the results of hep-th/0410236, providing an exact formula for the null basis operators algorithmically…

High Energy Physics - Theory · Physics 2009-01-16 T. W. Brown

We consider supersymmetric gauge theories on $S^5$ with a negative Yang-Mills coupling in their large $N$ limits. Using localization we compute the partition functions and show that the pure ${\mathrm{SU}}(N)$ gauge theory descends to an…

High Energy Physics - Theory · Physics 2021-03-17 Joseph A. Minahan , Anton Nedelin
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