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We confirm by explicit computation the conjectured all-orders iteration of planar maximally supersymmetric N=4 Yang-Mills theory in the nontrivial case of five-point two-loop amplitudes. We compute the required unitarity cuts of the…

High Energy Physics - Theory · Physics 2008-11-26 Z. Bern , M. Czakon , D. A. Kosower , R. Roiban , V. A. Smirnov

We review some recent developments on BPS string solutions and monopole confinement in the Higgs or (color) superconducting phase of deformed N=2 and N=4 super Yang-Mills theories. In particular, the monopole magnetic fluxes are shown to be…

High Energy Physics - Theory · Physics 2007-05-23 Marco A. C. Kneipp

We show that a solution of the type IIB supergravity representing D3-branes in the presence of a 2-form background has 16 supersymmetries by explicitly constructing the transformation parameter of unbroken supersymmetry. This solution is…

High Energy Physics - Theory · Physics 2010-04-05 Madoka Nishimura

This article contains an overview of some recent attempts at understanding supergravity and string duals of four dimensional gauge theories using the AdS/CFT correspondence. We discuss the general philosophy underlying the various ways to…

High Energy Physics - Theory · Physics 2008-11-26 F. Bigazzi , A. L. Cotrone , M. Petrini , A. Zaffaroni

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 consider the (1,0) supersymmetric Yang-Mills multiplet coupled to a self-dual tensor multiplet in six dimensions. It is shown that the counterterm required to cancel the one-loop gauge anomaly modifies the classical equations of motion…

High Energy Physics - Theory · Physics 2009-10-31 P. S. Howe , E. Sezgin

We study supervertices in six dimensional (2,0) supergravity theories, and derive supersymmetry non-renormalization conditions on the 4- and 6-derivative four-point couplings of tensor multiplets. As an application, we obtain exact…

High Energy Physics - Theory · Physics 2016-01-27 Ying-Hsuan Lin , Shu-Heng Shao , Yifan Wang , Xi Yin

We give a detailed Operator Product Expansion interpretation of the results for conformal 4-point functions computed from supergravity through the AdS/CFT duality. We show that for an arbitrary scalar exchange in AdS(d+1) all the…

High Energy Physics - Theory · Physics 2011-08-17 Eric D'Hoker , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We explore the idea that large $N$, non-supersymmetric conformal field theories with a parametrically large gap to higher spin single-trace operators may be obtained as infrared fixed points of relevant double-trace deformations of…

High Energy Physics - Theory · Physics 2018-04-04 Simone Giombi , Eric Perlmutter

We analyze the $N \to \infty $ limit of supersymmetric Yang-Mills quantum mechanics (SYMQM) in two spacetime dimensions. To do so we introduce a particular class of SU(N) invariant polynomials and give the solutions of 2D SYMQM in terms of…

High Energy Physics - Theory · Physics 2008-11-26 Maciej Trzetrzelewski

Starting from the Maldacena-Nunez supergravity dual of N=1 super Yang-Mills theory we study the inclusion of a supersymmetry breaking gaugino mass term. We consider a class of non supersymmetric deformations of the MN solutions which have…

High Energy Physics - Theory · Physics 2009-11-07 N. Evans , M. Petrini , A. Zaffaroni

We consistently incorporate Yang Mills matter fields into string corrected (deformed), D=10, N=1 Supergravity. We solve the Bianchi identities within the framework of the modified beta function favored constraints to second order in the…

High Energy Physics - Theory · Physics 2010-11-15 S. Bellucci , D. O'Reilly

We consider compactifications of the matrix model of M-theory on $S^1/Z_2\times T^d$ for $d>0$, and interpret them as orbifolds of the supersymmetric U(N) Yang-Mills theory on $R\times T^{d+1}$. The orbifold group acts both on the gauge…

High Energy Physics - Theory · Physics 2016-09-06 Petr Horava

The use of supersymmetric localisation has recently led to modular covariant expressions for certain integrated correlators of half-BPS operators in $\mathcal{N} = 4$ supersymmetric Yang-Mills theory with a general classical gauge group…

High Energy Physics - Theory · Physics 2023-05-10 Daniele Dorigoni , Michael B. Green , Congkao Wen , Haitian Xie

Basso, Komatsu and Vieira recently proposed an all-loop framework for the computation of three-point functions of single-trace operators of ${\cal N}=4$ super-Yang-Mills, the "hexagon program". This proposal results in several remarkable…

High Energy Physics - Theory · Physics 2016-03-23 Burkhard Eden , Alessandro Sfondrini

Chiral primary operators annihilated by a quarter of the supercharges are constructed in the four dimensional N=4 Super-Yang-Mills theory with gauge group SU(N). These quarter-BPS operators share many non-renormalization properties with the…

High Energy Physics - Theory · Physics 2014-11-18 Anton V. Ryzhov

We compute four-point functions with two maximal giant gravitons and two chiral primary operators at three-loop order in planar $\mathcal{N}=4$ Super-Yang-Mills theory. The Lagrangian insertion method, together with symmetries of the theory…

High Energy Physics - Theory · Physics 2023-12-12 Yunfeng Jiang , Yu Wu , Yang Zhang

We study supersymmetry of N=4 super Yang-Mills theory in four dimensions deformed in the Omega-background. We take the Nekrasov-Shatashvili limit of the background so that two-dimensional super Poincare symmetry is recovered. We compute the…

High Energy Physics - Theory · Physics 2016-01-20 Katsushi Ito , Yusuke Kanayama , Hiroaki Nakajima , Shin Sasaki

We consider supergravity configuration of D5 branes wrapped on supersymmetric 2-cycles and use it to calculate one-point and two-point Green functions of some special operators in N=2 super Yang-Mills theory. We show that Green functions…

High Energy Physics - Theory · Physics 2009-11-07 Xiao-Jun Wang , Seng Hu

We classify the 3-point functions of local gauge-invariant single-trace operators in the scalar sector of planar N=4 supersymmetric Yang-Mills involving at least one su(3) operator. In the case of two su(3) and one su(2) operators, the…

High Energy Physics - Theory · Physics 2013-11-08 Omar Foda , Yunfeng Jiang , Ivan Kostov , Didina Serban
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