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We study a class of near-BPS operators for a complex 2-parameter family of N=1 superconformal Yang-Mills theories that can be obtained by a Leigh-Strassler deformation of N=4 SYM theory. We identify these operators in the large N and large…

High Energy Physics - Theory · Physics 2009-11-07 Vasilis Niarchos , Nikolaos Prezas

We study the gauge transformation of the recently computed one-loop four-point function of {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). The contributions from nonplanar diagrams are not gauge invariant. We compute…

High Energy Physics - Theory · Physics 2009-10-31 Mario Pernici , Alberto Santambrogio , Daniela Zanon

We consider the highest anomalous dimension operator in the SU(2) sector of planar ${\cal N}=4$ SYM at all-loop, though neglecting wrapping contributions. In any case, the latter enter the loop expansion only after a precise…

High Energy Physics - Theory · Physics 2008-11-26 Davide Fioravanti , Marco Rossi

We consider a supersymmetric matrix quantum mechanics. This is obtained by adding Myers and mass terms to the dimensional reduction of 4d N=1 super Yang-Mills theory to one dimension. Using this model we construct 4d N=1 super Yang-Mills…

High Energy Physics - Theory · Physics 2013-05-29 Masanori Hanada , Lorenzo Mannelli , Yoshinori Matsuo

Anomalous superconformal Ward identities and commutator algebra in N = 1 super-Yang-Mills theory give rise to constraints between the QCD special conformal anomalies of conformal composite operators. We evaluate the superconformal anomalies…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

We derive an infinite sequence of Schwinger-Dyson equations for $N=1$ supersymmetric Yang-Mills theory. The fundamental and the only variable employed is the Wilson-loop geometrically represented in $N=1$ superspace: it organizes an…

High Energy Physics - Theory · Physics 2009-10-30 H. Itoyama , H. Takashino

The metric of a spacetime with a parallel plane (pp)-wave can be obtained in a certain limit of the space AdS^5xS^5. According to the AdS/CFT correspondence, the holographic dual of superstring theory on that background should be the…

High Energy Physics - Theory · Physics 2010-04-05 C. Kristjansen , J. Plefka , G. W. Semenoff , M. Staudacher

We compute the one-loop four-point function in {\cal N}=4 supersymmetric Yang-Mills theory with gauge group U(N). We perform the calculation in {\cal N}=1 superspace using the background field method and obtain the complete off-shell…

High Energy Physics - Theory · Physics 2009-10-31 Alberto Santambrogio , Daniela Zanon

We consider N=1 supersymmetric Yang-Mills theory with fundamental matter in the large-N_c approximation in 1+1 dimensions. We add a Chern-Simons term to give the adjoint partons a mass and solve for the meson bound states. Here mesons are…

High Energy Physics - Phenomenology · Physics 2015-06-25 J. R. Hiller , S. S. Pinsky , U. Trittmann

We present a method to compute the integrands of one-loop Einstein-Yang-Mills amplitudes for any number of external gauge and gravity multiplets. Our construction relies on the double-copy structure of Einstein-Yang-Mills as…

High Energy Physics - Theory · Physics 2023-03-01 Franziska Porkert , Oliver Schlotterer

Maximally supersymmetric Yang--Mills theory (N=4 SYM) is conformal for any value of the coupling. Lattice regularization breaks conformality through the introduction of a non-zero lattice spacing and a finite lattice volume. This…

High Energy Physics - Lattice · Physics 2023-04-11 David Schaich

Recently, it has been shown that the holomorphic anomaly of unitarity cuts can be used as a tool in determining the one-loop amplitudes in N=4 super Yang-Mills theory. It is interesting to examine whether this method can be applied to more…

High Energy Physics - Theory · Physics 2010-11-15 Steven J. Bidder , N. E. J. Bjerrum-Bohr , Lance J. Dixon , David C. Dunbar

BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive…

High Energy Physics - Theory · Physics 2020-07-15 Simone Giombi , Shota Komatsu

It is known that the Yangian of PSU(2,2|4) is a symmetry of the tree-level S-matrix of N=4 super Yang-Mills. On the other hand, the complete one-loop dilatation operator in the same theory commutes with the level-one Yangian generators only…

High Energy Physics - Theory · Physics 2015-10-07 Andreas Brandhuber , Paul Heslop , Gabriele Travaglini , Donovan Young

Quantum correlators of pure supersymmetric Yang-Mills theories in D=3,4,6 and 10 dimensions can be reformulated via the non-linear and non-local transformation (`Nicolai map') that maps the full functional measure of the interacting theory…

High Energy Physics - Theory · Physics 2020-07-01 Hermann Nicolai , Jan Plefka

We introduce a novel way to perform high-order computations in multi-Regge-kinematics in planar N=4 supersymmetric Yang-Mills theory and generalize the existing factorization into building blocks at two loops to all loop orders. Afterwards,…

The planar scattering amplitudes of $\mathcal{N} = 4$ super-Yang--Mills theory display symmetries and structures which underlie their relatively simple analytic properties such as having only logarithmic singularities and no poles at…

High Energy Physics - Theory · Physics 2018-09-26 Zvi Bern , Michael Enciso , Chia-Hsien Shen , Mao Zeng

We compute the complete non-planar integrand for the correlation function of four lightest scalar operators in N=4 super Yang-Mills theory at five-loop order. This is equivalent to the super-correlator of nine stress-tensor multiplets in…

High Energy Physics - Theory · Physics 2025-12-11 Till Bargheer , Albert Bekov

We consider the ${\cal N}=2$ supersymmetric theory of the massive Yang-Mills field formulated in the ${\cal N}=2$ harmonic superspace. The various gauge-invariant forms of writing the mass term in the action (in particular, using the…

High Energy Physics - Theory · Physics 2008-12-18 I. L. Buchbinder , N. G. Pletnev

We consider a semiclassical multiwrapped circular string pulsating on S_5, whose center of mass has angular momentum J on an S_3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator…

High Energy Physics - Theory · Physics 2010-02-03 J. Engquist , J. A. Minahan , K. Zarembo