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Recent advances in string theory have highlighted the need for reliable numerical methods to calculate correlators at strong coupling in supersymmetric theories. We present a calculation of the correlator <0|T^{++}(r)T^{++}(0)|0> in N=1 SYM…

高能物理 - 理论 · 物理学 2009-11-07 J. R. Hiller , S. Pinsky , U. Trittmann

Multi-trace scalar operators in the (0,k,0) representations of SU(4)_R share many properties with their single-trace analogs. These multi-trace operators are primary fields of short representations of the N=4 superconformal group. Thus,…

高能物理 - 理论 · 物理学 2016-08-25 Witold Skiba

The formulation of the non-linear sigma model in terms of flat connection allows the construction of a perturbative solution of a local functional equation encoding the underlying gauge symmetry. In this paper we discuss some properties of…

高能物理 - 理论 · 物理学 2009-11-11 Ruggero Ferrari , Andrea Quadri

Recently there has been progress on the computation of two- and three-point correlation functions with two "heavy" states via semiclassical methods. We extend this analysis to the case of AdS_4 x CP^3, and examine the suggested procedure…

高能物理 - 理论 · 物理学 2011-03-22 D. Arnaudov , R. C. Rashkov

Certain power-counting non-renormalizable theories, including the most general self-interacting scalar fields in four and three dimensions and fermions in two dimensions, have a simplified renormalization structure. For example, in…

高能物理 - 理论 · 物理学 2009-11-11 Damiano Anselmi

We give the correct analytic expression of a finite integral appearing in the four-loop computation of the renormalization-group functions for the two-dimensional nonlinear sigma-model on the square lattice with standard action, explaining…

高能物理 - 格点 · 物理学 2009-10-31 B. Alles , S. Caracciolo , A. Pelissetto , M. Pepe

We study four-point correlation functions of the stress-tensor multiplet in $\mathcal{N} = 4$ super Yang-Mills (sYM) theory by leveraging integrability and localization techniques. We combine dispersive sum rules and spectral information…

高能物理 - 理论 · 物理学 2024-12-03 Simon Caron-Huot , Frank Coronado , Zahra Zahraee

In the present paper we study SU(N)->S(U(N/2)xU(N/2)) symmetry breaking in N=4 SYM via AdS/CFT correspondence. We consider two stacks of N/2 parallel D3 branes separated by a distance 2\vec d. In this case there is mixing between the…

高能物理 - 理论 · 物理学 2009-10-31 R. C. Rashkov , K. S. Viswanathan

We study the consistency of four-point functions of half-BPS chiral primary operators of weight p in four-dimensional N=4 superconformal field theories. The resulting conformal bootstrap equations impose non-trivial bounds for the scaling…

高能物理 - 理论 · 物理学 2015-06-19 Luis F. Alday , Agnese Bissi

We compute the conformal anomaly of free d=6 superconformal (2,0) tensor multiplet on generic curved background. Up to a trivial covariant total-derivative term, it is given by the sum of the type A part proportional to the 6-d Euler…

高能物理 - 理论 · 物理学 2009-10-31 F. Bastianelli , S. Frolov , A. A. Tseytlin

We present a constructive derivation of holographic four-point correlators of arbitrary half-BPS operators for all maximally supersymmetric conformal field theories in $d>2$. This includes holographic correlators in 3d ${\cal N}=8$ ABJM…

高能物理 - 理论 · 物理学 2021-03-24 Luis F. Alday , Xinan Zhou

Energy correlators provide a powerful observable to study fragmentation dynamics in QCD. We demonstrate that the leading nonperturbative corrections for projected $N$-point energy correlators are described by the same universal parameter…

高能物理 - 唯象学 · 物理学 2024-12-12 Kyle Lee , Aditya Pathak , Iain Stewart , Zhiquan Sun

We find an asymptotic solution for two-, three- and multi-point correlators of local gauge-invariant operators, in a lower-spin sector of massless large-$N$ $QCD$, in terms of glueball and meson propagators, in such a way that the solution…

高能物理 - 理论 · 物理学 2014-11-25 Marco Bochicchio

We present exact expressions for certain integrated correlators of four superconformal primary operators in the stress tensor multiplet of $\mathcal{N}=4$ supersymmetric Yang--Mills (SYM) theory with classical gauge group, $G_N$ $= SO(2N)$,…

高能物理 - 理论 · 物理学 2022-10-12 Daniele Dorigoni , Michael B. Green , Congkao Wen

The D theory is a $\mathcal{N}=2$ conformal SYM theory in four dimensions with gauge group SU($N$), four matter hypermultiplets in the fundamental and two in the anti-symmetric representation, and a flavor symmetry that contains a U(4)…

高能物理 - 理论 · 物理学 2024-11-08 M. Billo , M. Frau , A. Lerda , A. Pini , P. Vallarino

We study higher-derivative corrections to the graviton scattering amplitude in M-theory, via the stress tensor correlator of 3d $\mathcal{N} =8$ $\text{U}(N)_k\times \text{U}(N)_{-k}$ ABJM theory (dual to graviton scattering in M-theory on…

高能物理 - 理论 · 物理学 2024-12-19 Shai M. Chester , Ross Dempsey , Silviu S. Pufu

We propose a quasi-local stress tensor for the four-dimensional asymptotically flat Robinson-Trautman geometries by taking the flat-space limit from the corresponding asymptotically AdS solutions. This stress tensor results in the correct…

高能物理 - 理论 · 物理学 2020-01-08 Reza Fareghbal , Isa Mohammadi

The OPE of two N=2 R-symmetry current (short) multiplets is determined by the possible superspace three-point functions that two such multiplets can form with a third, a priori long multiplet. We show that the shortness conditions on the…

高能物理 - 理论 · 物理学 2009-11-07 G. Arutyunov , B. Eden , E. Sokatchev

Integrated correlation functions in $\mathcal{N}=4$ supersymmetric Yang--Mills theory with gauge group $SU(N)$ can be expressed in terms of the localised $S^4$ partition function, $Z_N$, deformed by a mass $m$. Two such cases are…

高能物理 - 理论 · 物理学 2023-10-20 Luis F. Alday , Shai M. Chester , Daniele Dorigoni , Michael B. Green , Congkao Wen

We compute the four-loop beta functions of short and long-range multi scalar models with general sextic interactions and complex fields. We then specialize the beta functions to a $U(N)^3$ symmetry and study the renormalization group at…

高能物理 - 理论 · 物理学 2022-10-10 Sabine Harribey