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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

Correlators of Wilson loop operators with O_4=Tr(F_{\mu\nu}^2+...) are computed in N=4 super-Yang-Mills theory using the AdS/CFT correspondence. The results are compared with the leading order perturbative computations. As a consequence of…

高能物理 - 理论 · 物理学 2009-10-31 J. Erickson , G. W. Semenoff , K. Zarembo

We consider on one hand the possibility that a supersymmetric ${\cal N}=1$ conformal gauge theory has a strongly coupled locus on the conformal manifold at which a different, dual, conformal gauge theory becomes a good weakly coupled…

高能物理 - 理论 · 物理学 2022-02-01 Shlomo S. Razamat , Gabi Zafrir

We consider mixed four-point correlators of 1/2-BPS operators $\mathcal{O}_{k}$ in the maximally supersymmetric CFTs, i.e. the 3d $\mathcal{N}=8$, 4d $\mathcal{N}=4$, and 6d $\mathcal{N}=(2,0)$ theories. In arXiv:hep-th/0405180, Dolan,…

高能物理 - 理论 · 物理学 2026-02-19 Mitchell Woolley

The numerical conformal bootstrap is used to study mixed correlators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in $d=4$ spacetime dimensions. Systems of four-point functions involving scalar chiral and real operators are…

高能物理 - 理论 · 物理学 2017-08-02 Daliang Li , David Meltzer , Andreas Stergiou

Let $C$ be an arrangement of affine hyperplanes in a complex affine space $X$, $D$ the ring of algebraic differential operators on $X$. We define a category of quivers associated with $C$. A quiver is a collection of vector spaces, attached…

量子代数 · 数学 2007-05-23 S. Khoroshkin , A. Varchenko

We compute exact 2- and 3-point functions of chiral primaries in four-dimensional N=2 superconformal field theories, including all perturbative and instanton contributions. We demonstrate that these correlation functions are nontrivial and…

高能物理 - 理论 · 物理学 2015-06-22 Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas

We study the 1/2 BPS circular Wilson loop in four-dimensional SU(N), $N = 2$ SYM theories with massless hypermultiplets and non-vanishing $\beta$-function. Using super-symmetric localization on $S_4$ , we map the path-integral associated…

高能物理 - 理论 · 物理学 2024-10-22 Marco Billo' , Luca Griguolo , Alessandro Testa

We construct supersymmetric fermionic Wilson loops along general curves in four-dimensional $\mathcal{N}=4$ super Yang-Mills theory and along general planar curves in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory. These…

高能物理 - 理论 · 物理学 2024-05-01 Hao Ouyang , Jun-Bao Wu

We apply localization techniques to topologically $A$-twisted $\mathcal{N}=(2,2)$ supersymmetric theories of vector and chiral multiplets on $S^{2}$ and derive a novel exact formula for abelian observables, described by a distribution…

高能物理 - 理论 · 物理学 2026-04-15 Emil Hakan Leeb-Lundberg

We calculate the four point correlation function for scalar perturbations in the canonical model of slow-roll inflation. We work in the leading slow-roll approximation where the calculation can be done in de Sitter space. Our calculation…

高能物理 - 理论 · 物理学 2014-10-14 Archisman Ghosh , Nilay Kundu , Suvrat Raju , Sandip P. Trivedi

A conformal invariant QED-inspired model is solved for a general covariant linear gauge using the Dyson-Schwinger equations for the propagators assuming a pure vector like interaction. The leading corrections to the asymptotic solutions and…

高能物理 - 理论 · 物理学 2024-08-27 O Oliveira , T Frederico , W de Paula

The problem of finding a point in the intersection of closed sets can be solved by the method of alternating projections and its variants. It was shown in earlier papers that for convex sets, the strategy of using quadratic programming (QP)…

最优化与控制 · 数学 2015-06-30 C. H. Jeffrey Pang

In recent work we began a study of the correlators of multiple light-like Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory, focussing primarily on tree-level calculations and, beyond tree-level, to the Abelian theory. Here we…

高能物理 - 理论 · 物理学 2026-02-02 James Drummond , Matthew Rochford , Rowan Wright

The spectrum of chiral operators in supersymmetric quiver gauge theories is typically much larger in the free limit, where the superpotential terms vanish. We find that the finite N counting of operators in any free quiver theory, with a…

高能物理 - 理论 · 物理学 2015-06-12 Jurgis Pasukonis , Sanjaye Ramgoolam

We use a combination of perturbation theory, holography, supersymmetric localization, integrability, and numerical conformal bootstrap methods to constrain the energy-energy correlator in $\text{SU}(N_c)$ ${\mathcal N}=4$ SYM at finite…

高能物理 - 理论 · 物理学 2025-12-12 Ross Dempsey , Robin Karlsson , Silviu S. Pufu , Zahra Zahraee , Alexander Zhiboedov

We study and compute supersymmetric observables for line defects in 3d $\mathcal{N}\ge4$ theories. Our setup is a novel supersymmetric configuration involving line operators and local operators living on a linked circle. The algebra of the…

高能物理 - 理论 · 物理学 2023-10-19 Luigi Guerrini

We evaluate the full planar one-loop dilation operator of N=2 SuperConformal QCD, the SU(N_c) super Yang-Mills theory with N_f = 2 N_c fundamental hypermultiplets, in the flavor-singlet sector. Remarkably, the spin-chain Hamiltonian turns…

高能物理 - 理论 · 物理学 2015-05-28 Pedro Liendo , Elli Pomoni , Leonardo Rastelli

Three dimensional supersymmetric field theories have large moduli spaces of circular Wilson loops preserving a fixed set of supercharges. We simplify previous constructions of such Wilson loops and amend and clarify their classification.…

高能物理 - 理论 · 物理学 2020-07-16 Nadav Drukker

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