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We calculate wide distance connected correlators in non-gaussian orthogonal, unitary and symplectic random matrix ensembles by solving the loop equation in the 1/N-expansion. The multi-level correlator is shown to be universal in large N…

Condensed Matter · Physics 2016-08-31 Chigak Itoi

We consider the correlator of two concentric circular Wilson loops with equal radii for arbitrary spatial and internal separation at strong coupling within a defect version of $\mathcal{N}=4$ SYM. Compared to the standard Gross-Ooguri phase…

High Energy Physics - Theory · Physics 2021-03-03 Sara Bonansea , Renato Sánchez

We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric…

High Energy Physics - Theory · Physics 2025-03-10 Lorenzo De Lillo , Marialuisa Frau , Alessandro Pini

We consider the correlator <W_n O(x)> of a light-like polygonal Wilson loop with n cusps with a local operator (like the dilaton or the chiral primary scalar) in planar N =4 super Yang-Mills theory. As a consequence of conformal symmetry,…

High Energy Physics - Theory · Physics 2015-05-28 L. F. Alday , E. I. Buchbinder , A. A. Tseytlin

Superconformal field theory with $\mathcal{N}=2$ supersymmetry in four dimensional spacetime provides a prime playground to study strongly coupled phenomena in quantum field theory. Its rigid structure ensures valuable analytic control over…

High Energy Physics - Theory · Physics 2022-11-02 Mohammad Akhond , Guillermo Arias-Tamargo , Alessandro Mininno , Hao-Yu Sun , Zhengdi Sun , Yifan Wang , Fengjun Xu

Conformal symmetry underlies the mathematical description of various two-dimensional integrable models (e.g. for their Lax representation, Poisson algebra, zero curvature representation,...) or of conformal models (for the anomalous Ward…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Francois Gieres

We study integrated correlators of four superconformal primaries $\mathcal{O}_{p}$ with arbitrary charges $p$ in $\mathcal{N}{=}4$ super Yang-Mills theory (SYM). The $ \langle \mathcal{O}_{2} \mathcal{O}_{2} \mathcal{O}_{p} \mathcal{O}_{p}…

High Energy Physics - Theory · Physics 2024-02-20 Augustus Brown , Paul Heslop , Congkao Wen , Haitian Xie

We consider the ratio of the correlation function of n+1 local operators over the correlator of the first n of these operators in planar N=4 super-Yang-Mills theory, and consider the limit where the first n operators become pairwise null…

High Energy Physics - Theory · Physics 2015-05-30 Tim Adamo

This paper is concerned with a non-compact GIT quotient of a vector space, in the presence of an abelian group action and an equivariant regular function (potential) on the quotient. We define virtual counts of quasimaps from prestable…

Algebraic Geometry · Mathematics 2026-01-21 Yalong Cao , Gufang Zhao

We develop a perturbative approach to study the supersymmetric non-linear sigma model characterized by a generic coupling matrix in the strong coupling limit. The method allows us to calculate explicitly the moments of the eigenfunctions…

Disordered Systems and Neural Networks · Physics 2012-08-14 A. Ossipov

We use numerical bootstrap techniques to study correlation functions of scalars transforming in the adjoint representation of $SU(N)$ in three dimensions. We obtain upper bounds on operator dimensions for various representations and study…

High Energy Physics - Theory · Physics 2021-01-20 Andrea Manenti , Alessandro Vichi

We develop a framework for constructing superconformal blocks for correlators of general supermultiplets in theories with $\mathrm{SU}(m,m|2n)$ symmetry, such as four-dimensional $\mathcal{N}=2$ and $\mathcal{N} = 4$ conformal theories. We…

High Energy Physics - Theory · Physics 2026-05-12 Tobias Hansen , Paul Heslop , Hector Puerta-Ramisa

The spectral properties of the Wilson-Dirac operator in 2-dimensional QED responsible for the appearance of exceptional configurations in quenched simulations are studied in detail. The mass singularity structure of the quenched functional…

High Energy Physics - Lattice · Physics 2009-10-30 W. Bardeen , A. Duncan , E. Eichten , H. Thacker

We study two-point correlation functions of chiral/anti-chiral operators in SU(N) $\mathcal{N}=2$ gauge theories with massless hyper-multiplets in a representation $\mathcal{R}$ associated with a non-vanishing $\beta$-function. Using…

High Energy Physics - Theory · Physics 2025-07-04 M. Billo , L. Griguolo , A. Lerda , A. Testa

We study N=2 super-conformal field theories in four dimensions that correspond to mass-deformed linear quivers with n gauge groups and (bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained from an M-theory…

High Energy Physics - Theory · Physics 2019-08-09 S. K. Ashok , M. Billó , E. Dell'Aquila , M. Frau , R. R. John , A. Lerda

We study the circular Wilson loop in the symmetric representation of U(N) in $\mathcal{N} = 4$ super-Yang-Mills (SYM). In the large N limit, we computed the exponentially-suppressed corrections for strong coupling, which suggests…

High Energy Physics - Theory · Physics 2017-01-11 Xinyi Chen-Lin

We compute next-to-leading order (NLO) perturbative QCD corrections to the correlators of interpolating pentaquark currents. We employ modular techniques in configuration space which saves us from the onus of having to do loop calculations.…

High Energy Physics - Phenomenology · Physics 2012-08-28 S. Groote , J. G. Körner , A. A. Pivovarov

We compute the superconformal partial waves of the four-point correlator $\langle JJJJ\rangle$, in which the external operator $J$ is the superconformal primary of the $4D$ $\mathcal{N}=2$ stress-tensor multiplet $\mathcal{J}$. We develop…

High Energy Physics - Theory · Physics 2020-02-07 Zhijin Li

We study finite-coupling effects of QFT on a rigid de Sitter (dS) background taking the $O(N)$ vector model at large $N$ as a solvable example. Extending standard large $N$ techniques to the dS background, we analyze the phase structure and…

High Energy Physics - Theory · Physics 2025-02-05 Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu

Defects associated with non-invertible symmetries have attracted significant attention in recent years. Among them, Kramers-Wannier (KW) duality defects have been investigated in both classical statistical systems and quantum Hamiltonian…

Strongly Correlated Electrons · Physics 2025-11-19 Aswin Parayil Mana , Yaman Sanghavi
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