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Correlation functions of local operators in Quantum Field Theory (QFT) on hyperbolic space can be fully characterized by the set of QFT data $\lbrace \Delta_i,C_{ijk},b^{\hat{\mathcal{O}}}_j\rbrace$. These are the scaling dimensions of…

High Energy Physics - Theory · Physics 2026-05-19 Manuel Loparco , Grégoire Mathys , Joao Penedones , Jiaxin Qiao , Xiang Zhao

For percolating systems, we propose a universal exponent relation connecting the leading corrections to scaling of the cluster size distribution with the dynamic corrections to the asymptotic transport behaviour at criticality. Our…

Statistical Mechanics · Physics 2008-12-08 Axel Kammerer , Felix Höfling , Thomas Franosch

We extend and clarify the large-charge expansion of the conformal dimension $\Delta_Q$ of the lowest operator of charge $Q$ in nonrelativistic CFTs using the state-operator correspondence. The latter requires coupling the theory to an…

High Energy Physics - Theory · Physics 2022-08-02 Vito Pellizzani

We consider conformal perturbation theory for $n$-point functions on the sphere in general 2D CFTs to first order in coupling constant. We regulate perturbation integrals using canonical hard disk excisions of size $\epsilon$ around the…

High Energy Physics - Theory · Physics 2023-12-22 Benjamin A. Burrington , Ida G. Zadeh

Conformal blocks are a central analytic tool for higher dimensional conformal field theory. We employ Harish-Chandra's radial component map to construct universal Casimir differential equations for spinning conformal blocks in any dimension…

High Energy Physics - Theory · Physics 2023-04-05 Ilija Buric , Volker Schomerus

We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $\phi$, and $t$). We obtain numerical predictions for low-twist OPE…

High Energy Physics - Theory · Physics 2020-12-02 Junyu Liu , David Meltzer , David Poland , David Simmons-Duffin

Two-dimensional conformal field theories (CFTs) defined on non-orientable Riemann surfaces obey consistency Cardy conditions analogous to those in the orientable case. We revisit those conditions for irrational theories with central charge…

High Energy Physics - Theory · Physics 2020-11-19 Ioannis Tsiares

We establish universality of local eigenvalue correlations in unitary random matrix ensembles (1/Z_n) |\det M|^{2\alpha} e^{-n\tr V(M)} dM near the origin of the spectrum. If V is even, and if the recurrence coefficients of the orthogonal…

Mathematical Physics · Physics 2009-11-10 A. B. J. Kuijlaars , M. Vanlessen

What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their ultraviolet completion must be string theory. We provide more…

High Energy Physics - Theory · Physics 2020-06-24 David Meltzer

The operator product expansion (OPE) in 4d (super)conformal field theory is of broad interest, for both formal and phenomenological applications. In this paper, we use conformal perturbation theory to study the OPE of nearly-free fields…

High Energy Physics - Theory · Physics 2015-06-04 Daniel Green , David Shih

In the framework of bulk reconstruction, we elucidate the relationship between the action of CFT modular Hamiltonians on bulk operators, the possible equation of motion for the bulk operators, and the charge distribution at infinity…

High Energy Physics - Theory · Physics 2022-09-14 Nele Callebaut , Gilad Lifschytz

The bulk reconstruction program involves expressing local bulk fields as non-local operators on the boundary. It was initiated in the context of AdS/CFT correspondence. Attempts to extend it to de Sitter have been successful for…

High Energy Physics - Theory · Physics 2026-04-02 Arundhati Goldar , Nirmalya Kajuri

We study multipoint correlators of protected scalars on the Maldacena-Wilson line in $\mathcal{N}=4$ SYM. Working at weak coupling in the planar limit, we derive an explicit recursion relation that captures next-to-leading order correlators…

High Energy Physics - Theory · Physics 2023-01-24 Julien Barrat , Pedro Liendo , Giulia Peveri , Jan Plefka

We study novel conformal twist defects in 4d Maxwell theory, around which electric and magnetic fields are exchanged. These are codimension-2 defects living at the end of topological defects for certain non-invertible global symmetries. We…

High Energy Physics - Theory · Physics 2025-12-09 Shu-Heng Shao , Siwei Zhong

We formulate a minimum requirement for CFT operators to be localized in the dual AdS. In any spacetime dimensions, we show that a general solution to the requirement is a linear superposition of operators creating spherical boundaries in…

High Energy Physics - Theory · Physics 2015-07-16 Yu Nakayama , Hirosi Ooguri

The path integral of a general N=2 supersymmetric gauge theory on S^4 is exactly evaluated in the presence of a supersymmetric 't Hooft loop operator. The result we find - obtained using localization techniques - captures all perturbative…

High Energy Physics - Theory · Physics 2015-05-28 Jaume Gomis , Takuya Okuda , Vasily Pestun

We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable…

High Energy Physics - Theory · Physics 2020-03-18 Valentino F. Foit , Daniel Kabat , Gilad Lifschytz

We study the correlators of bulk and defect half-BPS operators in $\mathcal{N}=4$ Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the…

High Energy Physics - Theory · Physics 2026-01-15 Daniele Artico , Julien Barrat , Yingxuan Xu

The AdS/CFT correspondence relates deformations of the CFT by "multi-trace operators" to "non-local string theories". The deformed theories seem to have non-local interactions in the compact directions of space-time; in the gravity…

High Energy Physics - Theory · Physics 2009-11-11 Ofer Aharony , Micha Berkooz , Boaz Katz

We study bulk locality in a scalar effective field theory (EFT) in AdS background in presence of an end-of-the-world (EOW) brane. The holographic dual description is given in terms of a boundary conformal field theory (BCFT). We compute the…

High Energy Physics - Theory · Physics 2026-05-19 Pinaki Banerjee , Parijat Dey , Dipyendu Dhar
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