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We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence. Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime. We use bottom up…

High Energy Physics - Theory · Physics 2024-10-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

The volume operator plays a central role in both the kinematics and dynamics of canonical approaches to quantum gravity which are based on algebras of generalized Wilson loops. We introduce a method for simplifying its spectral analysis,…

General Relativity and Quantum Cosmology · Physics 2009-10-30 R. Loll

We show that there are well separated families of quantum expanders with asymptotically the maximal cardinality allowed by a known upper bound. This has applications to the "growth" of certain operator spaces: It implies asymptotically…

Operator Algebras · Mathematics 2014-12-23 Gilles Pisier

We argue that given holographic CFT$_1$ in some state with a dual spacetime geometry M, and given some other holographic CFT$_2$, we can find states of CFT$_2$ whose dual geometries closely approximate arbitrarily large causal patches of M,…

High Energy Physics - Theory · Physics 2020-12-30 Petar Simidzija , Mark Van Raamsdonk

We discuss some general aspects of commutators of local operators in Lorentzian CFTs, which can be obtained from a suitable analytic continuation of the Euclidean operator product expansion (OPE). Commutators only make sense as…

High Energy Physics - Theory · Physics 2021-09-02 Mert Besken , Jan de Boer , Grégoire Mathys

We study the entanglement entropy and the modular Hamiltonian of slightly excited states reduced to a ball shaped region in generic conformal field theories. We set up a formal expansion in the one point functions of the state in which all…

High Energy Physics - Theory · Physics 2018-02-14 Gábor Sárosi , Tomonori Ugajin

Many two-dimensional conformal field theories have an alternative integrable scattering description, which reproduces their spectrum of conformal weights. Taking as an example the case of the Lee-Yang nonunitary CFT and the 3-state Potts…

High Energy Physics - Theory · Physics 2022-12-14 Zoltan Bajnok , Romuald A. Janik

We propose a new program for computing a certain integrand of scattering amplitudes of four-dimensional gauge theories which we call the \textit{form factor integrand}, starting from 6d holomorphic theories on twistor space. We show that…

High Energy Physics - Theory · Physics 2023-01-03 Kevin Costello , Natalie M. Paquette

We extend the Operator Product Expansion (OPE) for scattering amplitudes in planar N=4 SYM to account for all possible helicities of the external states. This is done by constructing a simple map between helicity configurations and…

High Energy Physics - Theory · Physics 2015-09-02 Benjamin Basso , Joao Caetano , Lucia Cordova , Amit Sever , Pedro Vieira

We use tools from conformal representation theory to classify the symmetries associated to conformally soft operators in celestial CFT (CCFT) in general dimensions $d$. The conformal multiplets in $d>2$ take the form of celestial necklaces…

High Energy Physics - Theory · Physics 2023-08-02 Yorgo Pano , Andrea Puhm , Emilio Trevisani

We highlight and clarify the connection between several ideas and self-dual theories: (a) the operator product expansion (OPE) associativity in celestial conformal field theory (CCFT); (b) the vanishing of tree-level amplitudes; (c) the…

High Energy Physics - Theory · Physics 2025-08-26 Mattia Serrani

We study the holographic duality between boundary OPE blocks and geodesic integrated bulk fields in quotients of AdS$_3$ dual to excited CFT states. The quotient geometries exhibit non-minimal geodesics between pairs of spacelike separated…

High Energy Physics - Theory · Physics 2019-03-14 Jesse C. Cresswell , Ian T. Jardine , Amanda W. Peet

Recently an efficient numerical method has been developed to implement the constraints of crossing symmetry and unitarity on the operator dimensions and OPE coefficients of conformal field theories (CFT) in diverse space-time dimensions. It…

High Energy Physics - Theory · Physics 2013-10-30 Ferdinando Gliozzi

We develop a flat-space holographic dictionary for a free massive spinor field in four-dimensional Minkowski spacetime, using the hyperbolic (Milne) slicing into $\mathbb H^3$ (Euclidean $\mathrm{AdS}_3$). Decomposing bulk fields into…

High Energy Physics - Theory · Physics 2026-03-10 Dmitry S. Ageev , Anna S. Bernakevich

Given a complex, separable Hilbert space $\mathcal{H}$, we characterize those operators for which $\| P T (I-P) \| = \| (I-P) T P \|$ for all orthogonal projections $P$ on $\mathcal{H}$. When $\mathcal{H}$ is finite-dimensional, we also…

Functional Analysis · Mathematics 2017-09-07 L. Livshits , G. MacDonald , L. W. Marcoux , H. Radjavi

We study two families of composite twisted Ramond fields (made by products of two operators) in the $\cal {N}=(4,4)$ supersymmetric D1-D5 SCFT$_2$ deformed by a marginal modulus operator away from its $(T^4)^N/ S_N$ free orbifold point. We…

High Energy Physics - Theory · Physics 2020-11-11 A. A. Lima , G. M. Sotkov , M. Stanishkov

Qubits are a great way to build a quantum computer, but a limited way to program one. We replace the usual "states and gates" formalism with a "props and ops" (propositions and operators) model in which (a) the C*-algebra of observables…

Quantum Physics · Physics 2025-09-08 David Wakeham

We study representations of the Poincar\'e group that have a privileged transformation law along a p-dimensional hyperplane, and uncover their associated spinor helicity variables in D spacetime dimensions. Our novel representations…

High Energy Physics - Theory · Physics 2022-12-20 Csaba Csaki , Ofri Telem , John Terning

We investigate the short-interval expansion of the subsystem fidelity in two-dimensional conformal field theories (2D CFTs) using the operator product expansion (OPE) of twist operators. We obtain universal contributions from general…

High Energy Physics - Theory · Physics 2026-01-13 Bin Sui , Yihao Wang , Jiaju Zhang

We consider D1-D5-P states in the untwisted sector of the D1-D5 orbifold CFT where one copy of the seed CFT has been excited with a left-moving superconformal primary. Despite being BPS at the orbifold point, such states can `lift' as the…

High Energy Physics - Theory · Physics 2022-11-09 Bin Guo , Marcel R. R. Hughes , Samir D. Mathur , Madhur Mehta