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We compute meson scattering amplitudes using the holographic duality between confining gauge theories and string theory, in order to consider holographic corrections to the Veneziano amplitude and associated higher-point functions. The…

High Energy Physics - Theory · Physics 2017-04-26 Adi Armoni , Edwin Ireson

We derive expressions for conformal blocks involving operators with arbitrary spins in 3-dimensional CFTs. We use previous results on the action of the OPE in the embedding space to derive the conformal blocks. The blocks are given as…

High Energy Physics - Theory · Physics 2022-12-15 Jean-François Fortin , Jingping Li , Alex Sandomirsky , Witold Skiba

We study chaotic dynamics in two-dimensional conformal field theory through out-of-time order thermal correlators of the form $\langle W(t)VW(t)V\rangle$. We reproduce bulk calculations similar to those of [1], by studying the large $c$…

High Energy Physics - Theory · Physics 2016-07-07 Daniel A. Roberts , Douglas Stanford

We consider ($d+n+1$)-dimensional solutions of Einstein gravity with constant negative curvature. Regular solutions of this type are expected to be dual to the ground states of ($d+n$)-dimensional holographic CFTs on $AdS_d\times S^n$.…

High Energy Physics - Theory · Physics 2023-11-23 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

A common feature of tree-level holography is that a correlator in one theory can serve as a generating function for correlators in another theory with less continuous symmetry. This is the case for a family of 4d CFTs with eight…

High Energy Physics - Theory · Physics 2023-05-03 Connor Behan

Following a methodology similar to \cite{Alishahiha:2015rta}, we derive a holographic complexity for two dimensional holographic superconductors (gauge/string superconductors) with backreactions. Applying a perturbation method proposed by…

High Energy Physics - Theory · Physics 2016-06-02 Davood Momeni , Seyed Ali Hosseini Mansoori , Ratbay Myrzakulov

We calculate holographically one and two-point functions of scalar operators at finite density and/or finite temperature. In the case of finite density and zero temperature we argue that only scalar operators can have non-zero VEVs. In the…

High Energy Physics - Theory · Physics 2022-11-30 George Georgiou , Dimitrios Zoakos

The basic ingredient of CCFT holography is to regard four-dimensional amplitudes describing conformal wave packets as two-dimensional conformal correlation functions of the operators associated to external particles. By construction, these…

High Energy Physics - Theory · Physics 2020-01-08 Angelos Fotopoulos , Tomasz R. Taylor

We present a novel semiclassical framework tailored to determine the scaling dimensions of heavy neutral composite operators in conformal field theories (CFTs) which are inaccessible with other current methodologies. It utilizes the…

High Energy Physics - Theory · Physics 2026-02-03 Oleg Antipin , Jahmall Bersini , Jacob Hafjall , Giulia Muco , Francesco Sannino

The 4D 4-point scattering amplitude of massless scalars via a massive exchange is expressed in a basis of conformal primary particle wavefunctions. This celestial amplitude is expanded in a basis of 2D conformal partial waves on the unitary…

High Energy Physics - Theory · Physics 2022-01-12 Alexander Atanasov , Walker Melton , Ana-Maria Raclariu , Andrew Strominger

Recently holographic prescriptions are proposed to compute quantum complexity of a given state in the boundary theory. A specific proposal known as `holographic subregion complexity' is supposed to calculate the the complexity of a reduced…

High Energy Physics - Theory · Physics 2017-10-25 Elaheh Bakhshaei , Ali Mollabashi , Ahmad Shirzad

We study correlation functions of scalar operators on the boundary of the $AdS_3$ space deformed by moving massive particles in the context of the AdS/CFT duality. To calculate two-point correlation functions we use the geodesic…

High Energy Physics - Theory · Physics 2016-12-15 D. S. Ageev , I. Ya. Aref'eva , M. D. Tikhanovskaya

We establish shape holomorphy results for general weakly- and hyper-singular boundary integral operators arising from second-order partial differential equations in unbounded two-dimensional domains with multiple finite-length open arcs.…

Analysis of PDEs · Mathematics 2023-05-26 Jose Pinto , Fernando Henríquez , Carlos Jerez-Hanckes

We characterize all logarithmic, holomorphic vector-valued modular forms which can be analytically continued to a region strictly larger than the upper half-plane.

Number Theory · Mathematics 2011-01-26 Marvin Knopp , Geoffrey Mason

The explicit computation of higher-point conformal blocks in any dimension is usually a challenging task. For two-dimensional conformal field theories in Euclidean signature, the oscillator formalism proves to be very efficient. We…

High Energy Physics - Theory · Physics 2025-05-15 Martin Ammon , Jakob Hollweck , Tobias Hössel , Katharina Wölfl

We formulate a state-dependent definition of operator size that captures the effective size of an operator acting on a reference state. We apply our definition to the SYK model and holographic 2-dimensional CFTs, generalizing the…

High Energy Physics - Theory · Physics 2019-11-14 Alexandros Mousatov

Symmetry is usually defined via transformations described by a (higher) group. But a symmetry really corresponds to an algebra of local symmetric operators, which directly constrains the properties of the system. In this paper, we point out…

Strongly Correlated Electrons · Physics 2023-04-25 Arkya Chatterjee , Xiao-Gang Wen

We extend the work of [4] to support the conjecture that any conformal field theory with a large N expansion and a large gap in the spectrum of anomalous dimensions has a local bulk dual. We count to O(1/N^2) the solutions to the crossing…

High Energy Physics - Theory · Physics 2014-11-21 Idse Heemskerk , James Sully

In this paper, we study a holographic description of weak measurements in conformal field theories (CFTs). Weak measurements can be viewed as a soft projection that interpolates between an identity operator and a projection operator, and…

High Energy Physics - Theory · Physics 2023-12-29 Xinyu Sun , Shao-Kai Jian

It was recently shown that the theory obtained by deforming a general two dimensional conformal theory by the irrelevant operator $T\bar T$ is solvable. In the context of holography, a large class of such theories can be obtained by…

High Energy Physics - Theory · Physics 2020-07-15 Amit Giveon , Nissan Itzhaki , David Kutasov