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We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whether the CFT lives on a spatial line or circle, the dual…

High Energy Physics - Theory · Physics 2021-11-23 Ben Craps , Surbhi Khetrapal , Charles Rabideau

We demonstrate that simple feed-forward neural networks (NNs) can accurately compute correlation functions of conformal field theories (CFTs) on a line. Strikingly, by optimising a NN solely on crossing symmetry and providing only the…

High Energy Physics - Theory · Physics 2026-04-22 Kausik Ghosh , Sidhaarth Kumar , Vasilis Niarchos , Andreas Stergiou

We consider mixed four-point correlators of 1/2-BPS operators $\phi_{k}$ in SCFTs with eight real Poincar\'e supercharges, namely the 3d $\mathcal{N}=4$, 4d $\mathcal{N}=2$, 5d $\mathcal{N}=1$, and 6d $\mathcal{N}=(1,0)$ theories. Using the…

High Energy Physics - Theory · Physics 2026-04-13 Mitchell Woolley

We investigate analyticity properties of correlation functions in conformal field theories (CFT) in the Wightman formulation. The goal is to determine domain of holomorphy of permuted Wightman functions. We focus on crossing property of…

High Energy Physics - Theory · Physics 2020-08-26 Jnanadeva Maharana

We investigate the propagation of two-point density correlations in the one-dimensional Bose-Hubbard Hamiltonian in the thermodynamic limit in terms of the correlation transport distance (CTD), an experimentally measurable magnitude that…

Quantum Physics · Physics 2026-05-08 Óscar Dueñas , Alberto Rodríguez

We consider correlation functions in symmetric product ($S_N$) orbifold CFTs at large $N$ with arbitrary seed CFT. Specifically, we consider correlators of descendant operators constructed using both the full Virasoro generators $L_{m}$ and…

High Energy Physics - Theory · Physics 2023-03-01 Benjamin A. Burrington , A. W. Peet

We discuss dilatonic gravity (bulk theory) from the point of view of (generalized) AdS/CFT correspondence. Self-consistent dilatonic background is considered. It may be understood as two boundaries space where AdS boundary appears as…

High Energy Physics - Theory · Physics 2009-09-17 Shin'ichi Nojiri , Sergei D. Odintsov

Imposing Huygens' Principle in a 4D Wightman QFT puts strong constraints on its algebraic and analytic structure. These are best understood in terms of ``biharmonic fields'', whose properties reflect the presence of infinitely many…

High Energy Physics - Theory · Physics 2009-12-04 N. M. Nikolov , K. -H. Rehren , I. Todorov

We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion relations to numerically compute derivatives of blocks around…

High Energy Physics - Theory · Physics 2021-11-24 Rajeev S. Erramilli , Luca V. Iliesiu , Petr Kravchuk , Walter Landry , David Poland , David Simmons-Duffin

We consider the late time behavior of the analytically continued partition function $Z(\beta + it) Z(\beta - it)$ in holographic $2d$ CFTs. This is a probe of information loss in such theories and in their holographic duals. We show that…

High Energy Physics - Theory · Physics 2017-09-13 Ethan Dyer , Guy Gur-Ari

We show that general parity-violating 3d conformal field theories show a double copy structure for momentum space 3-point functions of conserved currents, stress tensor and marginal scalar operators. Splitting up the CFT correlator into two…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Abhishek Mehta , Amin A. Nizami , Adithya Suresh

We discuss the structure of 2D conformal field theories (CFT) at central charge c=0 describing critical disordered systems, polymers and percolation. We construct a novel extension of the c=0 Virasoro algebra, characterized by a number b…

Disordered Systems and Neural Networks · Physics 2015-06-25 V. Gurarie , A. W. W. Ludwig

We consider the problem of correlation functions in the stationary states of one-dimensional stochastic models having conformal invariance. If one considers the space dependence of the correlators, the novel aspect is that although one…

Statistical Mechanics · Physics 2016-06-17 Francisco C. Alcaraz , Vladimir Rittenberg

The conformal bootstrap hypothesis is a powerful idea in theoretical physics which has led to spectacular predictions in the context of critical phenomena. It postulates an explicit expression for the correlation functions of a conformal…

Probability · Mathematics 2020-11-12 Colin Guillarmou , Antti Kupiainen , Rémi Rhodes , Vincent Vargas

Correlators in conformal field theory are naturally organized as a sum over conformal blocks. In holographic theories, this sum must reorganize into a path integral over bulk fields and geometries. We explore how these two sums are related…

High Energy Physics - Theory · Physics 2017-09-20 Tarek Anous , Thomas Hartman , Antonin Rovai , Julian Sonner

Change-point detection (CPD) aims to detect abrupt changes over time series data. Intuitively, effective CPD over multivariate time series should require explicit modeling of the dependencies across input variables. However, existing CPD…

Machine Learning · Computer Science 2020-09-15 Ruohong Zhang , Yu Hao , Donghan Yu , Wei-Cheng Chang , Guokun Lai , Yiming Yang

We present a systematic investigation of particle number fluctuations in the crossover region near the critical endpoint of a first-order phase transition using molecular dynamics simulations of the classical Lennard-Jones fluid. We extend…

In this second installment of a series of two papers on the $\tfrac{1}{2}$-BPS Wilson line defect CFT in $\mathcal{N}=4$ super Yang-Mills, we focus on dynamical aspects of the theory, in particular studying four-point functions with…

High Energy Physics - Theory · Physics 2024-05-03 Pietro Ferrero , Carlo Meneghelli

We investigate multi-field multicritical scalar theories using CFT constraints on two- and three-point functions combined with the Schwinger-Dyson equation. This is done in general and without assuming any symmetry for the models, which we…

High Energy Physics - Theory · Physics 2019-05-01 Alessandro Codello , Mahmoud Safari , Gian Paolo Vacca , Omar Zanusso

We present new numerical results on the space of local, unitary, parity-preserving conformal field theories (CFTs) in three dimensions from the stress tensor bootstrap. In bounds maximizing certain OPE coefficients, we find a plethora of…

High Energy Physics - Theory · Physics 2026-02-17 Rajeev S. Erramilli , Matthew S. Mitchell
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