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We construct candidates for observables in wedge-shaped regions for a class of 1+1-dimensional integrable quantum field theories with bound states whose S-matrix is diagonal, by extending our previous methods for scalar S-matrices. Examples…

Mathematical Physics · Physics 2021-10-05 Daniela Cadamuro , Yoh Tanimoto

Multi-collinear factorization limits provide a window to study how locality and unitarity of scattering amplitudes can emerge dynamically from celestial CFT, the conjectured holographic dual to gauge and gravitational theories in flat…

High Energy Physics - Theory · Physics 2021-03-05 Stephen Ebert , Atul Sharma , Diandian Wang

We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified…

High Energy Physics - Theory · Physics 2024-01-05 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

For a given metric measure space $(X,d,\mu)$ we consider finite samples of points, calculate the matrix of distances between them and then reconstruct the points in some finite-dimensional space using the multidimensional scaling (MDS)…

Metric Geometry · Mathematics 2022-08-02 Alexey Kroshnin , Eugene Stepanov , Dario Trevisan

We perform a systematic classification of scalar field theories whose amplitudes admit a double copy formulation and identify two building blocks at 4-point and 13 at 5-point. Using the 4-point blocks as bootstrap seeds, this naturally…

High Energy Physics - Theory · Physics 2024-05-01 Yang Li , Diederik Roest , Tonnis ter Veldhuis

The purpose of the ``bootstrap program'' for integrable quantum field theories in 1+1 dimensions is to construct a model in terms of its Wightman functions explicitly. In this article, this program is mainly illustrated in terms of the…

High Energy Physics - Theory · Physics 2009-11-10 H. Babujian , M. Karowski

Besides expanding anisotropically, the universe can also be anisotropic at the level of its (spatial) curvature. In particular, models with anisotropic curvature and isotropic expansion leads both to a $\Lambda$CDM-like phenomenology and to…

General Relativity and Quantum Cosmology · Physics 2017-11-17 Felipe O. Franco , Thiago S. Pereira

We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators. In particular, the…

High Energy Physics - Theory · Physics 2022-12-27 Miguel Correia , Joao Penedones , Antoine Vuignier

We compute the spectrum of scaling dimensions of Coulomb branch operators in 4d rank-2 $\mathcal{N}{=}2$ superconformal field theories. Only a finite rational set of scaling dimensions is allowed. It is determined by using information about…

High Energy Physics - Theory · Physics 2020-10-13 Philip C. Argyres , Cody Long , Mario Martone

The bulk-to-boundary dictionary for 4D celestial holography is given a new entry defining 2D boundary states living on oriented circles on the celestial sphere. The states are constructed using the 2D CFT state-operator correspondence from…

High Energy Physics - Theory · Physics 2021-10-04 Erin Crawley , Noah Miller , Sruthi A. Narayanan , Andrew Strominger

We consider the dynamical model of a binary bosonic gas trapped in a symmetric dual-core cigar-shaped potential. The setting is modeled by a system of linearly-coupled one-dimensional Gross-Pitaevskii equations with the cubic self-repulsive…

Pattern Formation and Solitons · Physics 2019-05-15 Bin Liu , Hua-Feng Zhang , Rong-Xuan Zhong , Xi-Liang Zhang , Xi-Zhou Qin , Chunqing Huang , Yong-Yao Li , Boris A. Malomed

We bootstrap the $4$-point amplitude of $\mathcal{N}=2$ hypermultiplets in $\text{AdS}_2 \times \text{S}^2$ at tree-level and for arbitrary external weights. We hereby explicitly demonstrate the existence of a hidden four-dimensional…

High Energy Physics - Theory · Physics 2024-04-26 Konstantinos C. Rigatos , Shaodong Zhou

This review is devoted to some aspects of non-linear Supersymmetry in four dimensions that can be efficiently described via nilpotent superfields, in both rigid and curved Superspace. Our focus is mainly on the partial breaking of rigid…

High Energy Physics - Theory · Physics 2015-07-23 S. Ferrara , A. Sagnotti

We explore the analytic structure of the non-perturbative S-matrix in arguably the simplest family of massive non-integrable quantum field theories: the Ising field theory (IFT) in two dimensions, which may be viewed as the Ising CFT…

High Energy Physics - Theory · Physics 2022-04-20 Barak Gabai , Xi Yin

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

We study integrals of motion and factorizable S-matrices in two-dimensional integrable field theory with boundary. We propose the ``boundary cross-unitarity equation'' which is the boundary analog of the cross-symmetry condition of the…

High Energy Physics - Theory · Physics 2009-10-22 Subir Ghoshal , Alexander Zamolodchikov

The bulk S-Matrix can be given a non-perturbative definition in terms of the flat space limit of AdS/CFT. We show that the unitarity of the S-Matrix, ie the optical theorem, can be derived by studying the behavior of the OPE and the…

High Energy Physics - Theory · Physics 2015-06-03 A. Liam Fitzpatrick , Jared Kaplan

Solid-state Spatial Light Modulators (SLMs) are fundamentally limited in their ability to achieve high spatial complexity and high temporal bandwidth simultaneously. High-speed, low-energy modulation requires sub-wavelength active mode…

Optics · Physics 2026-05-15 Virat Tara , Anna Wirth-Singh , Johannes E. Fröch , Arka Majumdar

We compute scalar three-point celestial amplitudes involving two and three massive scalars. The three-point coefficient of celestial amplitudes with two massive scalars contains a hypergeometric function, and the one with three massive…

High Energy Physics - Theory · Physics 2025-12-16 Reiko Liu , Wen-Jie Ma

We study scattering amplitudes in the shadow conformal primary basis, which satisfies the same defining properties as the original conformal primary basis and has many advantages over it. The shadow celestial amplitudes exhibit locality…

High Energy Physics - Theory · Physics 2023-02-22 Chi-Ming Chang , Wei Cui , Wen-Jie Ma , Hongfei Shu , Hao Zou