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The standard unitarity-cut method is applied to several massive two-dimensional models, including the world-sheet AdS$_5\times S^5$ superstring, to compute $2\to 2$ scattering S-matrices at one loop from tree level amplitudes. Evidence is…

High Energy Physics - Theory · Physics 2014-01-03 Valentina Forini , Lorenzo Bianchi , Ben Hoare

The symmetric space sine-Gordon models arise by conformal reduction of ordinary 2-dim $\sigma$-models, and they are integrable exhibiting a black-hole type metric in target space. We provide a Lagrangian formulation of these systems by…

High Energy Physics - Theory · Physics 2009-10-28 I. Bakas , Q-Han Park , H. J. Shin

In this work we continue the investigation of the extrapolate dictionary for celestial holography recently proposed in [2301.01810], at both the perturbative and non-perturbative level. Focusing on scalar field theories, we give a complete…

High Energy Physics - Theory · Physics 2024-01-31 Lorenzo Iacobacci , Charlotte Sleight , Massimo Taronna

We establish the nonperturbative celestial optical theorem from the unitarity of $S$-matrix. This theorem provides a set of nonperturbative bootstrap equations of the conformal partial wave (CPW) coefficients. The celestial optical theorem…

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

We analyze three saddle points of the path integral computing the partition function of the SYK model with a Maldacena-Qi coupling in the double scaling limit. The three saddle points are holographically dual to three topologically…

High Energy Physics - Theory · Physics 2026-05-08 Andrew Sontag , Herman Verlinde

This paper studies novel four-dimensional integrable field theories that are deformations of self-dual Yang-Mills. They are engineered by considering holomorphic Chern-Simons and BF type theories on covers of twistor space obtained by…

High Energy Physics - Theory · Physics 2025-09-17 Seraphim Jarov

Three-dimensional double-diffusive convection in a horizontally infinite layer of an uncompressible fluid interacting with horizontal vorticity field is considered in the neighborhood of Hopf bifurcation points. A family of amplitude…

Pattern Formation and Solitons · Physics 2014-05-14 S. B. Kozitskiy

We study the noncommutative superspace of arbitrary dimensions in a systematic way. Superfield theories on a noncommutative superspace can be formulated in two folds, through the star product formalism and in terms of the supermatrices. We…

High Energy Physics - Theory · Physics 2016-09-06 Jeong-Hyuck Park

We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin $s=\{0,\frac{1}{2},1,\frac{3}{2},2\}$ we classify and construct all SL(2,$\mathbb{C}$) primary…

High Energy Physics - Theory · Physics 2021-11-24 Sabrina Pasterski , Andrea Puhm , Emilio Trevisani

We present a numerical linear programming bootstrap to construct dual model scattering amplitudes. Dual models describe tree-level exchanges of higher spin resonances in theories like string theory and large $N$ gauge theories. Despite…

High Energy Physics - Theory · Physics 2024-01-31 Christopher Eckner , Felipe Figueroa , Piotr Tourkine

Using the ambitwistor string, we compute tree-level celestial amplitudes for biadjoint scalars, Yang-Mills and gravity to all multiplicities. They are presented in compact CHY-like formulas with operator-valued scattering equations and…

High Energy Physics - Theory · Physics 2023-01-11 Eduardo Casali , Atul Sharma

We consider two classes of backgrounds of Type IIB supergravity obtained by wrapping D5-branes on a two-cycle inside the conifold. The field theory dual exhibits confinement and, in addition, a region in which the dynamics is walking, at…

High Energy Physics - Theory · Physics 2014-03-05 Anton F. Faedo , Maurizio Piai , Daniel Schofield

The purpose of this paper is to study the holomorphic multicollinear limit of (celestial) amplitudes and use it to further investigate the double residue condition for (hard celestial) amplitudes and the celestial operator product…

High Energy Physics - Theory · Physics 2024-03-01 Adam Ball , Yangrui Hu , Sabrina Pasterski

The bootstrap program for 1+1-dimensional integrable Quantum Field Theories (QFT's) is developed to a large extent for the Homogeneous sine-Gordon (HSG) models. This program can be divided into various steps, which include the computation…

High Energy Physics - Theory · Physics 2007-05-23 Olalla A. Castro-Alvaredo

In this paper we extend the study initiated in arXiv:2302.04709v2 [hep-th] to the computation of one-loop elastic amplitudes. We consider 1+1 dimensional massive bosonic Lagrangians with polynomial-like potentials and absence of inelastic…

High Energy Physics - Theory · Physics 2024-03-08 Matheus Fabri , Davide Polvara

Assuming the existence of a field theory in D dimensions dual to (D+1)-dimensional flat space, governed by the asymptotic symmetries of flat space, we make some preliminary remarks about the properties of this field theory. We review…

High Energy Physics - Theory · Physics 2017-02-01 Arjun Bagchi , Rudranil Basu , Ashish Kakkar , Aditya Mehra

Expanding Nambu-Goto action near infinitely long string vacuum one can compute scattering amplitudes of 2d massless fields representing transverse string coordinates. As was shown in arXiv:1203.1054, the resulting S-matrix is integrable, in…

High Energy Physics - Theory · Physics 2025-04-23 Fiona K. Seibold , Arkady A. Tseytlin

We construct the holographic dual theory of unparticles. The Randall-Sundrum type hard wall model is shown to produce deconstructing particles, whose spectrum has a finite mass gap proportional to the inverse of the fifth direction segment.…

High Energy Physics - Phenomenology · Physics 2007-10-23 Jong-Phil Lee

We investigate structure functions in the 2--dimensional (asymptotically free) non--linear O$(n) \sigma$--models using the non--perturbative S--matrix bootstrap program. In particular the {\it exact small (Bjorken) $x$ behavior is…

High Energy Physics - Theory · Physics 2009-11-10 Janos Balog , Peter Weisz

The S-matrix of a theory often exhibits symmetries which are not manifest from the viewpoint of its Lagrangian. For instance, powerful constraints on scattering amplitudes are imposed by the dual conformal symmetry of planar 4d…

High Energy Physics - Theory · Physics 2016-12-30 Jyotirmoy Bhattacharya , Arthur E. Lipstein
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