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The formulation of the S-matrix as a path integral with specified asymptotic boundary conditions naturally leads to the realization of a Carrollian partition function defined on the boundary of Minkowski space. This partition function,…

High Energy Physics - Theory · Physics 2025-02-06 Per Kraus , Richard M. Myers

Guided by the generalized conformal symmetry, we investigate the extension of AdS-CFT correspondence to the matrix model of D-particles in the large N limit. We perform a complete harmonic analysis of the bosonic linearized fluctuations…

High Energy Physics - Theory · Physics 2009-10-31 Yasuhiro Sekino , Tamiaki Yoneya

In this paper, we explore the open string amplitude's dual role as a space-time S-matrix and a 1D CFT correlation function. We pursue this correspondence in two directions. First, beginning with a general disk integrand dressed with a…

High Energy Physics - Theory · Physics 2021-05-05 Yu-tin Huang , Jin-Yu Liu , Laurentiu Rodina , Yihong Wang

We provide a new general setting for scalar interacting fields on the covering of a d+1-dimensional AdS spacetime. The formalism is used at first to construct a one-paramater family of field theories, each living on a corresponding…

High Energy Physics - Theory · Physics 2007-05-23 M. Bertola , J. Bros , U. Moschella , R. Schaeffer

S-matrix elements in flat space can be obtained from a large AdS-radius limit of certain CFT correlators. We present a method for constructing CFT operators which create incoming and outgoing scattering states in flat space. This is done by…

High Energy Physics - Theory · Physics 2020-12-02 Eliot Hijano , Dominik Neuenfeld

Quantum field theories in AdS generate conformal correlation functions on the boundary, and in the limit where AdS is nearly flat one should be able to extract an S-matrix from such correlators. We discuss a particularly simple…

High Energy Physics - Theory · Physics 2021-05-03 Shota Komatsu , Miguel F. Paulos , Balt C. van Rees , Xiang Zhao

Maximally supersymmetric gauge theories have experienced renewed interest due to the AdS/CFT correspondence and its conjectured S-duality. These gauge theories possess a large amount of symmetry and have quasi-integrable properties. We…

High Energy Physics - Theory · Physics 2007-05-23 Gordon Chalmers

We present explicit computations and conjectures for $2 \to 2$ scattering matrices in large $N$ {\it $U(N)$} Chern-Simons theories coupled to fundamental bosonic or fermionic matter to all orders in the 't Hooft coupling expansion. The…

High Energy Physics - Theory · Physics 2015-05-20 Sachin Jain , Mangesh Mandlik , Shiraz Minwalla , Tomohisa Takimi , Spenta R. Wadia , Shuichi Yokoyama

We describe few aspects of the quantum symmetries of some massless two-dimensional field theories. We discuss their relations with recent proposals for the factorized scattering theories of the massless $PCM_1$ and $O(3)_{\theta=\pi}$ sigma…

High Energy Physics - Theory · Physics 2008-11-26 Denis Bernard

Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, in general, geometries with conformal carrollian structure. Using a basis transformation,…

High Energy Physics - Theory · Physics 2023-11-13 Jakob Salzer

A remarkable connection between BCFW recursion relations and constraints on the S-matrix was made by Benincasa and Cachazo in 0705.4305, who noted that mutual consistency of different BCFW constructions of four-particle amplitudes generates…

High Energy Physics - Theory · Physics 2011-08-04 Philip Schuster , Natalia Toro

We study compactifications of an infinite family of four-dimensional $\mathcal{N}=1$ SCFTs on a Riemann surface in the presence of arbitrary background fluxes for global symmetries. The four-dimensional parent theories have holographic…

High Energy Physics - Theory · Physics 2020-04-22 Christopher Couzens , Huibert het Lam , Kilian Mayer

In the large-N limit of d=4, N=4 gauge theory, the dual AdS spacetime becomes flat. We identify a gauge theory correlator whose large-N limit is the flat spacetime S-matrix.

High Energy Physics - Theory · Physics 2007-05-23 Joseph Polchinski

We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the…

High Energy Physics - Theory · Physics 2009-11-10 Matthias Staudacher

We propose a fusion formula for AdS/CFT worldsheet boundary S-matrices. We show that, starting from the fundamental Y=0 boundary S-matrix, this formula correctly reproduces the two-particle bound-state boundary S-matrices.

High Energy Physics - Theory · Physics 2016-01-27 Rafael I. Nepomechie , Rodrigo A. Pimenta

We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish rigorous bounds on the cubic couplings of a given theory with…

High Energy Physics - Theory · Physics 2018-01-17 Miguel F. Paulos , Joao Penedones , Jonathan Toledo , Balt C. van Rees , Pedro Vieira

We discuss the large $N$ factorization properties of five-dimensional supersymmetric partition functions for CFT with a holographic dual. We consider partition functions on manifolds of the form $\mathcal{M}= \mathcal{M}_3 \times…

High Energy Physics - Theory · Physics 2022-09-19 Seyed Morteza Hosseini , Itamar Yaakov , Alberto Zaffaroni

In this work, we study compactifications of 6d $(1,0)$ SCFTs, in particular those of conformal matter type, on K\"ahler 4-manifolds. We show how this can be realized via wrapping M5 branes on 4-cycles of non-compact Calabi-Yau fourfolds…

High Energy Physics - Theory · Physics 2024-10-10 Jin Chen , Zhuo Chen , Wei Cui , Babak Haghighat

We reformulate the scattering amplitudes of 4D flat space gauge theory and gravity in the language of a 2D CFT on the celestial sphere. The resulting CFT structure exhibits an OPE constructed from 4D collinear singularities, as well as…

High Energy Physics - Theory · Physics 2017-02-16 Clifford Cheung , Anton de la Fuente , Raman Sundrum

We perform nonperturbative studies of N=4 super Yang-Mills theory by Monte Carlo simulation. In particular, we calculate the correlation functions of chiral primary operators to test the AdS/CFT correspondence. Our results agree with the…

High Energy Physics - Theory · Physics 2013-12-12 Masazumi Honda , Goro Ishiki , Sang-Woo Kim , Jun Nishimura , Asato Tsuchiya