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We derive the exact S-matrix for the scattering of particular representations of the centrally-extended psu(1|1)^2 Lie superalgebra, conjectured to be related to the massive modes of the light-cone gauge string theory on AdS_2 x S^2 x T^6.…

High Energy Physics - Theory · Physics 2015-06-22 Ben Hoare , Antonio Pittelli , Alessandro Torrielli

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

We investigate the AdS(3)/CFT(2) correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS(3)xS(3)xM(4) where M(4)=T(4) or S(3)xS(1) using the coset…

High Energy Physics - Theory · Physics 2010-05-28 A. Babichenko , B. Stefanski , K. Zarembo

We present evidence for the factorization of the world-sheet path integrals for 2d conformal field theories on the disk into bulk and boundary contributions. This factorization is then used to reinterpret a shift in closed string…

High Energy Physics - Theory · Physics 2010-02-03 Marcus Baumgartl , Ivo Sachs , Samson L. Shatashvili

We present a study of the worldsheets that describe the classical limit of various string scattering processes. Our main focus is on string scattering in AdS spacetime because of its relation via the AdS/CFT correspondence to gluon…

High Energy Physics - Theory · Physics 2008-11-26 Charles M. Sommerfield , Charles B. Thorn

The non-linear nature of string theory on non-trivial backgrounds related to the AdS/CFT correspondence suggests to look for simplifications. Two such simplifications proved to be useful in studying string theory. These are the pp-wave…

High Energy Physics - Theory · Physics 2009-03-24 M. Kreuzer , R. C. Rashkov , M. Schimpf

We discuss universal properties of conformal field theories with holographic duals. A central feature of these theories is the existence of a low-lying sector of operators whose correlators factorize. We demonstrate that factorization can…

High Energy Physics - Theory · Physics 2015-03-17 Sheer El-Showk , Kyriakos Papadodimas

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

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

We investigate the question of possible integrability of classical string motion in curved p-brane backgrounds. For example, the D3-brane metric interpolates between the flat and the AdS_5 x S^5 regions in which string propagation is…

High Energy Physics - Theory · Physics 2013-03-06 A. Stepanchuk , A. A. Tseytlin

We study the computational complexity of constrained nonnegative Gram feasibility. Given a partially specified symmetric matrix together with affine relations among selected entries, the problem asks whether there exists a nonnegative…

Optimization and Control · Mathematics 2026-03-23 Angshul Majumdar

We discuss aspects of the holographic description of crunching AdS cosmologies. We argue that crunching FRW models with hyperbolic spatial sections are dual to semiclassical condensates in deformed de Sitter CFTs. De Sitter-invariant…

High Energy Physics - Theory · Physics 2011-06-30 J. L. F. Barbon , E. Rabinovici

The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That we should get FRW cosmology in this way is an…

High Energy Physics - Theory · Physics 2009-10-31 Steven S. Gubser

We consider the exact $R$-matrix of $AdS_3/CFT_2$, which is the building block for describing the scattering of worldsheet excitations of the light-cone gauge-fixed backgrounds $AdS_3 \times S^3 \times T^4$ and $AdS_3 \times S^3 \times S^3…

High Energy Physics - Theory · Physics 2018-04-04 Riccardo Borsato , Joakim Strömwall , Alessandro Torrielli

We study families of one-dimensional CFTs relevant for describing gapped QFTs in AdS$_2$. Using the Polyakov bootstrap as our main tool, we explain how S-matrices emerge from the flat space limit of CFT correlators. In this limit we prove…

High Energy Physics - Theory · Physics 2022-09-07 Lucía Córdova , Yifei He , Miguel F. Paulos

In this thesis, the AdS/CFT correspondence is used as a tool to explore novel AdS$_5$ Supergravity backgrounds (containing five-dimensional Anti-de Sitter spacetime) and their dual (four dimensional) Conformal Field Theory descriptions. In…

High Energy Physics - Theory · Physics 2025-10-15 Paul Merrikin

Singularities of Spin(7) manifolds are considered in the worldsheet approach, and it is argued that the internal CFT describing a singular spin(7) has an enhanced ${\cal SW}({3\over 2},{3\over 2},2)$ algebra tensored with ${\cal N}=1$…

High Energy Physics - Theory · Physics 2007-05-23 Ram Sriharsha

We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability.…

High Energy Physics - Theory · Physics 2015-05-27 D. Sorokin , A. Tseytlin , L. Wulff , K. Zarembo

String theory contains solutions with SL(2,R)_R x U(1)_L-invariant warped AdS3 (WAdS3) factors arising as continuous deformations of ordinary AdS3 factors. We propose that some of these are holographically dual to the IR limits of nonlocal…

High Energy Physics - Theory · Physics 2015-05-30 Wei Song , Andrew Strominger

Integrable Quantum Field Theories can be solved exactly using bootstrap techniques based on their elastic and factorisable S-matrix. While knowledge of the scattering amplitudes reveals the exact spectrum of particles and their on-shell…

Statistical Mechanics · Physics 2023-03-30 M. Lencsés , G. Mussardo , G. Takács