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We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$…

高能物理 - 理论 · 物理学 2020-09-23 Shailesh Lal

We revisit the minimal tension ($k=1$) string theory on $\text{AdS}_3\times\text{S}^3\times\mathbb{T}^4$. We propose a new free-field description of the worldsheet theory and show how localization of string amplitudes emerges from the path…

高能物理 - 理论 · 物理学 2024-01-30 Andrea Dei , Bob Knighton , Kiarash Naderi

We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out of the scalar fields acquire expectation values, and…

高能物理 - 理论 · 物理学 2010-04-07 Igor R. Klebanov , Edward Witten

In this paper we compute the tree-level four-point scattering amplitude of two dilatini and two axion-dilaton fields in type IIB supergravity in AdS5 x S5. A special feature of this process is that there is an "exotic" channel in which…

高能物理 - 理论 · 物理学 2008-11-26 Linda I. Uruchurtu

We propose a Mellin space approach to the evaluation of late-time momentum-space correlation functions of quantum fields in $\left(d+1\right)$-dimensional de Sitter space. The Mellin-Barnes representation makes manifest the analytic…

高能物理 - 理论 · 物理学 2020-02-19 Charlotte Sleight

We confront the recently proposed exact S-matrices for AdS(3)/CFT(2) with direct worldsheet calculations. Utilizing the BMN and Near Flat Space (NFS) expansions for strings on AdS(3) x S(3) x S(3) x S(1) and AdS(3) x S(3) x T(4) we compute…

高能物理 - 理论 · 物理学 2015-06-15 Per Sundin , Linus Wulff

We study a set of CFT operators suitable for reconstructing a charged bulk scalar field $\phi$ in AdS${}_3$ (dual to an operator ${\cal O}$ of dimension $\Delta$ in the CFT) in the presence of a conserved spin-$n$ current in the CFT. One…

高能物理 - 理论 · 物理学 2020-12-02 Daniel Kabat , Gilad Lifschytz

We examine the AdS/CFT correspondence through a manifestly 5D supersymmetric formalism, corresponding to a 4D N=1 supersymmetric CFT. We find that the dimensions of scalar and fermionic component operators are simply related, and that there…

高能物理 - 理论 · 物理学 2009-06-25 G. Cacciapaglia , G. Marandella , J. Terning

We study the correlation functions of scalar operators in the theory defined as the holographic dual of the Schroedinger background with dynamical exponent z=2 at zero temperature and zero chemical potential. We offer a closed expression of…

高能物理 - 理论 · 物理学 2009-07-30 Carlos A. Fuertes , Sergej Moroz

We use on-shell methods to calculate tree-level effective field theory (EFT) amplitudes, with no reference to the EFT operators. Lorentz symmetry, unitarity and Bose statistics determine the allowed kinematical structures. As a by-product,…

高能物理 - 唯象学 · 物理学 2019-03-27 Yael Shadmi , Yaniv Weiss

We introduce the AdS/CFT correspondence as a natural extension of QFT in a fixed AdS background. We start by reviewing some general concepts of CFT, including the embedding space formalism. We then consider QFT in a fixed AdS background and…

高能物理 - 理论 · 物理学 2016-12-21 Joao Penedones

We present a universal treatment for imposing superconformal constraints on Mellin amplitudes for $\mathrm{SCFT_d}$ with $3\leq d\leq 6$. This leads to a new technique to compute holographic correlators, which is similar but complementary…

高能物理 - 理论 · 物理学 2018-09-26 Xinan Zhou

We calculate on-shell scattering amplitudes involving fermions at the tree level in open superstring field theory. We confirm that four-point and five-point amplitudes in the world-sheet path integral with the standard prescription using…

高能物理 - 理论 · 物理学 2016-12-05 Hiroshi Kunitomo , Yuji Okawa , Hiroki Sukeno , Tomoyuki Takezaki

We consider manifestly crossing symmetric dispersion relations for Mellin amplitudes of scalar four point correlators in conformal field theories (CFTs). This allows us to set up the non-perturbative Polyakov bootstrap for CFTs in Mellin…

高能物理 - 理论 · 物理学 2021-05-31 Rajesh Gopakumar , Aninda Sinha , Ahmadullah Zahed

We initiate the study of bound state scattering in AdS space at the level of Witten diagrams. For concreteness, we focus on the case with only scalar fields and analyze several basic diagrams which more general diagrams reduce to. We obtain…

高能物理 - 理论 · 物理学 2022-08-24 Wen-Jie Ma , Xinan Zhou

Recently constructed gravity solutions with Schrodinger symmetry provide a new example of AdS/CFT-type dualities for the type of non-relativistic field theories relevant to certain cold atom systems. In this paper we use the gravity side to…

高能物理 - 理论 · 物理学 2009-05-29 Anastasia Volovich , Congkao Wen

We investigate the relation between 4d ambitwistor string theory and on-shell diagrams for planar N=4 super-Yang-Mills and N=8 supergravity, and deduce several new results about their scattering amplitudes at tree-level and 1-loop. In…

高能物理 - 理论 · 物理学 2017-09-13 Joseph A. Farrow , Arthur E. Lipstein

We study correlators of four protected (half-BPS) operators in strongly coupled supersymmetric Yang-Mills theory. These are dual to tree-level supergravity amplitudes on AdS${}_5\times$S${}_5$ for various spherical harmonics on the…

高能物理 - 理论 · 物理学 2019-02-20 Simon Caron-Huot , Anh-Khoi Trinh

We present a double copy relation in AdS$_5$ which relates tree-level four-point amplitudes of supergravity, super Yang-Mills and bi-adjoint scalars.

高能物理 - 理论 · 物理学 2021-10-04 Xinan Zhou

We present a systematic study of holographic correlators in a vast array of SCFTs with non-maximal superconformal symmetry. These theories include 4d $\mathcal{N}=2$ SCFTs from D3-branes near F-theory singularities, 5d Seiberg exceptional…

高能物理 - 理论 · 物理学 2021-10-20 Luis F. Alday , Connor Behan , Pietro Ferrero , Xinan Zhou