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The special properties of scalars having a mass such that the two possible dimensions of the dual scalar respect the unitarity and the Breitenlohner-Freedman bounds and their ratio is integral (``resonant scalars'') are studied in the…

High Energy Physics - Theory · Physics 2009-11-11 M. Banados , A. Schwimmer , S. Theisen

We compute a family of scalar loop diagrams in $AdS$. We use the spectral representation to derive various bulk vertex/propagator identities, and these identities enable to reduce certain loop bubble diagrams to lower loop diagrams, and…

High Energy Physics - Theory · Physics 2021-05-31 Dean Carmi

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

We explicitly calculate a Witten diagram with general spinor field exchange on $(d+1)$-dimensional Euclidean Anti-de Sitter space, which is necessary to evaluate four-point correlation functions with spinor fields when we make use of the…

High Energy Physics - Theory · Physics 2009-10-31 Teruhiko Kawano , Kazumi Okuyama

In this paper, we propose a conformally covariant momentum space representation of CFT correlation functions. We call it the AdS S-matrix. This representation has the property that it reduces to the S-matrix in the flat space limit. The…

High Energy Physics - Theory · Physics 2022-10-19 Abhijit Gadde , Trakshu Sharma

The AdS/CFT correspondence between string theory in AdS space and conformal field theories in physical space-time leads to an analytic, semi-classical model for strongly-coupled QCD which has scale invariance and dimensional counting at…

High Energy Physics - Theory · Physics 2017-08-23 Stanley J. Brodsky , Guy F. de Teramond

We study the emission rates of scalar, spinor and vector particles from a 5 dimensional black hole for arbitrary partial waves. The solution is lifted to 6 dimensions, and the near horizon $ BTZ \times S^3$ geometry of the black hole…

High Energy Physics - Theory · Physics 2014-11-18 Saurya Das , Arundhati Dasgupta

We consider general field theories in six dimensions, with two of the dimensions compactified on a T_{2}/Z_{4} orbifold. Six-dimensional Weyl fermions propagating on this background give rise to a chiral zero-mode, which makes them…

High Energy Physics - Phenomenology · Physics 2009-11-11 Eduardo Ponton , Lin Wang

We use AGT correspondence between N=2 SUSY Yang-Mills theory on ${\mathbb R}^4/{\mathbb Z}_2$ and two-dimensional CFT model with the algebra $ {\cal H} \oplus \hat{sl}(2)_2 \oplus \text{NSR}$ to obtain the explicit expressions for 4-point…

High Energy Physics - Theory · Physics 2013-02-22 Alexander Belavin , Baur Mukhametzhanov

We establish a correspondence between a conformally invariant complex scalar field action (with a conformal self-interaction potential) and the action of a phantom scalar field minimally coupled to gravity (with a cosmological constant). In…

High Energy Physics - Theory · Physics 2008-11-26 Mokhtar Hassaine

General properties of coordinate-space holographic projections of fields in AdS/CFT correspondence, which respect the Ward identity, are investigated. To show the usefulness of this methodology it is applied to the computation of…

High Energy Physics - Theory · Physics 2007-05-23 W. S. l'Yi

We consider a higher derivative scalar field theory in the presence of a boundary and a classically marginal interaction. We first investigate the free limit where the scalar obeys the square of the Klein-Gordon equation. In precisely $d=6$…

High Energy Physics - Theory · Physics 2024-11-26 Christopher P. Herzog , Yanjun Zhou

The concept of conformal field theory provides a general classification of statistical systems on two-dimensional geometries at the point of a continuous phase transition. Considering the finite-size scaling of certain special observables,…

Statistical Mechanics · Physics 2017-09-27 M. Weigel , W. Janke

The calculation of both spinor and tensor Green's functions in four-dimensional conformally invariant field theories can be greatly simplified by six-dimensional methods. For this purpose, four-dimensional fields are constructed as…

High Energy Physics - Theory · Physics 2014-11-21 Steven Weinberg

We show that the four-point functions in conformal field theory are defined as distributions on the boundary of the region of convergence of the conformal block expansion. The conformal block expansion converges in the sense of…

High Energy Physics - Theory · Physics 2020-06-24 Petr Kravchuk , Jiaxin Qiao , Slava Rychkov

We investigate a structure of a 4-dimensional bulk space constructed from the $O(N)$ invariant critical $\varphi^4$ model in 3-dimension using the conformal smearing. We calculate a bulk metric corresponding to the information metric and…

High Energy Physics - Theory · Physics 2024-11-12 Sinya Aoki , Kiyoharu Kawana , Kengo Shimada

Construction of a five dimensional conformal supergravity (D=5 CSG) is attempted by applying the AdS/CFT correspondence to the F(4) AdS supergravity in six dimensions. As a first step, local transformation laws of D=5 CSG have been…

High Energy Physics - Theory · Physics 2009-10-31 Madoka Nishimura

Scalar fields on the bulk side of AdS/CFT correspondence can be assigned unconventional boundary conditions, related to the conventional one by Legendre transform. One can further perform double trace deformations which relate the two…

High Energy Physics - Theory · Physics 2019-02-15 Steven Casper , William Cottrell , Akikazu Hashimoto , Andrew Loveridge , Duncan Pettengill

The Anti-de Sitter Space/Conformal Field Theory (AdS/CFT) correspondence may offer new and useful insights into the non-perturbative regime of strongly coupled gauge theories such as Quantum Chromodynamics (QCD). Recently a modified…

High Energy Physics - Phenomenology · Physics 2011-02-25 Thomas M. Kelley , Sean P. Bartz , Joseph I. Kapusta

Massive fields on anti-de Sitter (AdS) space enjoy galileon-like shift symmetries at particular values of their masses. We explore how these shift symmetries are realized through the boundary conformal field theory (CFT), at the level of…

High Energy Physics - Theory · Physics 2023-08-02 Erin Blauvelt , Laura Engelbrecht , Kurt Hinterbichler