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We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal symmetry, permutation symmetry, and conservation on the…

High Energy Physics - Theory · Physics 2018-04-04 Anatoly Dymarsky , Filip Kos , Petr Kravchuk , David Poland , David Simmons-Duffin

We analyze the constraints imposed by unitarity and crossing symmetry on the four-point function of the stress-tensor multiplet of ${\cal N}=8$ superconformal field theories in three dimensions. We first derive the superconformal blocks by…

High Energy Physics - Theory · Physics 2015-06-22 Shai M. Chester , Jaehoon Lee , Silviu S. Pufu , Ran Yacoby

Consistency with position space OPE limit requires momentum space CFT correlators to have only total energy singularity. We show that this requirement gives a simple proof of the known result that the parity-odd structure cannot exist for…

High Energy Physics - Theory · Physics 2022-03-02 Sachin Jain , Renjan Rajan John , Abhishek Mehta , Dhruva K. S

We derive constraints on three-point functions involving the stress tensor, $T$, and a conserved $U(1)$ current, $j$, in 2+1 dimensional conformal field theories that violate parity, using conformal collider bounds introduced by Hofman and…

High Energy Physics - Theory · Physics 2017-09-22 Subham Dutta Chowdhury , Justin R. David , Shiroman Prakash

Three-dimensional Chern-Simons vector models display an approximate higher spin symmetry in the large $N$ limit. Their single-trace operators consist of a tower of weakly broken currents, as well as a scalar $\sigma$ of approximate twist…

High Energy Physics - Theory · Physics 2018-09-26 Ofer Aharony , Luis F. Alday , Agnese Bissi , Ran Yacoby

We consider the four-point correlator of the stress tensor multiplet in N=4 SYM. We construct all solutions consistent with crossing symmetry in the limit of large central charge c ~ N^2 and large g^2 N. While we find an infinite tower of…

High Energy Physics - Theory · Physics 2015-06-22 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

We analytically study the lightcone limit of the conformal bootstrap equations for 4-point functions containing global symmetry currents and the stress tensor in 3d CFTs. We show that the contribution of the stress tensor to the anomalous…

High Energy Physics - Theory · Physics 2016-04-01 Daliang Li , David Meltzer , David Poland

We develop the conformal bootstrap program for six-dimensional conformal field theories with $(2,0)$ supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward…

High Energy Physics - Theory · Physics 2016-01-27 Christopher Beem , Madalena Lemos , Leonardo Rastelli , Balt C. van Rees

We show that general parity-violating 3d conformal field theories show a double copy structure for momentum space 3-point functions of conserved currents, stress tensor and marginal scalar operators. Splitting up the CFT correlator into two…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Abhishek Mehta , Amin A. Nizami , Adithya Suresh

The parity violating model based on teleparallel gravity is a competitive scheme for parity violating gravity, which has been preliminary studied in the literature. To further investigate the parity violating model in teleparallel gravity,…

General Relativity and Quantum Cosmology · Physics 2023-08-23 Haomin Rao , Dehao Zhao

In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in four dimensions via an analysis of the correlation function of four stress-tensor…

High Energy Physics - Theory · Physics 2019-07-24 Christopher Beem , Leonardo Rastelli , Balt C. van Rees

We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents…

High Energy Physics - Theory · Physics 2016-07-20 Luis F. Alday , Alexander Zhiboedov

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

We analyze the parity-odd correlators $\langle JJO\rangle_{odd}$, $\langle JJT\rangle_{odd}$, $\langle TTO\rangle_{odd}$ and $\langle TTT\rangle_{odd}$ in momentum space, constrained by conformal Ward identities, extending our former…

High Energy Physics - Theory · Physics 2024-08-06 Claudio Corianò , Stefano Lionetti , Matteo Maria Maglio

We examine very general four-point interactions arising due to new physics contributing to the Higgs production process e+e- --> HZ. We write all possible forms for these interactions consistent with Lorentz invariance. We allow the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Kumar Rao , Saurabh D. Rindani

Recently the galaxy matter density 4-point correlation function has been looked at to investigate parity violation in large scale structure surveys. The 4-point correlation function is the lowest order statistic which is sensitive to parity…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-19 Pritha Paul , Chris Clarkson , Roy Maartens

We study the constraints of crossing symmetry and unitarity in general 3D Conformal Field Theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for…

High Energy Physics - Theory · Physics 2014-12-05 Sheer El-Showk , Miguel F. Paulos , David Poland , Slava Rychkov , David Simmons-Duffin , Alessandro Vichi

We present calculations of nuclear-spin-dependent and nuclear-spin-independent parity violating amplitudes in Ba, Ra, Ac+, Th and Pa. Parity nonconservation in these systems is greatly enhanced due to the presence of very close electronic…

Atomic Physics · Physics 2014-04-23 B. M. Roberts , V. A. Dzuba , V. V. Flambaum

This paper focuses on the analysis of $4d$ $\mathcal{N}=4$ superconformal theories in the presence of a defect from the point of view of the conformal bootstrap. We will concentrate first on the case of codimension one, where the defect is…

High Energy Physics - Theory · Physics 2017-03-08 Pedro Liendo , Carlo Meneghelli

Measurements of parity-violating longitudinal analyzing powers (normalized asymmetries) in polarized proton-proton scattering provide a unique window on the interplay between the weak and strong interactions between and within hadrons.…

Nuclear Experiment · Physics 2015-06-26 W. T. H. van Oers , for E497 collaboration
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