papers

Publications (20)

hep-th2021

On duality of color and kinematics in (A)dS momentum space

Soner Albayrak, Savan Kharel, David Meltzer

We explore color-kinematic duality for tree-level AdS/CFT correlators in momentum space. We start by studying the bi-adjoint scalar in AdS at tree-level as an illustrative example.…

hep-th2022

Detectors in weakly-coupled field theories

Simon Caron-Huot, Murat Kologlu, Petr Kravchuk +2

We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a coll…

hep-th2021

The Inflationary Wavefunction from Analyticity and Factorization

David Meltzer

We study the analytic properties of tree-level wavefunction coefficients in quasi-de Sitter space. We focus on theories which spontaneously break dS boost symmetries and can produc…

hep-th2020

Unitarity Methods in AdS/CFT

David Meltzer, Eric Perlmutter, Allic Sivaramakrishnan

We develop a systematic unitarity method for loop-level AdS scattering amplitudes, dual to non-planar CFT correlators, from both bulk and boundary perspectives. We identify cut ope…

hep-th2021

CFT Unitarity and the AdS Cutkosky Rules

David Meltzer, Allic Sivaramakrishnan

We derive the Cutkosky rules for conformal field theories (CFTs) at weak and strong coupling. These rules give a simple, diagrammatic method to compute the double-commutator that a…

hep-th2016

Non-Abelian Binding Energies from the Lightcone Bootstrap

Daliang Li, David Meltzer, David Poland

We analytically study the lightcone limit of the conformal bootstrap for 4-point functions containing scalars charged under global symmetries. We show the existence of large spin d…

hep-th2016

Conformal Collider Physics from the Lightcone Bootstrap

Daliang Li, David Meltzer, David Poland

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 t…

hep-th2020

The Lorentzian inversion formula and the spectrum of the 3d O(2) CFT

Junyu Liu, David Meltzer, David Poland +1

We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 (, , and…

hep-th2017

Beyond : Gravitational Couplings to Matter and the Stress Tensor OPE

David Meltzer, Eric Perlmutter

We derive constraints on the operator product expansion of two stress tensors in conformal field theories (CFTs), both generic and holographic. We point out that in large CFTs…

hep-th2016

A Proof of the Conformal Collider Bounds

Diego M. Hofman, Daliang Li, David Meltzer +2

In this paper, we prove that the "conformal collider bounds" originally proposed by Hofman and Maldacena hold for any unitary parity-preserving conformal field theory (CFT) with a…

hep-th2021

Dispersion Formulas in QFTs, CFTs, and Holography

David Meltzer

We study momentum space dispersion formulas in general QFTs and their applications for CFT correlation functions. We show, using two independent methods, that QFT dispersion formul…

hep-th2020

AdS/CFT Unitarity at Higher Loops: High-Energy String Scattering

David Meltzer

What is the space of weakly-coupled, gravitational theories which contain massive, higher-spin particles? This class of theories is highly constrained and it is conjectured their u…

hep-th2020

Model-Dependence of Minimal-Twist OPEs in Holographic CFTs

A. Liam Fitzpatrick, Kuo-Wei Huang, David Meltzer +2

Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge , we clarify the properties of stress tensor…

hep-th2020

Bounds on Triangle Anomalies in (3+1)d

Ying-Hsuan Lin, David Meltzer, Shu-Heng Shao +1

How many charged degrees of freedom are necessary to accommodate a certain amount of 't Hooft anomaly? Using the conformal bootstrap for the four-point function of flavor current m…

hep-th2020

The Inversion Formula and 6j Symbol for 3d Fermions

Soner Albayrak, David Meltzer, David Poland

In this work we study the symbol of the conformal group for fermionic operators. In particular, we study 4-point functions containing two fermions and two scalars and als…

hep-th2017

Conformal Bootstrap in the Regge Limit

Daliang Li, David Meltzer, David Poland

We analytically solve the conformal bootstrap equations in the Regge limit for large N conformal field theories. For theories with a parametrically large gap, the amplitude is domi…

hep-th2019

More Analytic Bootstrap: Nonperturbative Effects and Fermions

Soner Albayrak, David Meltzer, David Poland

We develop the analytic bootstrap in several directions. First, we discuss the appearance of nonperturbative effects in the Lorentzian inversion formula, which are exponentially su…

cs.LG2025

Catapult Dynamics and Phase Transitions in Quadratic Nets

David Meltzer, Min Chen, Junyu Liu

Neural networks trained with gradient descent can undergo non-trivial phase transitions as a function of the learning rate. In \cite{lewkowycz2020large} it was discovered that wide…

hep-th2017

Bootstrapping Mixed Correlators in 4D SCFTs

Daliang Li, David Meltzer, Andreas Stergiou

The numerical conformal bootstrap is used to study mixed correlators in superconformal field theories (SCFTs) in spacetime dimensions. Systems of four-point f…

hep-th2019

Higher Spin ANEC and the Space of CFTs

David Meltzer

We study the positivity properties of the leading Regge trajectory in higher-dimensional, unitary, conformal field theories (CFTs). These conditions correspond to higher spin gener…