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20232026
most citedBootstrapping Boundary QED Part I

4 citations · 4 across the 5 of their papers we have counts for

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hep-th2026

Defect conformal field theories with free-in-the-bulk fermions

Christopher P. Herzog, Daniel Lloyd-Jones

We study codimension-two conformal defects for massless fermions that are free in a four-dimensional bulk, but interact on a two-dimensional defect. The bulk Dirac equation strongl…

hep-th2025

How to get an interacting conformal line defect for free theories

Samuel Bartlett-Tisdall, Dongsheng Ge, Christopher P. Herzog

We argue that interacting conformal line defects in free quantum field theories can exist, provided that inversion symmetry is broken. Important for our demonstration is the existe…

hep-th2025

Magnetised Bounds for Conformal Field Theories

Christopher P. Herzog, William H. Pannell, Biswajit Sahoo +1

Aspects of parity-preserving, charge-conjugation-invariant, three-dimensional conformal field theories (CFTs) with a global symmetry in the presence of a background magnetic…

hep-th2024

A Nonlocal Schwinger Model

Ludovic Fraser-Taliente, Christopher P. Herzog, Abhay Shrestha

We solve a system of massless fermions constrained to two space-time dimensions interacting via a space-time dimensional Maxwell field. Through dimensional reduction to the def…

hep-th2024

An Atlas for 3d Conformal Field Theories with a U(1) Global Symmetry

Samuel Bartlett-Tisdall, Christopher P. Herzog, Vladimir Schaub

We present a collection of numerical bootstrap computations for 3d CFTs with a U(1) global symmetry. We test the accuracy of our method and fix conventions through a computation of…

hep-th2024

An Interacting, Higher Derivative, Boundary Conformal Field Theory

Christopher P. Herzog, Yanjun Zhou

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…

hep-th2024

Extremal fixed points and Diophantine equations

Christopher P. Herzog, Christian B. Jepsen, Hugh Osborn +1

The coupling constants of fixed points in the expansion at one loop are known to satisfy a quadratic bound due to Rychkov and Stergiou. We refer to fixed points that saturate t…

hep-th2023★ 4 cited

Bootstrapping Boundary QED Part I

Samuel Bartlett-Tisdall, Christopher P. Herzog, Vladimir Schaub

We use the numerical conformal bootstrap to study boundary quantum electrodynamics, the theory of a four dimensional photon in a half space coupled to charged conformal matter on t…