201 citations · 490 across the 8 of their papers we have counts for
8 papers
Gorenstein homogeneous subrings of graphs
Lourdes Cruz, Enrique Reyes, Jonathan Toledo
Let be a connected simple graph, with vertices such that is its homogeneous monomial subring. We prove that if is normal and Gorenstein, then is unmixed w…
The S-matrix Bootstrap IV: Multiple Amplitudes
Alexandre Homrich, Joao Penedones, Jonathan Toledo +2
We explore the space of consistent three-particle couplings in -symmetric two-dimensional QFTs using two first-principles approaches. Our first approach relies solely…
Monomial ideals of weighted oriented graphs
Yuriko Pitones, Enrique Reyes, Jonathan Toledo
Let I=I(D) be the edge ideal of a weighted oriented graph D. We determine the irredundant irreducible decomposition of I. Also, we characterize the associated primes and the unmixe…
The S-matrix Bootstrap III: Higher Dimensional Amplitudes
Miguel F. Paulos, Joao Penedones, Jonathan Toledo +2
We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 3+1 dimensions due to crossing symmetry, analyticity and unitarity. We extremize cu…
The S-matrix Bootstrap II: Two Dimensional Amplitudes
Miguel F. Paulos, Joao Penedones, Jonathan Toledo +2
We consider constraints on the S-matrix of any gapped, Lorentz invariant quantum field theory in 1 + 1 dimensions due to crossing symmetry and unitarity. In this way we establish r…
The S-matrix Bootstrap I: QFT in AdS
Miguel F. Paulos, Joao Penedones, Jonathan Toledo +2
We propose a strategy to study massive Quantum Field Theory (QFT) using conformal bootstrap methods. The idea is to consider QFT in hyperbolic space and study correlation functions…