120 citations · 708 across the 20 of their papers we have counts for
20 papers
Unleash ! Cohomology, Localization, and Interpolation in Parisi-Sourlas Supersymmetry
Bruno Le Floch, Gela Patashuri, Emilio Trevisani
Parisi-Sourlas supersymmetric models are known to undergo dimensional reduction; that is, their physics is captured by models in two fewer dimensions. In this work, we revisit dime…
Analytic results in conformal field theory
Philine van Vliet, Emilio Trevisani, Ingo Runkel +4
Since the 1980s, many exact results have been discovered in CFT, from critical exponents to correlation functions to complete solutions of certain models. In , there is a…
A Tale of Two Uplifts: Parisi-Sourlas with Defects
Kausik Ghosh, Emilio Trevisani
Defects in conformal field theories (CFTs) play a key role in critical phenomena by modifying scaling behaviors and generating new universality classes. We introduce Parisi-Sourlas…
The random free field scalar theory
Alessandro Piazza, Marco Serone, Emilio Trevisani
Quantum field theories with quenched disorder are so hard to study that even exactly solvable free theories present puzzling aspects. We consider a free scalar field in dim…
The Parisi-Sourlas Uplift and Infinitely Many Solvable 4d CFTs
Emilio Trevisani
Parisi-Sourlas (PS) supersymmetry is known to emerge in some models with random field type of disorder. When PS SUSY is present the -dimensional theory allows for a -dimens…
Symmetries in Celestial CFT
Yorgo Pano, Andrea Puhm, Emilio Trevisani
We use tools from conformal representation theory to classify the symmetries associated to conformally soft operators in celestial CFT (CCFT) in general dimensions . The conform…
Random Field Model and Parisi-Sourlas Supersymmetry
Apratim Kaviraj, Emilio Trevisani
We use the RG framework set up in arXiv:2009.10087 to explore the theory with a random field interaction. According to the Parisi-Sourlas conjecture this theory admits a fixe…
The fate of Parisi-Sourlas supersymmetry in Random Field models
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
By the Parisi-Sourlas conjecture, the critical point of a theory with random field (RF) disorder is described by a supersymmeric (SUSY) conformal field theory (CFT), related to a $…
Revisiting the Conformally Soft Sector with Celestial Diamonds
Sabrina Pasterski, Andrea Puhm, Emilio Trevisani
Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators ap…
Celestial Diamonds: Conformal Multiplets in Celestial CFT
Sabrina Pasterski, Andrea Puhm, Emilio Trevisani
We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin we cla…
Random Field Ising Model and Parisi-Sourlas Supersymmetry. Part II. Renormalization Group
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
We revisit perturbative RG analysis in the replicated Landau-Ginzburg description of the Random Field Ising Model near the upper critical dimension 6. Working in a field basis with…
Random Field Ising Model and Parisi-Sourlas Supersymmetry I. Supersymmetric CFT
Apratim Kaviraj, Slava Rychkov, Emilio Trevisani
Quenched disorder is very important but notoriously hard. In 1979, Parisi and Sourlas proposed an interesting and powerful conjecture about the infrared fixed points with random fi…
Mixed Scalar-Current bootstrap in three dimensions
Marten Reehorst, Emilio Trevisani, Alessandro Vichi
We study the mixed system of correlation functions involving a scalar field charged under a global symmetry and the associated conserved spin-1 current . Using numerica…
Spinning operators and defects in conformal field theory
Edoardo Lauria, Marco Meineri, Emilio Trevisani
We study the kinematics of correlation functions of local and extended operators in a conformal field theory. We present a new method for constructing the tensor structures associa…
Radial coordinates for defect CFTs
Edoardo Lauria, Marco Meineri, Emilio Trevisani
We study the two-point function of local operators in the presence of a defect in a generic conformal field theory. We define two pairs of cross ratios, which are convenient in the…
Charting the space of 3D CFTs with a continuous global symmetry
Anatoly Dymarsky, Joao Penedones, Emilio Trevisani +1
We study correlation functions of a conserved spin-1 current in three dimensional Conformal Field Theories (CFTs). We investigate the constraints imposed by permutation symme…
Radial expansion for spinning conformal blocks
Miguel S. Costa, Tobias Hansen, João Penedones +1
This paper develops a method to compute any bosonic conformal block as a series expansion in the optimal radial coordinate introduced by Hogervorst and Rychkov. The method reduces…
Projectors and seed conformal blocks for traceless mixed-symmetry tensors
Miguel S. Costa, Tobias Hansen, João Penedones +1
In this paper we derive the projectors to all irreducible SO(d) representations (traceless mixed-symmetry tensors) that appear in the partial wave decomposition of a conformal corr…
Recursion Relations for Conformal Blocks
João Penedones, Emilio Trevisani, Masahito Yamazaki
In the context of conformal field theories in general space-time dimension, we find all the possible singularities of the conformal blocks as functions of the scaling dimension …
Factorization of Mellin amplitudes
Vasco Gonçalves, João Penedones, Emilio Trevisani
We introduce Mellin amplitudes for correlation functions of scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mel…