46 citations · 221 across the 12 of their papers we have counts for
14 papers
Thermal One-point Functions and Their Partial Wave Decomposition
Ilija Buric, Francesco Russo, Volker Schomerus +1
In this work we address partial wave decompositions of thermal one-point functions in conformal field theories on . With the help of Casimir differential equati…
Spinning Partial Waves for Scattering Amplitudes in Dimensions
Ilija Buric, Francesco Russo, Alessandro Vichi
Partial wave decomposition is one of the main tools within the modern S-matrix studies. We present a method to compute partial waves for scattering of spinning particles in…
Universal Spinning Casimir Equations and Their Solutions
Ilija Buric, Volker Schomerus
Conformal blocks are a central analytic tool for higher dimensional conformal field theory. We employ Harish-Chandra's radial component map to construct universal Casimir different…
The fuzzy BTZ
Ilija Buric, Maja Buric
We introduce a model of a noncommutative BTZ black hole, obtained by quantisation of Poincaré coordinates together with a moving frame. The fuzzy BTZ black hole carries a covariant…
Gaudin Models and Multipoint Conformal Blocks III: Comb channel coordinates and OPE factorisation
Ilija Buric, Sylvain Lacroix, Jeremy A. Mann +2
We continue the exploration of multipoint scalar comb channel blocks for conformal field theories in 3D and 4D. The central goal here is to construct novel comb channel cross ratio…
Gaudin Models and Multipoint Conformal Blocks II: Comb channel vertices in 3D and 4D
Ilija Buric, Sylvain Lacroix, Jeremy A. Mann +2
It was recently shown that multi-point conformal blocks in higher dimensional conformal field theory can be considered as joint eigenfunctions for a system of commuting differentia…
Gaudin Models and Multipoint Conformal Blocks: General Theory
Ilija Buric, Sylvain Lacroix, Jeremy Mann +2
The construction of conformal blocks for the analysis of multipoint correlation functions with local field insertions is an important open problem in higher dimensional con…
Defect Conformal Blocks from Appell Functions
Ilija Buric, Volker Schomerus
We develop a group theoretical formalism to study correlation functions in defect conformal field theory, with multiple insertions of bulk and defect fields. This formalism is appl…
Crossing Symmetry for Long Multiplets in 4D SCFTs
Ilija Buric, Volker Schomerus, Evgeny Sobko
In this work we construct the crossing symmetry equations for mixed correlators of two long and two BPS operators in 4D SCFTs. The analysis presented here illustrat…
From Gaudin Integrable Models to -dimensional Multipoint Conformal Blocks
Ilija Buric, Sylvain Lacroix, Jeremy A. Mann +2
In this work we initiate an integrability-based approach to multipoint conformal blocks for higher dimensional conformal field theories. Our main observation is that conformal bloc…
Harmonic Analysis in d-dimensional Superconformal Field Theory
Ilija Buric
Superconformal blocks and crossing symmetry equations are among central ingredients in any superconformal field theory. We review the approach to these objects rooted in harmonic a…
The Superconformal Xing Equation
Ilija Burić, Volker Schomerus, Evgeny Sobko
Crossing symmetry provides a powerful tool to access the non-perturbative dynamics of conformal and superconformal field theories. Here we develop the mathematical formalism that a…
Conformal Group Theory of Tensor Structures
Ilija Buric, Mikhail Isachenkov, Volker Schomerus
The decomposition of correlation functions into conformal blocks is an indispensable tool in conformal field theory. For spinning correlators, non-trivial tensor structures are nee…
Superconformal Blocks: General Theory
Ilija Buric, Volker Schomerus, Evgeny Sobko
In this work we launch a systematic theory of superconformal blocks for four-point functions of arbitrary supermultiplets. Our results apply to a large class of superconformal fiel…