6 papers
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…