The superconformal equation
Abstract 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 allows to construct the crossing equations for arbitrary four-point functions in theories with superconformal sy...
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doaj-06d812e586b04c628ad441e939d89bba2020-11-25T03:32:44ZengSpringerOpenJournal of High Energy Physics1029-84792020-10-0120201014410.1007/JHEP10(2020)147The superconformal equationIlija Burić0Volker Schomerus1Evgeny Sobko2DESYDESYUniversity of SouthamptonAbstract 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 allows to construct the crossing equations for arbitrary four-point functions in theories with superconformal symmetry of type I, including all superconformal field the- ories in d = 4 dimensions. Our advance relies on a supergroup theoretic construction of tensor structures that generalizes an approach which was put forward in [1] for bosonic theories. When combined with our recent construction of the relevant superblocks, we are able to derive the crossing symmetry constraint in particular for four-point functions of arbitrary long multiplets in all 4-dimensional superconformal field theories.http://link.springer.com/article/10.1007/JHEP10(2020)147Conformal and W SymmetryConformal Field TheoryField Theories in Higher DimensionsSuperspaces |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ilija Burić Volker Schomerus Evgeny Sobko |
spellingShingle |
Ilija Burić Volker Schomerus Evgeny Sobko The superconformal equation Journal of High Energy Physics Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Superspaces |
author_facet |
Ilija Burić Volker Schomerus Evgeny Sobko |
author_sort |
Ilija Burić |
title |
The superconformal equation |
title_short |
The superconformal equation |
title_full |
The superconformal equation |
title_fullStr |
The superconformal equation |
title_full_unstemmed |
The superconformal equation |
title_sort |
superconformal equation |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2020-10-01 |
description |
Abstract 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 allows to construct the crossing equations for arbitrary four-point functions in theories with superconformal symmetry of type I, including all superconformal field the- ories in d = 4 dimensions. Our advance relies on a supergroup theoretic construction of tensor structures that generalizes an approach which was put forward in [1] for bosonic theories. When combined with our recent construction of the relevant superblocks, we are able to derive the crossing symmetry constraint in particular for four-point functions of arbitrary long multiplets in all 4-dimensional superconformal field theories. |
topic |
Conformal and W Symmetry Conformal Field Theory Field Theories in Higher Dimensions Superspaces |
url |
http://link.springer.com/article/10.1007/JHEP10(2020)147 |
work_keys_str_mv |
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1724566264431509504 |