Gaudin models and multipoint conformal blocks: general theory
| Autor: | Lorenzo Quintavalle, Ilija Buric, Volker Schomerus, Sylvain Lacroix, Jeremy A. Mann |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Pure mathematics operator differential Integrable system integrability [model] Open problem conformal block Dimension (graph theory) FOS: Physical sciences Conformal map QC770-798 01 natural sciences operator product expansion Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences ddc:530 Differential and Algebraic Geometry model integrability correlation function 010306 general physics conformal [field theory] Eigenvalues and eigenvectors field theory: conformal Physics Conformal Field Theory Series (mathematics) Gaudin model 010308 nuclear & particles physics Conformal field theory Space-Time Symmetries Integrable Hierarchies Differential operator differential [operator] model: integrability operator: differential High Energy Physics - Theory (hep-th) higher-dimensional field theory conformal |
| Zdroj: | Journal of High Energy Physics 1-52 (2021). doi:10.3204/PUBDB-2021-02358 Journal of High Energy Physics, Vol 2021, Iss 10, Pp 1-47 (2021) Journal of high energy physics 10(10), 139 (2021). doi:10.1007/JHEP10(2021)139 |
| DOI: | 10.3204/PUBDB-2021-02358 |
| Popis: | Journal of high energy physics 10(10), 139 (2021). doi:10.1007/JHEP10(2021)139 The construction of conformal blocks for the analysis of multipoint correlation functions with N > 4 local field insertions is an important open problem in higher dimensional conformal field theory. This is the first in a series of papers in which we address this challenge, following and extending our short announcement in [1]. According to Dolan and Osborn, conformal blocks can be determined from the set of differential eigenvalue equations that they satisfy. We construct a complete set of commuting differential operators that characterize multipoint conformal blocks for any number N of points in any dimension and for any choice of OPE channel through the relation with Gaudin integrable models we uncovered in [1]. For 5-point conformal blocks, there exist five such operators which are worked out smoothly in the dimension d. Published by SISSA, [Trieste] |
| Databáze: | OpenAIRE |
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