Report/Journal Article

PUBDB-2016-03319

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Superintegrability of $d$-Dimensional Conformal Blocks

Isachenkov, M.DESY* ; Schomerus, V.DESY*

2016
APS College Park, Md.

This record in other databases:          

Please use a persistent id in citations: doi:10.1103/PhysRevLett.117.071602  doi:10.3204/PUBDB-2016-03319

Report No.: DESY-16-026

Abstract: We observe that conformal blocks of scalar four-point functions in a $d$-dimensional conformal fieldtheory can be mapped to eigenfunctions of a two-particle hyperbolic Calogero-Sutherland Hamiltonian.The latter describes two coupled Pöschl-Teller particles. Their interaction, whose strength dependssmoothly on the dimension $d$, is known to be superintegrable. Our observation enables us to exploit the richmathematical literature on Calogero-Sutherland models in deriving various results for conformal fieldtheory. These include an explicit construction of conformal blocks in terms of Heckman-Opdamhypergeometric functions. We conclude with a short outlook, in particular, on the consequences ofintegrability for the theory of conformal blocks.

---

Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
2. GATIS - Gauge Theory as an Integrable System (317089) (317089)
3. EXQFT - Exact Results in Quantum Field Theory (335182) (335182)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2016

---

Database coverage:
; ; ; Current Contents - Physical, Chemical and Earth Sciences ; Ebsco Academic Search ; IF >= 5 ; JCR ; NCBI Molecular Biology Database ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

---