Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
From spinning conformal blocks to matrix Calogero-Sutherland models
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 22018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 4, article id 052Article in journal (Refereed) Published
Abstract [en]

In this paper we develop further the relation between conformal four-point blocks involving external spinning fields and Calogero-Sutherland quantum mechanics with matrix-valued potentials. To this end, the analysis of [1] is extended to arbitrary dimensions and to the case of boundary two-point functions. In particular, we construct the potential for any set of external tensor fields. Some of the resulting Schrodinger equations are mapped explicitly to the known Casimir equations for 4-dimensional seed conformal blocks. Our approach furnishes solutions of Casimir equations for external fields of arbitrary spin and dimension in terms of functions on the conformal group. This allows us to reinterpret standard operations on conformal blocks in terms of group-theoretic objects. In particular, we shall discuss the relation between the construction of spinning blocks in any dimension through differential operators acting on seed blocks and the action of left/right invariant vector fields on the conformal group.

Place, publisher, year, edition, pages
2018. no 4, article id 052
Keywords [en]
Conformal and W Symmetry, Conformal Field Theory, Differential and Algebraic Geometry, Field Theories in Higher Dimensions
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-156738DOI: 10.1007/JHEP04(2018)052ISI: 000430128700001OAI: oai:DiVA.org:su-156738DiVA, id: diva2:1219858
Available from: 2018-06-18 Created: 2018-06-18 Last updated: 2018-06-18Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Sobko, Evgeny
By organisation
Nordic Institute for Theoretical Physics (Nordita)
In the same journal
Journal of High Energy Physics (JHEP)
Physical Sciences

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf