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
Quantum spectral curve for arbitrary state/operator in AdS(5)/CFT4
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Trinity College Dublin, Ireland.ORCID iD: 0000-0003-0445-3456
Number of Authors: 42015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, article id 187Article in journal (Refereed) Published
Abstract [en]

We give a derivation of quantum spectral curve (QSC) - a finite set of Riemann-Hilbert equations for exact spectrum of planar N = 4 SYM theory proposed in our recent paper Phys. Rev. Lett. 112 (2014). We also generalize this construction to all local single trace operators of the theory, in contrast to the TBA-like approaches worked out only for a limited class of states. We reveal a rich algebraic and analytic structure of the QSC in terms of a so called Q-system - a finite set of Baxter-like Q-functions. This new point of view on the finite size spectral problem is shown to be completely compatible, though in a far from trivial way, with already known exact equations (analytic Y-system/TBA, or FiNLIE). We use the knowledge of this underlying Q-system to demonstrate how the classical finite gap solutions and the asymptotic Bethe ansatz emerge from our formalism in appropriate limits.

Place, publisher, year, edition, pages
2015. no 9, article id 187
Keywords [en]
AdS-CFT Correspondence, Integrable Field Theories
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-159552DOI: 10.1007/JHEP09(2015)187ISI: 000362292500001OAI: oai:DiVA.org:su-159552DiVA, id: diva2:1244666
Available from: 2018-09-03 Created: 2018-09-03 Last updated: 2018-09-03Bibliographically approved

Open Access in DiVA

No full text in DiVA

Other links

Publisher's full text

Search in DiVA

By author/editor
Gromov, NikolayLeurent, SebastienVolin, Dmytro
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
Total: 6 hits
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