Change search
ReferencesLink to record
Permanent link

Direct link
Quantum spectral curve for arbitrary state/operator in AdS(5)/CFT4
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Trinity College Dublin, Ireland.
2015 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 9, 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, 187
Keyword [en]
AdS-CFT Correspondence, Integrable Field Theories
National Category
Physical Sciences
URN: urn:nbn:se:kth:diva-175922DOI: 10.1007/JHEP09(2015)187ISI: 000362292500001ScopusID: 2-s2.0-84942942065OAI: diva2:867004
European Science Foundation (ESF), HOLOGRAV-09- RNP- 092EU, European Research Council, 317089EU, FP7, Seventh Framework Programme, 320769EU, European Research Council, 290456

QC 20151104

Available from: 2015-11-04 Created: 2015-10-26 Last updated: 2015-11-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Volin, 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
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 8 hits
ReferencesLink to record
Permanent link

Direct link