Change search
ReferencesLink to record
Permanent link

Direct link
One-point functions in AdS/dCFT from matrix product states
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Stockholm University, Sweden; Uppsala University, Sweden.
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 2, 052Article in journal (Refereed) PublishedText
Abstract [en]

One-point functions of certain non-protected scalar operators in the defect CFT dual to the D3-D5 probe brane system with k units of world volume flux can be expressed as overlaps between Bethe eigenstates of the Heisenberg spin chain and a matrix product state. We present a closed expression of determinant form for these one-point functions, valid for any value of k. The determinant formula factorizes into the k = 2 result times a k-dependent pre-factor. Making use of the transfer matrix of the Heisenberg spin chain we recursively relate the matrix product state for higher even and odd k to the matrix product state for k = 2 and k = 3 respectively. We furthermore find evidence that the matrix product states for k = 2 and k = 3 are related via a ratio of Baxter's Q-operators. The general k formula has an interesting thermodynamical limit involving a non-trivial scaling of k, which indicates that the match between string and field theory one-point functions found for chiral primaries might be tested for non-protected operators as well. We revisit the string computation for chiral primaries and discuss how it can be extended to non-protected operators.

Place, publisher, year, edition, pages
Springer, 2016. no 2, 052
Keyword [en]
AdS-CFT Correspondence, Bethe Ansatz, Lattice Integrable Models, 1/N Expansion
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-183317DOI: 10.1007/JHEP02(2016)052ISI: 000370001200001ScopusID: 2-s2.0-84958178935OAI: oai:DiVA.org:kth-183317DiVA: diva2:910543
Note

QC 20160309. QC 20160319

Available from: 2016-03-09 Created: 2016-03-07 Last updated: 2016-03-23Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Zarembo, Konstantin
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: 19 hits
ReferencesLink to record
Permanent link

Direct link