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One-point functions in beta-deformed N=4 SYM with defect
Stockholm University, Nordic Institute for Theoretical Physics (Nordita). Uppsala University, Sweden.
Number of Authors: 12018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 11, article id 114Article in journal (Refereed) Published
Abstract [en]

We generalize earlier results on one-point functions in N = 4 SYM with a codimension one defect, dual to the D3-D5-brane setup in type IIB string theory on AdS(5)xS(5), to a similar setup in the beta-deformed version of the theory. The treelevel vacuum expectation values of single-trace operators in the two-scalar-subsector are expressed as overlaps between a matrix product state (MPS) and Bethe states in the corresponding twisted spin-chain picture. We comment on the properties of this MPS and present the simplest analytical overlaps and their behavior in a certain limit (of large k). Importantly, we note that the deformation alters earlier interpretations of the MPS as an integrable boundary state, seemingly obstructing simpli fi cations of the overlaps analogous to the compact determinant formula found in the non-deformed theory. The results are supplemented with some supporting numerical results for operators of length eight with four excitations.

Place, publisher, year, edition, pages
2018. no 11, article id 114
Keywords [en]
AdS-CFT Correspondence, Duality in Gauge Field Theories, Integrable Field Theories, Lattice Integrable Models
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-162775DOI: 10.1007/JHEP11(2018)114ISI: 000450854500001OAI: oai:DiVA.org:su-162775DiVA, id: diva2:1274128
Available from: 2018-12-28 Created: 2018-12-28 Last updated: 2018-12-28Bibliographically approved

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Widén, Erik
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