Work

One-point functions of non-protected operators in the SO (5) symmetric D3–D7 dCFT

Year: 2017

Type: article

Abstract: We study tree level one-point functions of non-protected scalar operators in the defect CFT, based on N = 4 SYM, which is dual to the SO (5) symmetric D3–D7 probe brane system with non-vanishing instanton number. Whereas symmetries prevent operators from the SU (2) and SU (3) sub-sectors from having non-vanishing one-point functions, more general scalar conformal operators, which in particular constitute Bethe eigenstates of the integrable SO (6) spin chain, are allowed to have non-trivial one-point functions. For a series of operators with a small number of excitations we find closed expressions in terms of Bethe roots for these one-point functions, valid for any value of the instanton number. In addition, we present some numerical results for operators with more excitations.

Source: Journal of Physics A Mathematical and Theoretical

DOI: 10.1088/1751-8121/aa714b

Authors: Marius de Leeuw, Charlotte Kristjansen, Georgios Linardopoulos

Institutions: University of Copenhagen, National and Kapodistrian University of Athens, Institute of Nuclear and Particle Physics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Natur og Univers, Det Frie Forskningsråd

Awards: G2934380699, G4839074953