String integrability of defect CFT and dynamical reflection matrices

Journal of High Energy Physics

Georgios Linardopoulos¹  Konstantin Zarembo² 

[1] Institute of Nuclear and Particle Physics, National Centre for Scientific Research, “Demokritos”, 153 10, Agia Paraskevi, Greece;Nordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, SE-106 91, Stockholm, Sweden;Niels Bohr Institute, Copenhagen University, Blegdamsvej 17, 2100, Copenhagen, Denmark;

关键词: AdS-CFT Correspondence;    D-branes;    Integrable Field Theories;    Integrable Hierarchies;   

DOI  :  10.1007/JHEP05(2021)203

来源: Springer

【 摘 要 】

The D3-D5 probe-brane system is holographically dual to a defect CFT which is known to be integrable. The evidence comes mainly from the study of correlation functions at weak coupling. In the present work we shed light on the emergence of integrability on the string theory side. We do so by constructing the double row transfer matrix which is conserved when the appropriate boundary conditions are imposed. The corresponding reflection matrix turns out to be dynamical and depends both on the spectral parameter and the string embedding coordinates.

【 授权许可】

CC BY