OPE coefficients and the mass-gap from the integrable scattering description of 2D CFT’s

Journal of High Energy Physics

Regular Article - Theoretical Physics

Romuald A. Janik¹  Zoltan Bajnok² 

[1] Institute of Theoretical Physics, Jagiellonian University, ul. Łojasiewicza 11, 30-348, Kraków, Poland;Wigner Research Centre for Physics, Konkoly-Thege Miklós út 29-33, 1121, Budapest, Hungary;

关键词: Integrable Field Theories;    Field Theories in Lower Dimensions;    Bethe Ansatz;    Scale and Conformal Symmetries;   

DOI  :  10.1007/JHEP11(2022)128

 received in 2022-09-27, accepted in 2022-11-13,  发布年份 2022

来源: Springer

【 摘 要 】

Many two-dimensional conformal field theories have an alternative integrable scattering description, which reproduces their spectrum of conformal weights. Taking as an example the case of the Lee-Yang nonunitary CFT and the 3-state Potts minimal model, we derive formulas, in terms of their integrable description, for the OPE coefficients of a certain specific primary operator and two identical but otherwise essentially arbitrary operators. As a side result we also obtain a novel formula for the mass-gap relation for the integrable massive deformation of the CFT. These results are obtained through expressing the first nontrivial coefficient in the UV expansion of the energy in terms of the integrable CFT data, i.e. the kink and anti-kink TBA solutions.

【 授权许可】

Unknown   
© The Author(s) 2022

【 图 表 】

Fig. 2