Speaker
Dr
Edoardo Vescovi
(Imperial College London)
Description
In this talk, based on [1906.07733] with Y. Jiang and S. Komatsu, we derive the first non-perturbative result for the structure constants of two determinant operators and a non-BPS single-trace operator of finite length in planar $\mathcal{N}=4$ SYM. First, we introduce a new method based on large-N collective fields, which efficiently computes correlators of such non-single-trace operators in free theory and also realizes an example of Gopakumar's "open-closed-open" string triality. The form of the result supports the interpretation of the three-point function as an overlap between an integrable boundary state, which we determine using symmetry and integrability, and the state describing the single-trace operator. Second, we use thermodynamic Bethe ansatz to derive a non-perturbative expression for such overlap with an excited state in the SL(2) sector. Finally, we briefly discuss some interesting applications that could be addressed with the present methods.
Primary author
Dr
Edoardo Vescovi
(Imperial College London)
Co-authors
Dr
Shota Komatsu
(Institute for Advanced Study)
Dr
Yunfeng Jiang
(CERN)
