Exact Results in Extended Holography

The study of integrable models in the AdS/CFT correspondence has provided deep insights into string theory, the holographic principle, and the finite coupling behavior of quantum field theory. This research group is aiming to extend this approach beyond supersymmetric and conformal theoriesby studying integrable deformations of the AdS5 × S5 superstring and their conjectured dual field theories, thereby producing both new theories and new perspectives on well-established ones. The goals of the extension of this project are 1), to continue the group’s development of the (noncommutative) field theory side of integrable deformations of AdS/CFT, building on exciting recent successes, and moreover 2), to continue the systematic study of Yang-Baxter deformations in the simpler setting of flat space, at the quantum level, providing important insight for the corresponding deformations of AdS5 × S5. By developing exact results and methods, this programme will continue to provide new insights in string theory, holography, and quantum field theory, at finite coupling, beyond the superconformal regime. This project fosters connections with other areas of theoretical and mathematical physics such as supergravity, general integrable models, and noncommutative geometry.