Conference Presentation (Invited)

PUBDB-2025-01914

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Algebraic Structures and Open Problems in AdS/CFT Integrability

Lai, D. (Corresponding author)DESY*

2025

Abstract: Since the early 2000s, the discovery of integrable sectors in the AdS/CFT correspondence has established a deep connection between string theory, quantum groups, and exactly solvable models. In this framework, the R-matrix in specific representations encodes the scattering properties of interacting strings through quantum group symmetries. While integrability has led to major successes in computing the energy spectrum, a complete algebraic formulation in terms of a universal R-matrix is still needed to fully understand scattering amplitudes. In this talk, I will review the known structures and highlight key open problems, along with some recent ideas and potential directions that merit further investigation.

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)460391856 - Feldtheorie lösen mittels Integrabilität (460391856) (460391856)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

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