2026-09-19T00:14:58Zhttps://digital.lib.washington.edu/server/oai/request

oai:digital.lib.washington.edu:1773/528592026-06-09T17:13:45Zcom_1773_4888col_1773_4956

Paquette, Natalie Fernández, Víctor Eduardo 2025-01-23T20:12:57Z 2025-01-23 2024 FernxE1ndez_washington_0250E_27583.pdf https://hdl.handle.net/1773/52859 Thesis (Ph.D.)--University of Washington, 2024 In this thesis, we will explain how the techniques of Koszul duality and associativity can be used to completely determine certain celestial chiral algebras, characterizing collinear splitting functions not just at tree-level but to arbitrary loop order. To apply this technique, and indeed for the celestial chiral algebra to exist, the corresponding 4d massless theory must admit a local gauge-anomaly-free lift to twistor space. We will also use Koszul duality in a different context, the AdS/CFT correspondence, to determine the planar chiral algebra for a certain supersymmetric CFT. This provides a new and analytic method to completely determine the 2 and 3-point functions of 1/4-BPS operators in the duality. This thesis is based upon collaborative work and forthcoming work, with the coauthors listed explicitly at the beginning of each chapter. application/pdf en_US none Associativity Chiral Algebra Koszul Duality QCD Physics Physics 2D Chiral Algebras from Koszul Duality & Associativity Thesis Restrict to UW for 1 year -- then make Open Access 2026-01-23T20:12:57Z open.access