O B A V I J E S T
TONI KODŽOMAN
održat će znanstveni kolokvij (doktorski seminar) iz Fizike elementarnih čestica pod naslovom
Generalized symmetries in field theory
This thesis investigates generalized symmetries in field theory, addressing limitations of standard formalisms when confronted with dualities, complex gauge systems, and non-commutative structures related to string theory and quantum gravity. We explore specific instances where advanced mathematical frameworks - notably, homotopy algebras, higher algebroids, and generalized geometry - are essential.
Key results include establishing a geometric interpretation for the BV/BRST quantization of higher-dimensional brane sigma models (twisted R-Poisson examples) by identifying interaction coefficients with novel polytorsion and polycurvature tensors on associated gapped Lie n-algebroids.
Further investigations reveal the underlying Hopf algebra structure within L∞-algebras, enabling the systematic construction of braided L∞-algebras via Drinfel’d twists, relevant for braided gauge symmetries. We also construct a consistent Non-Commutative Double Field Theory (NC DFT) merging Moyal-Weyl non-commutativity with the T-duality manifest framework of DFT, centered around a generalized star metric and deformed symmetries.
Collectively, these studies demonstrate the necessity and utility of generalized symmetry principles and associated higher mathematical structures in advancing our understanding of fundamental interactions.
Seminar će se održati u ponedjeljak, 23. lipnja 2025. godine u 13:00 sati u predavaonici F-14 Fizičkog odsjeka Prirodoslovno-matematičkog fakulteta Sveučilišta u Zagrebu.
Pozivaju se studenti doktorskog studija Fizike, smjer Fizika elementarnih čestica, da prisustvuju seminaru, ako nisu spriječeni.
Voditelj smjera:
Izv. prof. dr. sc. Maro Cvitan, v. r.
Pristupačnost
