Twisted Tools for (Untwisted) QFT

Geometry, Symmetry and Physics
Event time: 
Monday, April 1, 2024 - 4:30pm
KT 217
Justin Kulp
Speaker affiliation: 
Event description: 

 I will discuss families of multilinear k-ary operations (“brackets”) that naturally arise in QFT. The brackets physically describe BRST anomalies generated by interactions/deformations of QFTs in perturbation theory, and are analogous to the beta-functions that describe quantum violations of scale symmetry due to interactions. Besides being formally interesting, I will show that the brackets are highly computable (requiring only a first course in QFT to compute), and contain familiar information like anomalies and OPEs. Time permitting, I will discuss how these brackets are very strongly constrained in Holomorphic-Topological scenarios, and a higher-dimensional analogue of Kontsevich’s formality theorem which implies the absence of perturbative corrections to HT theories with more than 1 topological direction. Based on arXiv:2403.13049