Abstract:
In this talk I will discuss a geometric organisation of the differential equations for the correlation functions of conformally coupled scalars in power-law cosmologies. To do this, I will introduce a basis of functions inspired by a decomposition of the correlators into time-ordered components and explore how this is related to the arrangement of hyperplanes in energy space. Expressing these functions as graph tubings allows us to deduce the differential equations from just two straightforward rules—activation and merger. The merger rule can alternatively be understood as the collapse of time ordered propagators, helping to demystifying the origin of the kinematic flow.
About the speaker:
Harry Goodhew is a postdoctoral researcher at the National Taiwan university in Taipei. He completed his PhD in applied mathematics and theoretical physics in the university of Cambridge and specialises in perturbation theory and its implications in cosmology.
The UNIVERSE+ Online Seminar Series is designed to foster dialogue and collaboration among project partners and those interested in positive geometry.
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