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Joint High Energy Physics Seminars: "Quantum field theories of (n-1)-dimensional extended objects in 2n-dimensional space-time manifolds as 2d quantum field theories on 'quasi Riemann surfaces' of integral (n-1)-currents" | The Racah Institute of Physics

Joint High Energy Physics Seminars: "Quantum field theories of (n-1)-dimensional extended objects in 2n-dimensional space-time manifolds as 2d quantum field theories on 'quasi Riemann surfaces' of integral (n-1)-currents"

Date: 
Tue, 07/02/201710:00-11:00
Location: 
White Dove Conference Hall at Neve-Shalom
Lecturer: Prof. Daniel Friedan
Affiliation:
Department of Physics and Astronomy,
Rutgers, The State University of New Jersey
Abstract:
In my talk I will discuss some new features of conformal anomaly and entanglement entropy in the presence of boundaries. The talk is based on recent papers.This is a project to develop a wide expanse of new quantum field theories in 2n-dimensional space-time manifolds. For each 2d qft, there is to be a qft of extended objects in every 2n-dimensional space-time manifold M. The quantum fields live on ``quasi Riemann surfaces'', which are certain spaces of integral (n-1)-currents in M. The notion of integral current comes from Geometric Measure Theory. The quasi Riemann surfaces are complete metric spaces with analytic properties strictly analogous to Riemann surfaces. The new qfts are to be constructed on the quasi Riemann surfaces just as 2d qfts are constructed on ordinary Riemann surfaces. Local fields in space-time are obtained by restricting to small extended objects.
arXiv:1510.04566, arXiv:1601.06418 and arXiv:1604.07571
Additional details of the upcoming Joint
Seminars in Theoretical High Energy Physics
can be found on the following
link.