TH BSM Forum

Are We Already Living on a Supermanifold?

by Apostolos Pilaftsis (University of Manchester (GB))

Europe/Zurich
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room

CERN

24
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Description

For more than half a century, covariant and differential geometric methods have been playing a central role in the development of Quantum Field Theory (QFT).  After a brief historic overview of the major scientific achievements using these methods, I will focus on the covariant and differential geometric formalism originally proposed by Vilkovisky and DeWitt (VDW).  I will discuss recent developments made in addressing the uniqueness of the path-integral measure of the VDW effective action, and so address the problem of quantum frame dependence in cosmologically relevant scalar-tensor theories beyond the classical approximation.  I will then turn my attention to a long-standing problem concerning the obstacles that the VDW formalism is facing from its original conception in describing generic QFTs that include fermions. I will show how in addition to bosons the VDW effective action can be extended to supermanifolds to include fermions.  The so-extended formulation appears to be very promising for a complete geometrisation of realistic theories of micro-cosmos, such as the Standard Model and its gravitational sector.

Videoconference
BSM Forum
Zoom Meeting ID
65562333965
Host
Elena Gianolio
Alternative hosts
Matthew Philip Mccullough, Joachim Kopp, Benoit Loyer, Nicholas Llewellyn Rodd
Passcode
01055539
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