Coset space construction for conformal invariant Lagrangians and an alternative view on inverse Higgs constraints
Seminars
Seminar “Modern Mathematical Physics”
Date and Time: Tuesday, 23 January 2018, at 2:30 PM
Venue: Blokhintsev Hall (4th floor), Bogoliubov Laboratory of Theoretical Physics
Seminar topic: «Coset space construction for conformal invariant Lagrangians and an alternative view on inverse Higgs constraints»
Speaker: Ivan Kharuk (MIPT and INR RAS)
Abstract:
The technique allowing to obtain conformally-invariant theories within the coset space construction is developed. It reproduces all consequences of the conformal invariance and Lagrangians of widely-known conformal field theories. In particular, it allows to reveal a special role of the “Nambu-Goldstone fields” for special conformal transformations. Namely, their dependence on the coordinates turns out to be fixed by the symmetries. This results in the appearance of the constraints on possible forms of Lagrangians, which ensure that discrete symmetries are indeed symmetries of the theory. The standard approach to the same question, which includes the imposition of the inverse Higgs constraints, is shown to follow from the developed technique. This provides an alternative view on the nature of the inverse Higgs constraints for the conformal group.
The report is based on:
https://arxiv.org/abs/1712.09081
https://arxiv.org/abs/1711.03411