Chiral shift symmetries as an infinite tower of subleading super-shift symmetries
Glenn Barnich, Luca Ciambelli, Hern\'an A. Gonz\'alez
TL;DR
This paper explores the structure of chiral shift symmetries in two-dimensional massless free bosons, revealing an infinite hierarchy of subleading super-shift symmetries akin to asymptotic symmetries.
Contribution
It demonstrates that chiral shift symmetries can be understood as an infinite tower of subleading super-shift symmetries in specific coordinate systems.
Findings
Chiral shift symmetries are global symmetries in 2D free bosons.
An infinite tower of subleading super-shift symmetries exists in BMS-type coordinates.
Symmetries are parametrized by functions of one variable in double-null coordinates.
Abstract
Chiral shift symmetries of the massless free bosons in two dimensions are global symmetries that are somewhat similar to asymptotic symmetries. They are most transparent in double-null coordinates where they are parametrized by two functions of one variable. In BMS-type coordinates, half of them appear as an infinite tower of sub-leading super-shift symmetries.
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Taxonomy
TopicsMolecular spectroscopy and chirality · Origins and Evolution of Life · Photoreceptor and optogenetics research