Interactions of massless fermionic fields in three dimensions

Autor(en)

Stefan Fredenhagen, Filipp Lausch, Karapet Mkrtchyan

Abstrakt

All independent interaction vertices involving massless (Fang-Fronsdal) fermions in three dimensions are classified, completing the classification of interactions of massless fields of any spin. Similar to the bosonic case, we get no independent vertices at quartic or higher order in the fields involving fields with spin s≥3/2 and cubic vertices only for spins satisfying triangle inequalities, apart from the cases involving (matter) fields with spin s≤1. Different from the bosonic cases, we get only one vertex for each triple of spins with two Majorana fermions and one boson, which is parity even (odd) when the sum of the spins of all fields involved is odd (even). When the two Majorana fermions are identical, their coupling to an odd-spin boson is trivialized. We comment on the nontrivial holographic dictionary relating these vertices to conformal field theory correlators in two dimensions.

Organisation(en)

Mathematische Physik, Forschungsplattform Internationales Erwin Schrödinger Institut für Mathematik und Physik

Externe Organisation(en)

Imperial College London, Max-Planck-Institut für Gravitationsphysik (Albert Einstein Institut)

Journal

Physical Review D

Band

110

Anzahl der Seiten

8

ISSN

2470-0010

DOI

https://doi.org/10.48550/arXiv.2404.00497

Publikationsdatum

10-2024

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/ab55dad7-8608-4223-b1ba-6ce7ceeba7a4