English

Supertranslation Goldstone and de Sitter Tachyons

High Energy Physics - Theory 2022-12-20 v1 General Relativity and Quantum Cosmology

Abstract

Supertranslation Goldstone lies in certain "exceptional series" representations of SL(2,C)SL(2,\mathbb{C}). Interestingly, m2=3m^2=-3 scalar tachyon in three dimensional de Sitter space also lies in the same representation. In this note, we analyze these theories, focusing on representation-theoretical aspects, and emphasize that "modulo certain polynomials", there is a unitary representation of the corresponding symmetry group.

Keywords

Cite

@article{arxiv.2212.09646,
  title  = {Supertranslation Goldstone and de Sitter Tachyons},
  author = {Hongjie Chen},
  journal= {arXiv preprint arXiv:2212.09646},
  year   = {2022}
}

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19 pages