Vielbein with Mixed Dimensions and Gravitational Global Monopole in the Planar Phase of Superfluid(3)He

G. E. Volovik*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

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The planar phase of superfluid 3He has Dirac points in momentum space and the analog of Dirac monopole in the real space. Here, we discuss the combined effect of Dirac point and Dirac monopole. It is shown that in the presence of the monopole the effective metric acting on Dirac fermions corresponds to the metric produced by the global monopole in general relativity: it is the conical metric. Another consequence is that the primary variable, which gives rise to the effective metric, is the unusual vielbein field in the form of the 4 × 5 matrix, as distinct from the conventional 4 × 4 matrix of the tetrad field in tetrad gravity.

Original languageEnglish
Pages (from-to)505-507
Number of pages3
JournalJETP Letters
Issue number8
Publication statusPublished - 13 Oct 2020
MoE publication typeA1 Journal article-refereed



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