Geometric fermions

T. Banks, Y. Dothan, D. Horn

Research output: Contribution to journalArticlepeer-review

120 Scopus citations


We study the Kähler-Dirac equation which linearizes the laplacian on the space of antisymmetric tensor fields. In flat space-time it is equivalent to the Dirac equation with internal symmetry and on the lattice it reproduces Susskind fermions. The KD equation in curved space-time differs from the Dirac equation by coupling the gravitational field to the internal symmetry generators. This new way of treating fermionic degrees of freedom may lead to a solution of the generation puzzle but is in conflict with the equivalence principle and with Lorentz invariance on the Planck-mass scale.

Original languageEnglish (US)
Pages (from-to)413-417
Number of pages5
JournalPhysics Letters B
Issue number6
StatePublished - Nov 25 1982
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


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