Odd coset quantum mechanics

Evgeny Ivanov, Luca Mezincescu, Anatoly Pashnev, Paul K. Townsend

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


The standard quantum states of n complex Grassmann variables with a free-particle Lagrangian transform as a spinor of SO(2n). However, the same 'free-fermion' model has a non-linearly realized SU(n|1) symmetry; it can be viewed as the mechanics of a 'particle' on the Grassmann-odd coset space SU(n|1)/U(n). We implement a quantization of this model for which the states with non-zero norm transform as a representation of SU(n|1), the representation depending on the U(1) charge of the wave-function. For n = 2 the wave-function can be interpreted as a BRST superfield.

Original languageEnglish (US)
Pages (from-to)175-182
Number of pages8
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Issue number1-2
StatePublished - Jul 24 2003

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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