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Generalized scalar particle quantization in 1+1 dimensions and D(2,1;?)
journal contribution
posted on 2023-05-16, 13:11 authored by Stuart CorneyStuart Corney, Peter JarvisPeter Jarvis, Tsohantjis, I, McAnally, DSThe exceptional superalgebra D(2, 1; α) has been classified as a candidate conformal supersymmetry algebra in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantization superalgebra in 2D (D(2, 1; 1) ≃ osp(2, 2|2)). A superfield realization is presented wherein the standard extended phase space coordinates can be identified. The physical states are studied via the cohomology of the BRST operator. Finally we reverse engineer a classical action corresponding to the algebraic model we have constructed, and identify the Lagrangian equations of motion.
History
Publication title
Journal of Physics A: Mathematical and GeneralVolume
34Issue
19Pagination
4115-4127ISSN
0305-4470Department/School
School of Natural SciencesPublisher
IOP Publishing LtdPlace of publication
Bristol, EnglandRepository Status
- Restricted