Generalised scalar particle quantisation in 1+1 dimensions and $D(2,1;α)$

S P Corney; P D Jarvis; I Tsohantjis; D S McAnally

doi:10.1088/0305-4470/34/19/310

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arXiv · hep-th/0012206

Generalised scalar particle quantisation in 1+1 dimensions and $D(2,1;α)$

S P Corney·P D Jarvis·I Tsohantjis·D S McAnally

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Abstract

The exceptional superalgebra $\D21a$ has been classified as a candidate conformal supersymmetry algera in two dimensions. We propose an alternative interpretation of it as an extended BFV-BRST quantisation superalgebra in 2D ($D(2,1;1) \simeq osp(2,2|2)$). 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.

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S P Corney, P D Jarvis, I Tsohantjis, D S McAnally. 2000-12-21. Generalised scalar particle quantisation in 1+1 dimensions and $D(2,1;α)$. https://doi.org/10.1088/0305-4470%2F34%2F19%2F310

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