Generalised scalar particle quantisation in 1+1 dimensions and D(2,1;α)
S P Corney, P D Jarvis, I Tsohantjis, D S McAnally
Abstract
The exceptional superalgebra 21a 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) 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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