Generalised scalar particle quantisation in 1 + 1 dimensions and D ( 2 , 1 ; α )
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چکیده
Generalised scalar particle quantisation in 1 + 1 dimensions and D(2, 1; α) Abstract. The exceptional superalgebra D(2, 1; α) 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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The D(2, 1; α) Particle ∗
The 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 extended BFV-BRST quantisation superalgebras 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 ...
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