The D(2, 1; α) Particle ∗
نویسنده
چکیده
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 via the cohomology of the BRST operator.
منابع مشابه
Generalised scalar particle quantisation in 1 + 1 dimensions and D ( 2 , 1 ; α )
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 stand...
متن کاملALMOST SURE FINITENESS FOR THE TOTAL OCCUPATION TIME OF AN (d,α,β)-superprocess
For 0 < α ≤ 2 and 0 < β ≤ 1 the (d,α,β)-superprocess is the superprocess with symmetric α-stable spatial movement in Rd and spectrally positive (1+β)-stable branching. It is a measurevalued process arising as the high density limit of empirical measure for the following critical branching symmetric α-stable particle system. Independent of the others, each particle is assigned a mass n−1 and it ...
متن کاملCharacterization of wood dust from furniture by scanning electron microscopy and energy-dispersive x-ray analysis.
Study characterized and analyzed form factor, elementary composition and particle size of wood dust, in order to understand its harmful health effects on carpenters in Quindío (Colombia). Once particle characteristics (size distributions, aerodynamic equivalent diameter (D(α)), elemental composition and shape factors) were analyzed, particles were then characterized via scanning electron micros...
متن کاملON THE CONSTRUCTION AND SUPPORT PROPERTIES OF MEASURE-VALUED DIFFUSIONS ON D⊆Rd WITH SPATIALLY DEPENDENT BRANCHING1
L = 1 2∇ · a∇ + b · ∇ on D ⊆ R and whose spatially dependent branching term is of the form β x z − α x z2, x∈D where β satisfies a very general condition and α > 0. In the case that α and β are bounded from above, we show that the measurevalued process can also be obtained as a limit of approximating branching particle systems. We give criteria for extinction/survival, recurrence/transience of ...
متن کاملAnnihilation of two-species reaction–diffusion processes on fractal scale-free networks
In the reaction–diffusion process A+B→∅ on random scale-free (SF) networks with the degree exponent γ , the particle density decays with time in a power law with an exponent α when initial densities of each species are the same. The exponent α is known as α > 1 for 2< γ < 3 and α = 1 for γ > 3. Here, we examine the reaction process on fractal SF networks, finding that α < 1 even for 2< γ < 3. T...
متن کامل