ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
We define a complete set of supertraces on the algebra SHN(ν), the algebra of observables of the N-body rational Calogero model with harmonic interaction. This result extends the previously known results for the simplest cases of N=1 and N=2 to arbitrary N. It is shown that SHN(ν) admits q(N) independent supertraces, where q(N) is a number of partitions of N into a sum of odd positive integers, so that q(N)(approximately-greater-than)1 for N≥3. Some consequences of the existence of several independent supertraces of SHN(ν) are discussed, such as the existence of ideals in associated W∞-type Lie superalgebras. © 1996 American Institute of Physics.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.531544
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