Finite Chern-Simons matrix model - algebraic approach | Zendy

Larisa Jonke | Zendy; Stjepan Meljanac | Zendy

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Finite Chern-Simons matrix model - algebraic approach

Author(s) -

Larisa Jonke,

Stjepan Meljanac

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/01/008

Subject(s) - fock space , observable , chern–simons theory , matrix (chemical analysis) , algebra over a field , mathematical physics , space (punctuation) , algebraic number , algebraic structure , mathematics , physics , pure mathematics , quantum mechanics , mathematical analysis , gauge theory , computer science , materials science , composite material , operating system

We analyze the algebra of observables and the physical Fock space of thefinite Chern-Simons matrix model. We observe that the minimal algebra ofobservables acting on that Fock space is identical to that of the Calogeromodel. Our main result is the identification of the states in the l-th tower ofthe Chern-Simons matrix model Fock space and the states of the Calogero modelwith the interaction parameter nu=l+1. We describe quasiparticle and quasiholestates in the both models in terms of Schur functions, and discuss somenontrivial consequences of our algebraic approach.Comment: 12pages, jhep cls, minor correction

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