Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Yangian-invariant field theory of matrix-vector models   We extend our study of the field-theoretic description of matrix-vector
models and the associated many-body problems of one dimensional particles with
spin. We construct their Yangian-su(R) invariant Hamiltonian. It describes an
interacting theory of a c=1 collective boson and a k=1 su(R) current algebra.
When $R \geq 3$ cubic-current terms arise. Their coupling is determined by the
requirement of the Yangian symmetry. The Hamiltonian can be consistently
reduced to finite-dimensional subspaces of states, enabling an explicit
computation of the spectrum which we illustrate in the simplest case.

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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol