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Yangian-invariant field theory of matrix-vector models
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abstract
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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Cited by 1 Pith paper
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Bosonic Fortuity in Vector Models
For U(N) vector models, primary invariants number f^2 for f≤N and N^2+2N(f−N) for f>N, with secondary invariants appearing and growing as e^{2N log 2 f}.
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