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Integrability properties of Motzkin polynomials

MPS-Authors
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Gahramanov,  Ilmar
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Musaev,  Edvard T.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1706.00197.pdf
(Preprint), 548KB

1706.00197v2.pdf
(Preprint), 137KB

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Citation

Gahramanov, I., & Musaev, E. T. (in preparation). Integrability properties of Motzkin polynomials.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002D-8CAE-9
Abstract
We consider the Polchinski RG equation for a theory of matrix scalar fields interacting with single trace operators and show that it can be written in a Hamiltonian form for a specific choice of the cut-off function. The obtained Hamiltonian equations are a non-linear generalization of the shock-wave equation that is known to be integrable. We present an infinite tower of conserved quantities and recover their relation to Motzkin polynomials.