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  Integrability properties of Motzkin polynomials

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

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-8CAE-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-EBE7-1
Genre: Paper

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1706.00197.pdf (Preprint), 548KB
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 Creators:
Gahramanov, Ilmar1, Author              
Musaev, Edvard T.1, Author              
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th
 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.

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 Dates: 2017-06-01
 Publication Status: Not specified
 Pages: -
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 Rev. Method: -
 Identifiers: arXiv: 1706.00197
URI: http://arxiv.org/abs/1706.00197
 Degree: -

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