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  Integrability properties of Motzkin polynomials

Gahramanov, I., & Musaev, E. T. (2020). Integrability properties of Motzkin polynomials. Journal of Mathematical Physics, 61(3): 033509. doi:10.1063/1.5018372.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-8CAE-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0006-106E-D
Genre: Journal Article

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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: 2017-06-012020
 Publication Status: Published in print
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 Identifiers: arXiv: 1706.00197
URI: http://arxiv.org/abs/1706.00197
DOI: 10.1063/1.5018372
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Title: Journal of Mathematical Physics
Source Genre: Journal
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Pages: - Volume / Issue: 61 (3) Sequence Number: 033509 Start / End Page: - Identifier: -