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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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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: 2017-06-012020
 Publication Status: Issued
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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: -