Thermal correlators and currents of the W 3 $$ {\mathcal{W}}_3 $$ algebra by Sujay K. Ashok, Sanhita Parihar, Tanmoy Sengupta, Adarsh Sudhakar, Roberto Tateo

“…Abstract Two dimensional conformal field theories with the extended W 3 $$ {\mathcal{W}}_3 $$ symmetry algebra have an infinite number of mutually commuting conserved charges, which are referred to as the quantum Boussinesq charges. …”
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Backreacted Coulomb energy in the Skyrme model by Sven Bjarke Gudnason, James Martin Speight

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Quantum dynamics of the effective field theory of the Calogero-Sutherland model by Federico L. Bottesi, Guillermo R. Zemba

“…We consider the known effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles, obtained from the standard procedure in conformal field theory: the Hilbert space is constructed a priori in terms of irreducible representations of the symmetry algebra, and not by diagonalization of the hamiltonian, which is given in terms of fields that carry representations of the W1+∞ algebra (representing the incompressibility of the Fermi sea). …”
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Entanglement content of kink excitations by Luca Capizzi, Michele Mazzoni

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Enumeration of rooted 3-connected bipartite planar maps by Noy, Marc, Requilé, Clément, Rué, Juanjo

“…Setting to zero the variable marking monochromatic edges we obtain the generating function of 3-connected bipartite maps, which is algebraic of degree 26. We deduce from it an asymptotic estimate for the number of 3-connected bipartite planar maps of the form $t\, n^{-5/2}\gamma ^n$, where $\gamma = \rho ^{-1} \approx 2.40958$ and $\rho \approx 0.41501$ is an algebraic number of degree $10$.…”
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Excitations in strict 2-group higher gauge models of topological phases by Alex Bullivant, Clement Delcamp

“…As a further application of the tube algebra approach, we demonstrate that the ground state subspace of the three-torus is described by the central subalgebra of the tube algebra for torus boundary, demonstrating the ground state degeneracy is given by the number of elementary loop-like excitations.…”
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Transfer functions of a time-varying control system by Volt Avdieiev

“…The question of their analysis and synthesis is an integral part of the control theory, the development of which is caused by the need to solve a number of technical problems, in particular, the design of aircraft motion control systems. …”
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Efficient Hamiltonian encoding algorithms for extracting quantum control mechanism as interfering pathway amplitudes in the Dyson series by Erez Abrams, Michael Kasprzak, Gaurav Bhole, Tak-San Ho, Herschel Rabitz

“…This paper presents two new encoding algorithms that calculate the amplitudes of pathway classes by using techniques from graph theory and algebraic topology to exploit patterns in the set of allowed transitions, greatly reducing the number of matrix elements that need to be modulated. …”
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Homological dimension based on a class of Gorenstein flat modules by Dalezios, Georgios, Emmanouil, Ioannis

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Elastodynamic modeling and analysis of a 4SRRR overconstrained parallel robot by B. Wang, Y. Zhao, C. Yang, X. Hu, Y. Zhao

“…Second, based on the theory of multipoint constraint elements and linear algebra, a set of independent displacement coordinates is established for the connection points between rods and the moving platform, rods and rods, and rods and the fixed platform. …”
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