Results 71 to 80 of about 1,475 (226)
On lattice models of gapped phases with fusion category symmetries
Journal of High Energy Physics, 2022 We construct topological quantum field theories (TQFTs) and commuting projector Hamiltonians for any 1+1d gapped phases with non-anomalous fusion category symmetries, i.e. finite symmetries that admit SPT phases.
Kansei Inamura
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From Hurwitz numbers to Feynman diagrams: Counting rooted trees in log gravity
Nuclear Physics B, 2023 We show that the partition function of the logarithmic sector of critical topologically massive gravity which represents a series expansion of composition of functions, can be expressed as a sum over rooted trees.
Yannick Mvondo-She
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Kuramoto Model on Sierpinski Gasket I: Harmonic Maps
Studies in Applied Mathematics, Volume 156, Issue 5, May 2026.ABSTRACT Motivated by the study of attractors in the Kuramoto model (KM) on graphs, approximating the Sierpinski gasket (SG), we revisit the problem of harmonic maps (HMs) from SG to the circle, first considered by Strichartz. We provide a geometric proof of Strichartz's theorem, which states that for a prescribed degree and suitable boundary ...
Georgi S. Medvedev, Matthew S. Mizuhara
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The classical basis for the κ-Poincaré Hopf algebra and doubly special relativity theories [PDF]
, 2009 Several issues concerning the quantum κ-Poincaré algebra are discussed and reconsidered here. We propose two different formulations of the κ-Poincaré quantum algebra.
A. Borowiec, A. Borowiec, A. Pachoł
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Physics Letters B, 2014 In this Letter, 2D Dirac oscillator in the quantum deformed framework generated by the κ-Poincaré–Hopf algebra is considered. The problem is formulated using the κ-deformed Dirac equation. The resulting theory reveals that the energies and wave functions
Fabiano M. Andrade, Edilberto O. Silva
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Lattice of combinatorial Hopf algebras: binary trees with multiplicities [PDF]
Discrete Mathematics & Theoretical Computer Science, 2013 In a first part, we formalize the construction of combinatorial Hopf algebras from plactic-like monoids using polynomial realizations. Thank to this construction we reveal a lattice structure on those combinatorial Hopf algebras.
Jean-Baptiste Priez
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Cohomology of Graded Twisting of Hopf Algebras
Mathematics, 2023 Let A be a Hopf algebra and B a graded twisting of A by a finite abelian group Γ. Then, categories of comodules over A and B are equivalent (but they are not necessarily monoidally equivalent).
Xiaolan Yu, Jingting Yang
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Littlewood, Paley and almost‐orthogonality: a theory well ahead of its time
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract The classic paper by Littlewood and Paley [J. Lond. Math. Soc. (1), 6 (1931), 230–233] marked the birth of Littlewood–Paley theory. We discuss this paper and its impact from a historical perspective, include an outline of the results in the paper and their subsequent significance in relation to developments over the last century, and set them ...
Anthony Carbery
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The infinitesimal Hopf algebra and the poset of planar forests [PDF]
, 2008 We introduce an infinitesimal Hopf algebra of planar trees, generalising the construction of the non-commutative Connes-Kreimer Hopf algebra. A non-degenerate pairing and a dual basis are defined, and a combinatorial interpretation of the pairing in ...
L. Foissy
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The Hopf algebra structure of the R∗-operation
Journal of High Energy Physics, 2020 We give a Hopf-algebraic formulation of the R ∗ -operation, which is a canonical way to render UV and IR divergent Euclidean Feynman diagrams finite. Our analysis uncovers a close connection to Brown’s Hopf algebra of motic graphs.
Robert Beekveldt +2 more
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