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GTMesh: A Highly Efficient C++ Template Library for Numerical Schemes on General Topology Meshes
This article introduces GTMesh, an open-source C++ library providing data structures and algorithms that facilitate the development of numerical schemes on general polytopal meshes.
Tomáš Jakubec, Pavel Strachota
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Einstein’s theory of general relativity is based on the premise that the physical laws take the same form in all coordinate systems. However, it still presumes a preferred decomposition of the total kinematic Hilbert space into local kinematic Hilbert ...
Sung-Sik Lee
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The existence of quantum nonliquid states and fracton orders, both gapped and gapless states, challenges our understanding of phases of entangled matter. We generalize the cellular topological states to liquid or nonliquid cellular states.
Juven Wang
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Shift operators from the simplex representation in momentum-space CFT
We derive parametric integral representations for the general n-point function of scalar operators in momentum-space conformal field theory. Recently, this was shown to be expressible as a generalised Feynman integral with the topology of an (n − 1 ...
Francesca Caloro, Paul McFadden
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Effective entropy of quantum fields coupled with gravity
Entanglement entropy, or von Neumann entropy, quantifies the amount of uncertainty of a quantum state. For quantum fields in curved space, entanglement entropy of the quantum field theory degrees of freedom is well-defined for a fixed background geometry.
Xi Dong +3 more
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Chern-Simons term for
Improved abstract and introduction with 11 references added.
Guo, Han-Ying +3 more
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Towards a Complete Classification of Symmetry-Protected Topological Phases for Interacting Fermions in Three Dimensions and a General Group Supercohomology Theory [PDF]
The classification and construction of symmetry-protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent years. It has been shown that (generalized) group cohomology theory or cobordism theory gives rise to a complete classification of SPT phases in interacting boson or spin ...
Qing-Rui Wang, Zheng-Cheng Gu
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Topology of matching complexes of complete graphs via discrete Morse theory [PDF]
Bouc (1992) first studied the topological properties of $M_n$, the matching complex of the complete graph of order $n$, in connection with Brown complexes and Quillen complexes. Bj\"{o}rner et al. (1994) showed that $M_n$ is homotopically $(\nu_n-1)$
Anupam Mondal +2 more
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Autocommunication as a critique of contemporary philosophical psychoanalysis
Contemporary philosophical psychoanalysis is increasingly turning to mythological stories in order to explain the phenomenon of autocommunication as a constant loss of self and encounter with self.
A. V. Markov, O. A. Shtayn
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