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GTMesh: A Highly Efficient C++ Template Library for Numerical Schemes on General Topology Meshes
Applied Sciences, 2023 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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Journal of High Energy Physics, 2021 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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Physical Review Research, 2022 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
Journal of High Energy Physics, 2023 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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Chern-Simons term for
Physical Review D, 2002 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]
Physical Review X, 2018 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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Effective entropy of quantum fields coupled with gravity
Journal of High Energy Physics, 2020 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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, 1999 We establish some basic theorems in dimension theory and absolute extensor theory in the coarse category of metric spaces. Some of the statements in this category can be translated in general topology language by applying the Higson corona functor.
Dranishnikov, A. N.
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Topology and Duality in Abelian Lattice Theories [PDF]
, 1998 We show how to obtain the dual of any lattice model with inhomogeneous local interactions based on an arbitrary Abelian group in any dimension and on lattices with arbitrary topology. It is shown that in general the dual theory contains disorder loops on
Gattringer, C. R. +2 more
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Hairy black holes sourced by a conformally coupled scalar field in D dimensions [PDF]
, 2014 There exist well-known no-hair theorems forbidding the existence of hairy black hole solutions in general relativity coupled to a scalar conformal field theory in asymptotically flat space.
Giribet, Gaston +3 more
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