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Bulk-boundary thermodynamic equivalence: a topology viewpoint [PDF]
Journal of High Energy Physics, 2023 Setting the cosmological constant to be dynamical, we study the bulk and boundary thermodynamics of charged Anti-de Sitter black holes. We develop mass/energy formulas in terms of thermodynamic state functions for the extended thermodynamics, mixed ...
Ming Zhang, Jie Jiang
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On the topology of the Newton boundary at infinity [PDF]
Journal of the Mathematical Society of Japan, 2008 The author studies the monodromy fibration of a complex polynomial function \( f:\mathbb{C}^{n}\to \mathbb{C}\) at infinity i.e. the fibration \[ f:f^{-1}(S_{r})\to S_{r} \] where \(S_{r}=\{z\in \mathbb{C}:| z| =r\}\) is a circle of sufficiently large radius \(r\gg 0\) (it means that the disc \(\{z\in \mathbb{C} :| z|
Tiến-Sơn Phạm
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A metrizable topology on the contracting boundary of a group [PDF]
Transactions of the American Mathematical Society, 2018 The ‘contracting boundary’ of a proper geodesic metric space consists of equivalence classes of geodesic rays that behave like rays in a hyperbolic space. We introduce a geometrically relevant, quasi-isometry invariant topology on the contracting boundary. When the space is the Cayley graph of a finitely generated group we show that our new topology is
Christopher Cashen +3 more
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On the topology of the Newton boundary III [PDF]
Journal of the Mathematical Society of Japan, 1982 Mutsuo Oka
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Boundary topological superconductors [PDF]
Physical Review B, 2021 For strongly anisotropic time-reversal invariant (TRI) insulators in two and three dimensions, the band inversion can occur respectively at all TRI momenta of a high symmetry axis and plane. Although these classes of materials are topologically trivial as the strong and weak $Z_{2}$ indices are all trivial, they can host an even number of unprotected ...
Bo-Xuan Li, Zhongbo Yan
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Some Weaker Forms of Bipolar Neutrosophic Nano * Open Sets [PDF]
Neutrosophic Sets and Systems, 2023 In this paper, the weaker forms of open sets in Bipolar Neutrosophic Nano* (BNN*) topology are studied. This topology is defined on a space of bipolar neutrosophic sets with respect to the lower, upper, boundary approximations and the union and ...
G. Gincy +2 more
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Topological Boundaries of Unitary Representations [PDF]
International Mathematics Research Notices, 2020 AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Bearden, Alex, Kalantar, Mehrdad
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Hermitian Bulk – Non-Hermitian Boundary Correspondence
PRX Quantum, 2023 Non-Hermitian band theory distinguishes between line gaps and point gaps. While point gaps can give rise to intrinsic non-Hermitian band topology without Hermitian counterparts, line-gapped systems can always be adiabatically deformed to a Hermitian ...
Frank Schindler +3 more
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Boundaries & localisation with a topological twist
Journal of High Energy Physics, 2023 Abstract We study the partition functions of topologically twisted 3d $$ \mathcal{N} $$ N = 2 gauge theories on a hemisphere spacetime with boundary HS2 × S1. We show that the partition function may be localised to either the Higgs branch or the Coulomb branch where the contributions to the path ...
Crew, Samuel, Zhang, Daniel, Zhao, Boan
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Automatic learning of topological phase boundaries [PDF]
Physical Review E, 2021 Topological phase transitions, which do not adhere to Landau's phenomenological model (i.e. a spontaneous symmetry breaking process and vanishing local order parameters) have been actively researched in condensed matter physics. Machine learning of topological phase transitions has generally proved difficult due to the global nature of the topological ...
Kerr, Alexander +3 more
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