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144 papers · 1 filter
New Calabi-Yau Manifolds from Genetic Algorithms
Per Berglund, Yang-Hui He, Elli Heyes +3
Calabi-Yau manifolds can be obtained as hypersurfaces in toric varieties built from reflexive polytopes. We generate reflexive polytopes in various dimensions using a genetic algor…
Numerical spectra of the Laplacian for line bundles on Calabi-Yau hypersurfaces
Anthony Ashmore, Yang-Hui He, Elli Heyes +1
We give the first numerical calculation of the spectrum of the Laplacian acting on bundle-valued forms on a Calabi-Yau three-fold. Specifically, we show how to compute the approxim…
On weak Hopf symmetry and weak Hopf quantum double model
Zhian Jia, Sheng Tan, Dagomir Kaszlikowski +1
Symmetry is a central concept for classical and quantum field theory, usually, symmetry is described by a finite group or Lie group. In this work, we introduce the weak Hopf algebr…
Clustering Cluster Algebras with Clusters
Man-Wai Cheung, Pierre-Philippe Dechant, Yang-Hui He +3
Classification of cluster variables in cluster algebras (in particular, Grassmannian cluster algebras) is an important problem, which has direct application to computations of scat…
Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
Tao Wang, Zhiqiang Zhang, Xiangqing Kong +1
The thermodynamics of charged topological black holes (TBHs) with different horizon geometries in -dimensional Einstein-Maxwell and 4-dimensional conformal gravities is revisite…
Restricted phase space thermodynamics of charged AdS black holes in conformal gravity
Xiangqing Kong, Zhiqiang Zhang, Liu Zhao
The thermodynamics of charged spherically symmetric AdS black holes in conformal gravity is revisited using the recently proposed restricted phase space (RPS) formalism. This forma…