Open Access
Reflection Groups And Coxeter Groups
Sabrina Hirsch
- 01 Jan 2016
697
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Citations
Vortices and Other Topological Solitons in Dense Quark Matter
TL;DR: In this paper, various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the effective field theories such as the Ginzburg-Landau theory, the chiral Lagrangian, or the Bogoliubov--de Gennes equation.
130
•Posted Content
Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
TL;DR: In this paper, the authors describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges.
111
Subword complexes, cluster complexes, and generalized multi-associahedra
TL;DR: It is shown that multi-cluster complexes of types A and B coincide with known simplicial complexes, namely with the simplicialcomplex of multi-triangulations and centrally symmetric multi-Triangulations, respectively.
•Posted Content
Morse actions of discrete groups on symmetric space
TL;DR: In this article, the geometry and dynamics of discrete infinite covolume subgroups of higher-rank semisimple Lie groups were studied and the equivalence of several rank-one properties of these subgroups was established.
Exploring the Tensor Networks/AdS Correspondence
Arpan Bhattacharyya,Arpan Bhattacharyya,Zhe-Shen Gao,Ling-Yan Hung,Ling-Yan Hung,Si-Nong Liu +5 more
TL;DR: The Coxeter group is a useful tool to describe tensor networks in a negatively curved space and naturally reproduces some of the salient features of the BTZ black hole, such as the appearance of RT surfaces that could wrap the horizon, depending on the size of the entanglement region A.
References
Vortices and Other Topological Solitons in Dense Quark Matter
TL;DR: In this paper, various properties of topological solitons in dense QCD matter, with a particular emphasis on the CFL phase exhibiting superfluidity and superconductivity, and their phenomenological implications in terms of the effective field theories such as the Ginzburg-Landau theory, the chiral Lagrangian, or the Bogoliubov--de Gennes equation.
130
Subword complexes, cluster complexes, and generalized multi-associahedra
TL;DR: It is shown that multi-cluster complexes of types A and B coincide with known simplicial complexes, namely with the simplicialcomplex of multi-triangulations and centrally symmetric multi-Triangulations, respectively.
•Posted Content
Morse actions of discrete groups on symmetric space
TL;DR: In this article, the geometry and dynamics of discrete infinite covolume subgroups of higher-rank semisimple Lie groups were studied and the equivalence of several rank-one properties of these subgroups was established.
Equivariant $K$-theory of semi-infinite flag manifolds and the Pieri–Chevalley formula
TL;DR: In this paper, the Pieri-Chevalley formula is used to describe the structure sheaf of a semi-infinite Schubert variety with a line bundle associated to a dominant integral weight.
44
Exploring the Tensor Networks/AdS Correspondence
Arpan Bhattacharyya,Arpan Bhattacharyya,Zhe-Shen Gao,Ling-Yan Hung,Ling-Yan Hung,Si-Nong Liu +5 more
TL;DR: In this paper, a tensor network counterpart of the BTZ black hole is constructed by orbifolding the discrete lattice on which the network resides, and the Coxeter group is used to describe tensor networks in a negatively curved space.
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