Free energy and boundary anomalies on Sa×ℍb$$ {\mathbb{S}}^a \times {\mathrm{\mathbb{H}}}^b $$ spaces
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DOI: 10.1007/jhep10(2017)084
Abstract: A bstractWe compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form Sa×ℍb$$ {\mathbb{S}}^a \times {\mathrm{\mathbb{H}}}^b… read more here.
Keywords: mathbb times; free energy; mathrm mathbb; times mathrm ... See more keywords
Asymptotics of $$\mathrm {SL}(2,{{\mathbb {C}}})$$ coherent invariant tensors
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DOI: 10.1007/s00220-021-04154-3
Abstract: We study the semiclassical limit of a class of invariant tensors for infinite-dimensional unitary representations of $\mathrm{SL}(2,\mathbb{C})$ of the principal series, corresponding to generalized Clebsch-Gordan coefficients with $n\geq3$ legs. We find critical configurations of the… read more here.
Keywords: coherent invariant; invariant tensors; mathbb coherent; asymptotics mathrm ... See more keywords
Random-cluster dynamics in $${{\mathrm{\mathbb {Z}}}}^2$$Z2
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DOI: 10.1007/s00440-016-0725-1
Abstract: The random-cluster model has been widely studied as a unifying framework for random graphs, spin systems and electrical networks, but its dynamics have so far largely resisted analysis. In this paper we analyze the Glauber… read more here.
Keywords: random cluster; cluster; cluster model; mathrm mathbb ... See more keywords
On quasisymmetric embeddings of the Brownian map and continuum trees
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DOI: 10.1007/s00440-020-01024-2
Abstract: The Brownian map is a model of random geometry on the sphere and as such an important object in probability theory and physics. It has been linked to Liouville Quantum Gravity and much research has… read more here.
Keywords: continuum trees; brownian map; map; mathrm mathbb ... See more keywords
Character varieties for real forms
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DOI: 10.1007/s10711-019-00435-3
Abstract: Let $$\varGamma $$Γ be a finitely generated group and G a real form of $$\mathrm {SL}_n(\mathbb {C})$$SLn(C). We propose a definition for the G-character variety of $$\varGamma $$Γ as a subset of the $$\mathrm {SL}_n(\mathbb… read more here.
Keywords: character; mathrm mathbb; character varieties; mathbb ... See more keywords
Existence Solution for Curl–Curl Kirchhoff Problem
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DOI: 10.1007/s40819-018-0487-9
Abstract: This paper deals with the existence solution for the nonlinear curl–curl Kirchhoff problem: $$\begin{aligned} M \left( \displaystyle \int \limits _{{{\mathrm{{\mathbb {R}}}}}^3} \left( \left| \nabla \times U \right| ^{2}+V(x)\left| U\right| ^{2} \right) dx \right) \left( \nabla… read more here.
Keywords: curl curl; mathrm mathbb; existence solution; mathrm ... See more keywords