Suppose there are n harmonic pencils of lines given in the plane. We are interested in the question whether certain triples of these lines are concurrent or if triples of intersection points of...
Publications for year 2018
Pages
Wednesday, 23 May, 2018
We discuss the application of Siegel paramodular forms to the counting of polar states in symmetric product orbifold CFTs. We present five special examples and provide exact analytic counting...
arXiv:1805.09336
Wednesday, 23 May, 2018
The plane-wave limit of {\rm AdS}_3 \times {\rm S}^3 \times {\rm S}^3 \times {\rm S}^1 is analysed for generic null-geodesics that are not necessarily BPS. For the case of pure NS-NS flux it is...
arXiv:1805.09154
Tuesday, 22 May, 2018
Studies of dark energy at advanced gravitational-wave (GW) interferometers normally focus on the dark energy equation of state w_{\rm DE}(z). However, modified gravity theories that predict a...
arXiv:1805.08731
Saturday, 12 May, 2018
We review some results of our paper arXiv:1602.05171v2 on the "nonlinear quasifree approximation" to the many-body Schr\"odinger dynamics of Bose gases. In that paper, we derive, with the help...
arXiv:1805.04689
Friday, 11 May, 2018
Conformal field theories have been long known to describe the fascinating universal physics of scale invariant critical points. They describe continuous phase transitions in fluids, magnets, and...
arXiv:1805.04405
Thursday, 3 May, 2018
Let G be a finite plane multigraph and G′ its dual. Each edge e of G is interpreted as a resistor of resistance R_e, and the dual edge e′ is assigned the dual resistance R_{e'}:=1/R_e. Then the...
arXiv:1805.01380
Wednesday, 2 May, 2018
The Yang-Baxter (YB) deformation is a systematic way of performibg integrable deformations of two-dimensional symmetric non-linear sigma models. The deformations can be labeled by classical r-...
arXiv:1805.00948
Wednesday, 2 May, 2018
We prove that the Poisson-Boolean percolation on \mathbb{R}^d undergoes a sharp phase transition in any dimension under the assumption that the radius distribution has a 5d-3 finite moment (in...
arXiv:1805.00695
Tuesday, 1 May, 2018
In the 90s, based on presentations of 3-manifolds by Heegaard diagrams, Kuperberg associated a scalar invariant of 3-manifolds to each finite dimensional involutory Hopf algebra over a field. We...
arXiv:1805.00413
Wednesday, 25 April, 2018
For a compact oriented surface \Sigmaof genus g with n+1 boundary components, the space g spanned by free homotopy classes of loops in \Sigmacarries the structure of a Lie bialgebra. The Lie...
arXiv:1804.09566
Wednesday, 25 April, 2018
In 4d \mathcal{N}=1 superconformal field theories (SCFTs) the R-symmetry current, the stress-energy tensor, and the supersymmetry currents are grouped into a single object, the Ferrara--Zumino...
arXiv:1804.09717