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Wednesday, 2 May, 2018
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion

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
Rinat Kashaev, Alexis Virelizier

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
Andrea Manenti, Andreas Stergiou, Alessandro Vichi

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
Wednesday, 25 April, 2018
Anton Alekseev, Nariya Kawazumi, Yusuke Kuno, Florian Naef

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
Tuesday, 24 April, 2018
Niklas Beisert, Aleksander Garus

In this work we consider colour-ordered correlation functions of the fields in integrable planar gauge theories such as N=4 supersymmetric Yang-Mills theory with the aim to establish Ward-...

arXiv:1804.09110
Monday, 23 April, 2018
Sébastien Ott, Yvan Velenik

We consider finite-range ferromagnetic Ising models on \mathbb{Z}^d in the regime \beta<\beta_c. We analyze the behavior of the prefactor to the exponential decay of \mathrm{Cov}(\sigma_A,\...

arXiv:1804.08323
Monday, 16 April, 2018
Marcos Marino, Szabolcs Zakany

Topological strings on toric Calabi--Yau threefolds can be defined non-perturbatively in terms of a free Fermi gas of N particles. Using this approach, we propose a definition of quantum mirror...

arXiv:1804.05574
Wednesday, 11 April, 2018
Orestis Loukas, Domenico Orlando, Susanne Reffert, Debajyoti Sarkar

Considering theories in sectors of large global charge Q results in a semiclassical effective field theory (EFT) description for some strongly-coupled conformal field theories (CFTs) with...

arXiv:1804.04151
Monday, 9 April, 2018
Hyenho Lho, Rahul Pandharipande

We study the orbifold Gromov-Witten theory of the quotient C^3/Z_3 in all genera. Our first result is a proof of the holomorphic anomaly equations in the precise form predicted by B-model...

arXiv:1804.03168
Wednesday, 4 April, 2018
Anton Alekseev, Jeremy Lane, Yanpeng Li

We show that the Ginzburg-Weinstein diffeomorphism \mathfrak{u}(n)^* \to U(n)^* of Alekseev-Meinrenken admits a scaling tropical limit. The target of the limit map is a product \mathcal{C} \...

arXiv:1804.01504
Wednesday, 4 April, 2018
Simeon Hellerman, Shunsuke Maeda, Domenico Orlando, Susanne Reffert, Masataka Watanabe

Carrying to higher precision the large-\mathcal{J} expansion of Hellerman and Maeda, we calculate to all orders in 1/\mathcal{J} the power-law corrections to the two-point functions \mathcal{Y}...

arXiv:1804.01535
Tuesday, 3 April, 2018
Axel Brandenburg, Ruth Durrer, Tina Kahniashvili, Sayan Mandal, Weichen Winston Yin

We investigate the statistical properties of isotropic, stochastic, Gaussian distributed, helical magnetic fields characterized by different shapes of the energy spectra at large length scales...

arXiv:1804.01177

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