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Wednesday, 2 May, 2018
Domenico Orlando, Susanne Reffert, Yuta Sekiguchi, Kentaroh Yoshid

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
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

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