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-...

# Publications

## Pages

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,\...

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...

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...

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...

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} \...

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}...

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...

We argue how boundary B-type Landau-Ginzburg models based on matrix factorizations can be used to compute exact superpotentials for intersecting D-brane configurations on compact Calabi-Yau...

A positive integer A is called a congruent number if A is the area of a right-angled triangle with three rational sides. Equivalently, A is a congruent number if and only if the congruent number...

In this paper we outline the construction of semiclassical eigenfunctions of integrable models in terms of the semiclassical path integral for the Poisson sigma model with the target space being...

In this article we establish the notion of classical Yangian symmetry for planar N=4 supersymmetric Yang-Mills theory and for related planar gauge theories. After revisiting Yangian invariance...