We calculate the leading contributions to the connected two-point functions of protected scalar operators in the defect version of N = 4 SYM theory which is dual to the D5-D3 probe-brane system with k units of background gauge field flux. This involves several types of two-point functions which are vanishing in the theory without the defect, such as two-point functions of operators of unequal c...

We study the integer sequence vn of numbers of lines in hypersurfaces of degree 2n−3 of Pn, n > 1. We prove a number of congruence properties of these numbers of several different types. Furthermore, the asymptotics of the vn are described (in an appendix by Don Zagier). An attempt is made at a similar analysis of two other enumerative sequences: the numbers of rational plane curves and the num...

Nuclear symmetry energy ${E}_{\text{sym}}(\ensuremath{\rho})$ at density $\ensuremath{\rho}$ is normally expanded or simply parameterized as a function of $\ensuremath{\chi}=(\ensuremath{\rho}\ensuremath{-}{\ensuremath{\rho}}_{0})/3{\ensuremath{\rho}}_{0}$ in the form ${E}_{\text{sym}}(\ensuremath{\rho})\ensuremath{\approx}S+L\ensuremath{\chi}+{2}^{\ensuremath{-}1}{K}_{\text{sym}}{\ensuremath{\...

We obtain an analytical expression for the next-to-next-to-leading order of the Balitsky-Fadin-Kuraev-Lipatov (BFKL) Pomeron eigenvalue in planar N=4 SYM using quantum spectral curve (QSC) integrability-based method. The result is verified with more than 60-digit precision using the numerical method developed by us in a previous paper [N. Gromov, F. Levkovich-Maslyuk, and G. Sizov, arXiv:1504.0...

A bstract In this paper, we introduce the momentum space amplituhedron for tree-level scattering amplitudes of ABJM theory. We demonstrate that amplitude can be identified as canonical form on given by product positive orthogonal Grassmannian and moment curve. The co-dimension one boundaries are simply odd-particle planar Mandelstam variables, while even-particle counterparts “hidden” higher bo...