arXiv subjects

Albert Bekov

Publications and source records attributed to Albert Bekov.

3 recordsLinked to original sources

arXiv2026

The Non-Planar Four-Point Integrand and Konishi Dimension in N=4 Super Yang-Mills Theory at Five Loops

We compute the complete non-planar integrand for the correlation function of four lightest scalar operators in N=4 super Yang-Mills theory at five-loop order. This is equivalent to the super-correlator of nine stress-tensor multiplets in the self-dual theory. Starting with an ansatz of f-graphs, we impose constraints from light-cone limits, and fix the remaining freedom by using the reformulation of the theory in twistor space. We develop an efficient GPU-based algorithm for the numerical evaluation of the twistor rules. Our result for the integrand suggests a sharpened $f$-graph genus conjecture. As an application, we extract the five-loop non-planar anomalous dimension of the Konishi operator, whose 1/N_c^2 term is entirely given in terms of odd zeta values of transcendentality five and higher. Our code and result are provided in ancillary files.

hep-th↗

arXiv2026

Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons

We consider higher-point generalizations of the "octagon" large-charge four-point function in planar N=4 super Yang-Mills theory. These n-point polygon correlators are defined as ten-dimensional null limits of generating functions of n-point correlators of protected scalar operators with arbitrary R-charge, and are conjecturally dual to massive scattering amplitudes of W-bosons on the Coulomb branch of the theory. We present a twistor-based direct computation of the polygon loop integrands, and determine the two-loop integrands for any number of external operators. The result is expressed as a linear combination of conformal integrals, with coefficients that are rational functions of the spacetime distances and operator polarizations. We obtain an exact match with a one-loop integrability computation, and study the near-massless limit of the pentagon function.

hep-th↗

arXiv2026

Higher-Point Correlators in N=4 SYM: Generating Functions

We construct generating functions of five- and six-point correlators up to two loops at weak 't Hooft coupling in planar N=4 SYM. These generating functions unify the correlators of the lightest scalar operator in the stress-tensor multiplet with those of all higher R-charge single-trace half-BPS scalar operators, thereby extending previous results for four-point loop integrands. At the integrated level, they are represented as sums of conformal integrals with coefficients exhibiting ten-dimensional poles that combine spacetime and R-charge distances. Our results show that higher-order poles are captured by products of lower-point generating functions. We also extract new OPE data on spinning structure constants, and compare these to integrability-based computations, finding good agreement.

hep-th↗