38 citations · 57 across the 7 of their papers we have counts for
8 papers · 1 filter
Diagrammatic construction of GKZ systems for polygonal functions
K. B. Alkalaev, Semyon Mandrygin, Y. M. Zalishchansky
We investigate the recently introduced polygonal hypergeometric functions [arXiv:2502.12127, arXiv:2507.01904], which are conjectured to evaluate multipoint parametric one-loop con…
Multipoint conformal integrals in dimensions. Part II: Polygons and basis functions
K. B. Alkalaev, Semyon Mandrygin
We explicitly construct a class of multivariate generalized hypergeometric series which is conjectured in our previous paper [Alkalaev & Mandrygin 2025] to calculate multipoint one…
Multipoint conformal integrals in dimensions. Part I: Bipartite Mellin-Barnes representation and reconstruction
K. B. Alkalaev, Semyon Mandrygin
We propose a systematic approach to calculating -point one-loop parametric conformal integrals in dimensions which we call the reconstruction procedure. It relies on decompo…
Holographic reconstruction for AdS Wilson line networks and scalar Witten diagrams
K. B. Alkalaev, V. S. Khiteev
We find a holographic reconstruction formula for gravitational Wilson line network operators in AdS evaluated between Ishibashi states of the algebra . It is…
One-point thermal conformal blocks from four-point conformal integrals
K. B. Alkalaev, Semyon Mandrygin
We develop the thermal shadow formalism to study the conformal blocks decomposition in -dimensional conformal field theory on , where t…
Wilson networks in AdS and global conformal blocks
K. B. Alkalaev, A. O. Kanoda, V. S. Khiteev
We develop the relation between gravitational Wilson line networks, defined as a particular product of Wilson line operators averaged over the cap states, and conformal correlators…
Holographic variables for CFT conformal blocks with heavy operators
K. B. Alkalaev, Mikhail Pavlov
We consider large- -point Virasoro blocks with background heavy operators and perturbative heavy operators. Conformal dimensions of heavy operators scale linearly w…
Many-point classical conformal blocks and geodesic networks on the hyperbolic plane
K. B. Alkalaev
We study the semiclassical holographic correspondence between 2d CFT n-point conformal blocks and massive particle configurations in the asymptotically AdS3 space. On the boundary…