4 papers
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 $\mathbb{S}_β^{1} \times \mathbb{S}^{D-1}$, where…