4 papers
Thermal conformal partial waves from flat-space and defect CFT
K. B. Alkalaev, Semyon Mandrygin, Vladimir Samsonov
We establish a correspondence between conformal partial waves on flat, thermal, and defect backgrounds using the shadow formalism. We demonstrate that scalar one-point thermal bloc…
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…
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…