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math-ph2023★ 2 cited
The regularization of Dotsenko--Fateev integrals
Ethan Sussman
We discuss the regularization of certain hypergeometric integrals appearing in 2D CFT, a step needed in the construction of the BPZ minimal models via the Coulomb gas formalism. Th…
math.AP2023
Massive wave propagation near null infinity
Ethan Sussman
We study, fully microlocally, the propagation of massive waves on the octagonal compactification \[\mathbb{O}=[\overline{\mathbb{R}^{1,d}};\mathscr{I};1/2]\] of asymptotically Mink…
math-ph2023★ 2 cited
The singularities of Selberg- and Dotsenko-Fateev-like integrals
Ethan Sussman
We discuss the meromorphic continuation of certain hypergeometric integrals modeled on the Selberg integral, including the 3-point and 4-point functions of BPZ's minimal models of…