Checkerboard CFT
组织者
演讲者
时间
2025年01月21日 14:00 至 15:30
地点
A3-4-301
线上
Zoom 462 110 5973
(BIMSA)
摘要
The Checkerboard conformal field theory is an interesting representative of a large class of non-unitary, logarithmic Fishnet CFTs (FCFT) in arbitrary dimension which have been intensively studied in the last years. Its planar Feynman graphs have the structure of a regular square lattice with checkerboard colouring. Such graphs are integrable since each coloured cell of the lattice is equal to an R-matrix in the principal series representations of the conformal group. We compute perturbatively and numerically the anomalous dimension of the shortest single-trace operator in two reductions of the Checkerboard CFT: the first one corresponds to the Fishnet limit of the twisted ABJM theory in 3D, whereas the spectrum in the second, 2D reduction contains the energy of the BFKL Pomeron. We derive an analytic expression for the Checkerboard analogues of Basso-Dixon 4-point functions, as well as for the class of Diamond-type 4-point graphs with disc topology. The properties of the latter are studied in terms of OPE for operators with open indices. We prove that the spectrum of tthe theory receives corrections only at even orders in the loop expansion and we conjecture such a modification of Checkerboard CFT where quantum corrections occur only with a given periodicity in the loop order.
演讲者介绍
Mikhail Alfimov received his PhD at Ecole Normale Superieure Paris in 2018 under the supervision of Prof. Vladimir Kazakov and Prof. Gregory Korchemsky. Currently he is an Associate Professor at the HSE University and Moscow Engineering-Physical Institute and a Research Fellow at the P.N. Lebedev Physical Institute of the Russian Academy of Sciences. His research is concentrated on the study of integrable quantum field theories, especially sigma models.