Global torus blocks in the necklace channel

Abstract

We continue studying of global conformal blocks on the torus in a special (necklace) channel. Functions of such multi-point blocks are explicitly found under special conditions on the blocks' conformal dimensions. We have verified that these blocks satisfy the Casimir equations, which were derived in previous studies.

Holographic torus correlators of stress tensor in $AdS_3/CFT_2$

“…It's interesting to extend our computation of holographic correlators to other operators and to higher dimensions. Exact results will contribute to the understanding of CFTs of non-trivial topology, in terms of OPEs, conformal blocks [39][40][41][42][43][44] and possible bootstrap programs [45]. With a proper recipe of analytic continuation to the Minkowski signature, we can also obtain exact results for holographic transport coefficients, as was done in [46] and numerous following works.…”