Conformal Blocks in the Large D Limit

TL;DR

This paper derives conformal blocks in the large spacetime dimension limit using an inverse D expansion, introducing a new combination of cross-ratios and discussing implications for the conformal bootstrap.

Contribution

It presents a novel derivation of conformal blocks in the large D limit using an inverse dimension expansion, with a new cross-ratio combination.

Findings

Conformal blocks are expressed in terms of a new cross-ratio combination.

The large D limit simplifies the structure of conformal blocks.

Implications for the conformal bootstrap at large D are discussed.

Abstract

We derive conformal blocks in an inverse spacetime dimension expansion. In this large D limit, the blocks are naturally written in terms of a new combination of conformal cross-ratios. We comment on the implications for the conformal bootstrap at large D.