Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

A bstract We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …

A bstract We develop a systematic approach to evaluating AdS loop amplitudes with
spinning legs based on the spectral (or “split”) representation of bulk-to-bulk propagators …

A bstract Conformal blocks are the fundamental, theory-independent building blocks in any
CFT, so it is important to understand their holographic representation in the context of …

A bstract We compute M-point conformal blocks with scalar external and exchange
operators in the so-called comb configuration for any M in any dimension d. Our computation …

A bstract Conformal blocks play a central role in CFTs as the basic, theory-independent
building blocks. However, only limited results are available concerning multipoint blocks …

A bstract We compute d-dimensional scalar six-point conformal blocks in the two possible
topologies allowed by the operator product expansion. Our computation is a simple …

A bstract We present the holographic object which computes the five-point global conformal
block in arbitrary dimensions for external and exchanged scalar operators. This object is …

Seven-point functions have two inequivalent topologies or channels. The comb channel has
been computed previously, and here we compute scalar conformal blocks in the extended …

A bstract We construct a new class of differential operators that naturally act on AdS
harmonic functions. These are weight shifting operators that change the spin and dimension …