Quantum Fields and Strings

Maximally heavy dynamics in the causal diamondConfirmed

by Gordon Rogelberg (Yale University)

America/Toronto
PI/4-400 - Space Room (Perimeter Institute for Theoretical Physics)

PI/4-400 - Space Room

Perimeter Institute for Theoretical Physics

48
Description

I'll discuss four-point functions of CFT operators with infinite scaling dimension, which arise ubiquitously in both holographic and non-holographic CFTs in general dimension, as well as in the flat space limit of rigid QFTs on AdS. The space of these correlators is poorly understood, due to both their computational complexity and inaccessibility through standard bootstrap techniques. To navigate these challenges, I'll introduce a rigorous framework for extracting well-defined ``maximally heavy observables,'' which are analogous to intrinsic quantities describing statistical systems in the thermodynamic limit. These observables are highly constrained by crossing symmetry and unitarity, and shed light on the emergence of bulk locality through dynamical phase transitions. I'll relate this framework to torus partition functions at large central charge, and work out illustrative examples in generalized free theories and the four-point function of maximal giant gravitons in planar $\mathcal{N}=4$ SYM.

Organized by

Pedro Vieria, Federico Ambrosino, Zahra Zahraee