High Energy Theory Seminar

Entanglement structure of holographic states describing classical bulk geometries may provide invaluable insights into emergence of spacetime, as well as the underpinnings of the holographic dictionary.  A fruitful approach (initiated at Caltech over a decade ago) is to characterize this structure via the holographic entropy cone, delimited by holographic entropy inequalities.  But to harness deep lessons for spacetime emergence, we need to understand the structure in a fully covariant setting.  Can time-dependence in fact allow for a more general entanglement pattern than static configurations?  Recent explorations suggest not: in expert parlance, we have mounting evidence that "HRT cone = RT cone".  This talk will summarize some of the recent progress in this direction.  Focusing on saturating configurations leads us to consider "null-reduced" inequalities.  We recast their validity in terms of a certain majorization property, and then generalize this to explore further combinatorial properties of the inequalities and their relations.  In the process we resolve 4 previous conjectures relating the validity of a full inequality to properties of its null reductions.

Based on [2508.21823] and [2601.09987].

The talk is in 469 Lauritsen.

Contact [email protected] for Zoom information.