Erlangen 2026 – wissenschaftliches Programm

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GR: Fachverband Gravitation, Relativistische Astrophysik und Kosmologie

GR 3: Classical General Relativity I

GR 3.1: Vortrag

Montag, 16. März 2026, 16:15–16:30, KH 02.012

What can Holography teach us about scale without conformal invariance? — •Lavish Chawla and Mario Flory — Jagiellonian University in Krakow, Poland

Whether Poincaré invariance together with scale invariance necessarily enhances to full conformal symmetry in quantum field theories remains a longstanding and subtle question. In this talk, we will present our results on this problem from the perspective of the holographic correspondence. In holography, the isometry group of the bulk spacetime corresponds to the global symmetries of a dual quantum field theory. Motivated by this relation, we study spacetimes with one warped extra dimension whose isometry group corresponds to scale without conformal invariance. We show that the Weyl tensor provides an important diagnostic: it vanishes for metrics corresponding to conformal invariance and is nonzero for those corresponding only to scale invariance. With this local geometric condition, we prove the following theorem: For putative boundary theories in two and higher dimensions, the bulk metric cannot exhibit scale without conformal invariance if its warped extra dimension is compact and the null energy condition is required to hold.

Keywords: Spacetime Isometries; Energy Conditions in General Relativity; Scale without Conformal Invariance; Holographic Correspondence