Göttingen 2025 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 7: Quantum Field Theory I and Conformal Field Theory

MP 7.3: Vortrag

Mittwoch, 2. April 2025, 17:05–17:25, ZHG001

Scale- without Conformal-Invariance in Gauge/Gravity Duality — •Mario Flory and Lavish Chawla — Jagiellonian University, Cracow, Poland

In Gauge/Gravity Duality, the isometries of the bulk spacetime determine the symmetries of the dual field theory. This lies at the heart of both AdS/CFT and its generalisations to non-relativistic theories for example. In this talk, we will try to construct models of bulk spacetimes that break the full conformal symmetry present in AdS space down to only scale-invariance in combination with Poincaré invariance. From the field theory point of view, there are well known no-go theorems that forbid unitary theories with such a symmetry, at least in certain dimensions. Our main interest is whether a dual no-go theorem from the bulk point of view exists. To address this question, we discuss a tension that arises between three conditions on the bulk spacetime: A local geometrical condition (Killing algebra of the bulk), a global condition (topology of the bulk) and a physical condition (null energy condition in the bulk).

Keywords: AdS/CFT; Conformal Invariance; Scale Invariance; c-theorem; Killing vectors