2–6 Sept 2024
University of Southampton
Europe/London timezone

Renormalization of Conformal Correlators and its Implications

6 Sept 2024, 14:50
20m
B46/LTB (University of Southampton)

B46/LTB

University of Southampton

Talk in parallel session CFT Parallel sessions

Speaker

Ms Pratyusha Chowdhury (University of Southampton)

Description

Conformal invariance implies strong constraints on the form of correlation functions of gauge invariant operators, and these correlators diverge when their conformal dimensions satisfy certain relations. These divergences and their renormalization has been understood up to three-point functions in general dimension, and for specific dimensions for holographic 4-point function in d=3. Going from odd to even dimensions increases the complexity of the analysis and in this work we discuss how to renormalize holographic 4-point functions in d=4. The analysis shows that new features arise and renormalization may impose constraints on the spectrum of the CFT.

Authors

Prof. James Drummond (University of Southampton) Prof. Kostas Skenderis (University of Southampton) Ms Pratyusha Chowdhury (University of Southampton)

Presentation materials