Large N limits of the tensor HCIZ integral

par Luca Lionni (Heidelberg Universität)

mercredi 20 avr. 2022, 14:00 → 15:00 Europe/Paris

https://greenlight.virtualdata.cloud.math.cnrs.fr/b/fab-49u-gkt

The reputation of the Harish-Chandra-Itzykson-Zuber (HCIZ) integral is now firmly established. Among its numerous applications, the identification of the class of planar graphs and the recovery of some of the key results of free probability can both be deduced from the study of its large N series expansions. To understand their possible generalizations for random tensor models, we introduced with Collins and Gurau a tensor version of the HCIZ integral. I will describe its large N limits, and if time allows, explain why it applies to the detection of entanglement in quantum systems in the context of randomized measurements.