3–8 Jul 2022
Hotel Les Sources
Europe/Zurich timezone

Stability analysis of a non-Unitary CFT

7 Jul 2022, 11:00
1h
Salle des glaciers, 2nd floor (Hotel Les Sources)

Salle des glaciers, 2nd floor

Hotel Les Sources

Speaker

Masataka Watanabe (Weizmann Institute of Science)

Description

I will argue for the instability of the O(N) Wilson-Fisher fixed point above four dimensions, using the epsilon expansion.
By computing the lowest operator dimension in the rank-Q symmetric rep in the double-scaling limit where epsilonQ fixed, I will show that its imaginary part never vanishes for any epsilonQ.
The mechanism for the imaginary part is different for small and large epsilon*Q, which I will explain.
Since this type of phenomena is widely seen in matrix models and its large-N phase transitions, I will conclude by pointing out possible (qualitative) connections between large charge sectors of CFTs and matrix models.

Presentation materials