4–7 Sept 2023
Dept. of Physics and Astronomy - University of Bologna
Europe/Rome timezone

GGEs, modular transforms and defects

5 Sept 2023, 11:10
30m
Aula Magna (Dept. of Physics and Astronomy - University of Bologna)

Aula Magna

Dept. of Physics and Astronomy - University of Bologna

Via Irnerio 46 - 40126 Bologna, Italy
Talk (30 min) Bologna Workshop CFT-IM

Speaker

Gerard Watts (King's College London)

Description

We present a physical interpretation and mathematical evidence for the modular transforms of GGEs that was discussed in arXiv:2111.13950. We presented a conjecture for the modular transform of the partition function of a simple GGE in a single free fermion model as a curious product over three apparently independent sets of fermion modes. We have now generalised the result to GGEs composed of arbitrary finite combinations of higher charges and can explain this result by treating the GGE as a defect line. As further evidence we show how a specialisation of our formula is equivalent to recent work of Zagier on so-called Power Partitions.

Primary authors

Gerard Watts (King's College London) Mr Max Downing (King's College London)

Presentation materials