2020/01/30 by Nakayama, Yu
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2001.11157
Similarly to the bosonic Liouville theory, the N=2 supersymmetric Liouville theory was conjectured to be equipped with the duality that exchanges the superpotential and the Kähler potential. The conjectured duality, however, seems to suffer from a mismatch of the preserved symmetries. More than fifteen years ago, when I was a student, my supervisor Tohru Eguchi gave a beautiful resolution of the puzzle when the supersymmetry is enhanced to N=4 based on his insight into the underlying geometric structure of the A1 singularity. I will review his unpublished but insightful idea and present our attempts to extend it to more general cases.