论文标题
$ \ Mathcal {n} = 2 $ supersymmetric liouville理论
On Duality in $\mathcal{N}=2$ supersymmetric Liouville Theory
论文作者
论文摘要
与玻色症liouville理论类似，$ \ Mathcal {n} = 2 $ supersmpersymmetric liouville理论被认为具有交换超电势和Kähler潜力的双重性。然而，猜想的二元性似乎遭受了保留的对称性的不匹配。十五年前，当我还是一名学生时，当我的主管Tohru Eguchi基于$ A_1 $ Singularity $ a_1 $奇异的$ \ Mathcal {n} = 4 $增强了SuperSymmemery的精美分辨率。我将回顾他未发表但有见地的想法，并提出我们将其扩展到更一般案件的尝试。
Similarly to the bosonic Liouville theory, the $\mathcal{N}=2$ 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 $\mathcal{N}=4$ based on his insight into the underlying geometric structure of the $A_1$ singularity. I will review his unpublished but insightful idea and present our attempts to extend it to more general cases.
