Duality of Orbifoldized Elliptic Genera
Duality of Orbifoldized Elliptic Genera
复制标题
环折椭圆属的对偶性
DOI：
10.1143/ptps.118.277
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发表时间：
1994
影响因子：
--
通讯作者：
Sung
中科院分区：
文献类型：
--
作者：
Toshiya Kawai;Sung
我们讨论了Landau-Ginzburg奥比诺德的对偶和镜像对称现象，讨论了它们的椭圆亏格。通过超势的离散群对Landau-Ginzburg模型进行对偶(或镜像)变换，我们观察到非扭扇区和扭扇区的角色互换。作为显性证据，给出了$N=2$极小模型、Arnold例外奇点、由Arnold奇点构造的$K3$曲面和Fermat超曲面的详细数据。(参加1994年2月14日至18日京都大学汤川理论物理研究所《量子场论、可积模型及以后》研讨会的会议记录。)
We discuss duality and mirror symmetry phenomena of Landau-Ginzburg orbifolds considering their elliptic genera. Under the duality (or mirror) transform performed by orbifoldizing the Landau-Ginzburg model via some discrete group of the superpotential we observe that the roles of the untwisted and twisted sectors are exchanged. As explicit evidence detailed orbifold data are presented for $N=2$ minimal models, Arnold's exceptional singularities, $K3$ surfaces constructed from Arnold's singularities and Fermat hypersurfaces. (To appear in the proceedings of the workshop, ``Quantum Field Theory, Integrable Models and Beyond'', Yukawa Institute for Theoretical Physics, Kyoto University, 14-18 February 1994.)