Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-08-23
Prog.Theor.Phys.Suppl.118:277-298,1995
Physics
High Energy Physics
High Energy Physics - Theory
27(portrait)+3(landscape) pages, LaTeX, KEK-TH-409. (one reference added)
Scientific paper
10.1143/PTPS.118.277
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.)
Kawai Toshiya
Yang Sung-Kil
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