The WDVV symmetries in two-primary models |
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| Authors: | Yu-Tung Chen Niann-Chern Lee Ming-Hsien Tu |
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| Institution: | 1.Department of Computer Science,National Defense University,Tauyuan,Taiwan;2.General Education Center,National Chin-Yi University of Technology,Taichung,Taiwan;3.Department of Physics,National Chung Cheng University,Chiayi,Taiwan |
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| Abstract: | From the bi-Hamiltonian standpoint, we investigate symmetries of Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations proposed
by Dubrovin. These symmetries can be viewed as canonical Miura transformations between genus-zero bi-Hamiltonian systems of
hydrodynamic type. In particular, we show that the moduli space of two-primary models under symmetries of the WDVV equations
can be parameterized by the polytropic exponent h. We discuss the transformation properties of the free energy at the genus-one
level. |
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