On compatibility of tensor products on solutions to commutativity and WDVV equations |
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Authors: | A Losev I Polyubin |
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Institution: | (1) Institute for Theoretical and Experimental Physics, ul. Bol’shaya Cheremushkinskaya 25, Moscow, 117259, Russia;(2) Landau Institute for Theoretical Physics, Russian Academy of Sciences, Chernogolovka, 142432 Moscow region, Russia |
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Abstract: | We show that topological conformal theory contains solutions for WDVV equations for genus zero amplitudes and solutions to Commutativity equations from its quantum mechanics on the annulus. We explain behavior of these solutions under the tensor product of the theories. We make a conjecture that it is compatible with the construction of solutions to WDVV equations from a solution to the Commutativity equation and explicitly check it in the first nontrivial case. |
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Keywords: | 11 25 Hf |
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