On Compatibility of Tensor Products on Solutions to Commutativity and WDVV Equations
A. Losev+, I. Polyubin*+
+Institute for Theoretical and Experimental Physics, 117259 Moscow, Russia
*Landau Institute for Theoretical Physics RAS, 142432 Chernogolovka, Moscow region, Russia
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 behaviour of these solutions under the tensor product of
theories. We make a conjecture that it is compatible with the
construction of solutions to WDVV equations from solution to
equation and explicitly check it in the first nontrivial case.