Symmetries of WDVV equations

  title={Symmetries of WDVV equations},
  author={Yujun Chen and Maxim Kontsevich and Albert Schwarz},
We say that a function F (τ) obeys WDVV equations, if for a given invertible symmetric matrix η and all τ ∈ T ⊂ R, the expressions c α β γ(τ) = η cλβγ(τ) = η∂λ∂β∂γF can be considered as structure constants of commutative associative algebra; the matrix ηαβ inverse to η αβ determines an invariant scalar product on this algebra. A function x(z, τ) obeying ∂α∂βx (z, τ) = zc ε α β∂εx (z, τ) is called a calibration of a solution of WDVV equations. We show that there exists an infinitedimensional… CONTINUE READING

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  • B. Dubrovin
  • Phys. B379, 627
  • 1992
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