منابع مشابه
Covariance of WDVV Equations
where Fi are r×r matrices (Fi)jk = F,ijk = ∂F ∂ti∂tj∂tk and the ”metric” matrix G is an arbitrary linear combination of Fk’s, with coefficients η (t) that can be time-dependent. Theory Department, Lebedev Physics Institute, Moscow 117924, Russia; e-mail address: [email protected] ITEP, Moscow 117259, Russia; e-mail address: [email protected], [email protected] ITEP, Moscow 117259, Russia; e-mail ...
متن کاملSymmetries of WDVV equations
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 call...
متن کاملWDVV Equations as Functional Relations
The associativity or Witten-Dijkgraaf-Verlinde-Verlinde (WDVV) equations [1] have been widely discussed in connection with various problems of mathematical physics for over ten years. They have arisen in the context of quantum cohomologies and mirror symmetry, and also with regard to multidimensional supersymmetric gauge field theories. In their most general form these equations may be expresse...
متن کاملA Note on Symmetries of WDVV Equations
We investigate symmetries of Witten-Dijkgraaf-E.Verlinde-H.Verlinde (WDVV) equations proposed by Dubrovin from bi-hamiltonian point of view. 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 WDVV can be characterized by the polytr...
متن کاملWDVV Equations from Algebra of Forms
A class of solutions to the WDVV equations is provided by period matrices of hyperelliptic Riemann surfaces, with or without punctures. The equations themselves reflect associativity of explicitly described multiplicative algebra of (possibly meromorphic) 1-differentials, which holds at least in the hyperelliptic case. This construction is direct generalization of the old one, involving the rin...
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ژورنال
عنوان ژورنال: Physics Letters B
سال: 1998
ISSN: 0370-2693
DOI: 10.1016/s0370-2693(98)00150-6