منابع مشابه
From Virasoro Constraints in Kontsevich ’ s Model to W - constraints in 2 - matrix Models
The Ward identities in Kontsevich-like 1-matrix models are used to prove at the level of discrete matrix models the suggestion of Gava and Narain, which relates the degree of potential in asymmetric 2-matrix model to the form of W-constraints imposed on its partition function.
متن کاملFrobenius Manifolds And Virasoro Constraints
For an arbitrary Frobenius manifold a system of Virasoro constraints is constructed. In the semisimple case these constraints are proved to hold true in the genus one approximation. Particularly, the genus ≤ 1 Virasoro conjecture of T.Eguchi, K.Hori, M.Jinzenji, and C.-S.Xiong and of S.Katz is proved for smooth projective varieties having semisimple quantum cohomology.
متن کاملVirasoro Constraints for Toric Bundles
We show that the Virasoro conjecture in Gromov–Witten theory holds for the the total space of a toric bundle E → B if and only if it holds for the base B. The main steps are: (i) we establish a localization formula that expresses Gromov–Witten invariants of E, equivariant with respect to the fiberwise torus action, in terms of genus-zero invariants of the toric fiber and all-genus invariants of...
متن کاملVirasoro Constraints For Quantum Cohomology
In [EHX2], Eguchi, Hori and Xiong, proposed a conjecture that the partition function of topological sigma model coupled to gravity is annihilated by infinitely many differential operators which form half branch of the Virasoro algebra. A similar conjecture was also proposed by S. Katz [Ka] (See also [EJX]). Assuming this conjecture is true, they were able to reproduce certain instanton numbers ...
متن کاملRemarks on Q-virasoro and Qkdv
In recent publications [7, 9, 11] we have explored derivations of various qKdV type and noncommutative KdV (NCKdV) equations from several points of view (e.g. differential calculi, quantum groups, hierarchies, Moyal products, Maurer-Cartan equations, zero curvature, etc.). Motivated in part by [27, 28, 29] we exhibit here a derivation from q-Virasoro ideas (see e.g. [6, 13, 16, 17, 22, 24, 25, ...
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ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2017
ISSN: 1029-8479
DOI: 10.1007/jhep03(2017)098