منابع مشابه
Frobenius 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, ...
متن کاملScaling functions from q-deformed Virasoro characters
We propose a renormalization group scaling function which is constructed from q-deformed fermionic versions of Virasoro characters. By comparison with alternative methods, which take their starting point in the massive theories, we demonstrate that these new functions contain qualitatively the same information. We show that these functions allow for RG-flows not only amongst members of a partic...
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ژورنال
عنوان ژورنال: Letters in Mathematical Physics
سال: 2019
ISSN: 0377-9017,1573-0530
DOI: 10.1007/s11005-019-01216-5