Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation

Details Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation Bihamiltonian Hierarchies in 2D Topological Field Theory At One-Loop Approximation

1997-12-25

arxiv.org/abs/hep-th/9712232v2

Commun.Math.Phys. 198 (1998) 311-361

Physics

High Energy Physics

High Energy Physics - Theory

53 pages, Latex, two references added, some typos corrected, version to appear in Commun. Math. Phys

Scientific paper

10.1007/s002200050480

We compute the genus one correction to the integrable hierarchy describing coupling to gravity of a 2D topological field theory. The bihamiltonian structure of the hierarchy is given by a classical W-algebra; we compute the central charge of this algebra. We also express the generating function of elliptic Gromov - Witten invariants via tau-function of the isomonodromy deformation problem arising in the theory of WDVV equations of associativity.

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