BiHamiltonian hierarchies in 2-D topological field theory at one loop approximation

Dubrovin, Boris; Zhang, Youjin

doi:10.1007/s002200050480

BiHamiltonian hierarchies in 2-D topological field theory at one loop approximation

Boris Dubrovin
(
- SISSA, Trieste
)
,
Youjin Zhang
(
- Kyoto U.
)

Dec, 1997

53 pages

Published in:

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

e-Print:

hep-th/9712232 [hep-th]

DOI:

10.1007/s002200050480

Report number:

SISSA-152-97-FM

View in:

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Abstract:

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.

Note:

53 pages, Latex, two references added, some typos corrected, version to appear in Commun. Math. Phys Report-no: SISSA-152/97/FM

field theory: topological
dimension: 2
gravitation: coupling
algebra: W(N)
central charge
differential equations: hierarchy
correction: higher-order

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Figures(0)

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