Hamiltonian structure of Dubrovin{close_quote}s equation of associativity in 2-d topological field theory

Journal Article · Sun Dec 01 00:00:00 EST 1996 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.531761· OSTI ID:401130

Galvao, C A ^[1]; Nutku, Y ^[2]

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1. Universidade de Brasilia, Departamento de Fisica, 70.910 Brasilia DF, (Brasil)
2. TUeBITAK---Marmara Research Center, Research Institute for Basic Sciences, Department of Physics, 41470 Gebze (Turkey)

mA third order Monge-Amp{grave e}re type equation of associativity that Dubrovin has obtained in 2-d topological field theory is formulated in terms of a variational principle subject to second class constraints. Using Dirac{close_quote}s theory of constraints this degenerate Lagrangian system is cast into Hamiltonian form and the Hamiltonian operator is obtained from the Dirac bracket. There is a new type of Kac-Moody algebra that corresponds to this Hamiltonian operator. In particular, it is not a W-algebra. {copyright} {ital 1996 American Institute of Physics.}

• OSTI ID: 401130
• Journal Information: Journal of Mathematical Physics, Vol. 37, Issue 12; Other Information: PBD: Dec 1996
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
FIELD THEORIES
HAMILTONIANS
TOPOLOGY
VARIATIONAL METHODS
LAGRANGIAN FUNCTION
ALGEBRA