The associativity equations in the two-dimensional topological field theory as integrable Hamiltonian nondiagonalizable systems of hydrodynamic type

1996 ◽  
Vol 30 (3) ◽  
pp. 195-203 ◽  
Author(s):  
E. V. Ferapontov ◽  
O. I. Mokhov
Keyword(s):  
Field Theory ◽  
Hydrodynamic Type ◽  
Topological Field Theory ◽  
Two Dimensional ◽  
Associativity Equations ◽  
Topological Field ◽  
Systems Of Hydrodynamic Type

scholarly journals BRST-FIXED POINTS AND TOPOLOGICAL CONFORMAL SYMMETRY

1992 ◽  
Vol 07 (24) ◽  
pp. 2215-2222 ◽  
Author(s):  
TOSHIO NAKATSU ◽  
YUJI SUGAWARA
Keyword(s):  
Field Theory ◽  
Fixed Points ◽  
Conformal Symmetry ◽  
Topological Field Theory ◽  
Two Dimensional ◽  
Brst Transformation ◽  
Dimensional Gravity ◽  
Matter System ◽  
Topological Field ◽  
Topological Matter

We study the twisted version of the supersymmetric G/T = SU (n)/ U (1)⊗(n−1) gauged Wess-Zumino-Witten model. By studying its fixed points under BRST transformation this model is shown to be reduced to a simple topological Field theory, that is, the topological matter system in the K. Li's theory of two-dimensional gravity for the case of n = 2, and its generalization for n ≥ 3.

scholarly journals THE HIERARCHY OF ASSOCIATIVITY EQUATIONS FOR n=3 CASE WITH AN METRIC ƞ11≠0

2020 ◽  
Vol 69 (1) ◽  
pp. 199-205
Author(s):  
A.A. Zhadyranova ◽  
◽  
Zh.R. Myrzakul ◽  
K.R. Myrzakulov ◽  
Keyword(s):  
Field Theory ◽  
Nonlinear Partial Differential Equations ◽  
Topological String ◽  
Homogeneous System ◽  
Field Theories ◽  
Topological Field Theory ◽  
Topological String Theory ◽  
System Of Hydrodynamic Type ◽  
Associativity Equations ◽  
Topological Field

This paper describes the hierarchy for N = 2 and n=3 case with an metric ƞ11≠0 when V0 = 0 of associativity equations. The equation of associativity arose from the 2D topological field theory. 2D topological field theory represent the matter sector of topological string theory. These theories covariant before coupling to gravity due to the presence of a nilpotent symmetry and are therefore often referred to as cohomological field theories. We give a description of nonlinear partial differential equations of associativity in 2D topological field theories as integrable nondiagonalizable weakly nonlinear homogeneous system of hydrodynamic type. The article discusses nonlinear equations of the third order for a function f = f(x,t)) of two independent variables x, t. In this work we consider the associativity equation for n=3 case with an a metric 0 11   . The solution of some cases of hierarchy when N = 2 and V0 = 0 equations of associativity illustrated

Topological field theory and two-dimensional abelian-Higgs instantons

1989 ◽  
Vol 224 (4) ◽  
pp. 379-383 ◽  
Author(s):  
Fidel A. Schaposnik ◽  
George Thompson
Keyword(s):  
Field Theory ◽  
Topological Field Theory ◽  
Two Dimensional ◽  
Topological Field
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