The constant constraints in the conventional Hamiltonian reductions ofWZNW model are generalized to the case of arbitrary chiral constraints.It is shown thatthe reduced model is equivalent to a conformal integrable sy...The constant constraints in the conventional Hamiltonian reductions ofWZNW model are generalized to the case of arbitrary chiral constraints.It is shown thatthe reduced model is equivalent to a conformal integrable system at both classical andquantum levels.It is also found that the use of chiral constraints is equivalent to theHamihonian reduction of the product phase space of WZNW model and free fields.展开更多
In this paper,we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D(2,1;α).Based on these expressions,we construct free field realizations of the currents...In this paper,we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D(2,1;α).Based on these expressions,we construct free field realizations of the currents associated with D(2,1;α) at an arbitrary level k.展开更多
文摘The constant constraints in the conventional Hamiltonian reductions ofWZNW model are generalized to the case of arbitrary chiral constraints.It is shown thatthe reduced model is equivalent to a conformal integrable system at both classical andquantum levels.It is also found that the use of chiral constraints is equivalent to theHamihonian reduction of the product phase space of WZNW model and free fields.
基金Support from the National Natural Science Foundation of China under Grant Nos.10931006,10975180,and 11075126the Ministry of Education of China under Grant No.20116101110017Northwest University Graduate Cross-Discipline Fund (10YJC15)
文摘In this paper,we give the explicit expressions of the differential operator representations of the exceptional Lie superalgebra D(2,1;α).Based on these expressions,we construct free field realizations of the currents associated with D(2,1;α) at an arbitrary level k.
