Extended Superconformal Algebras and Free Field Realizations from Hamiltonian Reduction
نویسنده
چکیده
We develop the method of the hamiltonian reduction of affine Lie superal-gebras to obtain explicit and general expressions both for the classical and the quantum extended superconformal algebras. By performing the gauge transformation which connects the diagonal gauge with the Drinfeld-Sokolov gauge and considering the quantum corrections, we get generic expressions for the classical and quantum free field realizations of the algebras.
منابع مشابه
Superconformal Algebras on the Boundary of AdS3
Motivated by recent progress on the correspondence between string theory on anti-de Sitter space and conformal field theory, we provide an explicit construction of an infinite dimensional class of superconformal algebras on the boundary of AdS3. These space-time algebras are N extended superconformal algebras of the kind obtainable by hamiltonian reduction of affine SL(2|N/2) current superalgeb...
متن کاملFree Field Representations and Screening Operators for the N = 4 Doubly Extended Superconformal Algebras
We present explicit free field representations for the N = 4 doubly extended superconformal algebra, Ãγ. This algebra generalizes and contains all previous N = 4 superconformal algebras. We have found Ãγ to be obtained by hamiltonian reduction of the Lie superalgebra D(2|1;α). In addition, screening operators are explicitly given and the associated singular vectors identified. We use this to pr...
متن کاملHamiltonian Reduction and Classical Extended Superconformal Algebras
We present a systematic construction of classical extended superconformal algebras from the hamiltonian reduction of a class of affine Lie superalgebras, which include an even subalgebra sl(2). In particular, we obtain the doubly extended N = 4 superconformal algebra Ãγ from the hamiltonian reduction of the exceptional Lie superalgebra D(2|1; γ/(1− γ)). We also find the Miura transformation for...
متن کاملClassical Hamiltonian Reduction and Superconformal Algebras
The Polyakov’s “soldering procedure” which shows how two-dimensional diffeomorphisms can be obtained from SL(2,R) gauge transformations is discussed using the free-field representation of SL(2,R) current algebra. Using this formalism, the relation of Polyakov’s method to that of the Hamiltonian reduction becomes transparent. This discussion is then generalised to N=1 superdiffeomorphisms which ...
متن کاملConstructing Classical and Quantum Superconformal Algebras on the Boundary of AdS3
Motivated by recent progress on the correspondence between string theory on anti-de Sitter space and conformal field theory, we address the question of constructing spacetime N extended superconformal algebras on the boundary of AdS3. Based on a free field realization of an affine SL(2|N/2) current superalgebra residing on the world sheet, we construct explicitly the Virasoro generators and the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1993