Classical N=2 W-superalgebras from superpseudodifferential operators
نویسندگان
چکیده
منابع مشابه
NHCU-HEP-94-13 Classical N=2 W-superalgebras From Superpseudodifferential Operators
We study the supersymmetric Gelfand-Dickey algebras associated with the superpseu-dodifferential operators of positive as well as negative leading order. We show that, upon the usual constraint, these algebras contain the N=2 super Virasoro algebra as a subal-gebra when the leading order is odd. The decompositions of the coefficient functions into N=1 primary fields are then obtained by covaria...
متن کاملLocally finite basic classical simple Lie superalgebras
In this work, we study direct limits of finite dimensional basic classical simple Lie superalgebras and obtain the conjugacy classes of Cartan subalgebras under the group of automorphisms.
متن کاملLinearization of W algebras and W superalgebras
In a recent paper, the authors have shown that the secondary reduction of W-algebras provides a natural framework for the linearization of W-algebras. In particular, it allows in a very simple way the calculation of the linear algebra W(G, H) ≥0 associated to a wide class of W(G,H) algebras, as well as the expression of the W generators of W(G,H) in terms of the generators of W(G, H) ≥0. In thi...
متن کاملW-superalgebras as Truncations of Super-yangians
We show that some finite W-superalgebras based on gl(M |N) are truncation of the super-Yangian Y (gl(M |N)). In the same way, we prove that finite W-superalgebras based on osp(M |2n) are truncation of the twisted super-Yangians Y (gl(M |2n)) +. Using this homomorphism, we present these W-superalgebras in an R-matrix formalism, and we classify their finite-dimensional irreducible representations.
متن کاملCohomological Operators and Covariant Quantum Superalgebras
We obtain an interesting realization of the de Rham cohomological operators of differential geometry in terms of the noncommutative q-superoscillators for the supersymmetric quantum group GLqp(1|1). In particular, we show that a unique quantum superalgebra, obeyed by the bilinears of fermionic and bosonic noncommutative q-(super)oscillators of GLqp(1|1), is exactly identical to that obeyed by t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1995
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/28/1/019