Differential Conformal Superalgebras and their Forms
نویسندگان
چکیده
We introduce the formalism of differential conformal superalgebras, which we show leads to the “correct” automorphism group functor and accompanying descent theory in the conformal setting. As an application, we classify forms of N = 2 and N = 4 conformal superalgebras by means of Galois cohomology.
منابع مشابه
Generalized Conformal and Superconformal Group Actions and Jordan Algebras
We study the “conformal groups” of Jordan algebras along the lines suggested by Kantor. They provide a natural generalization of the concept of conformal transformations that leave 2-angles invariant to spaces where “p-angles” (p ≥ 2) can be defined. We give an oscillator realization of the generalized conformal groups of Jordan algebras and Jordan triple systems. A complete list of the general...
متن کامل2 4 N ov 1 99 9 Simple Conformal Superalgebras of Finite Growth
In this paper, we construct six families of infinite simple conformal superalgebra of finite growth based on our earlier work on constructing vertex operator superalgebras from graded assocaitive algebras. Three subfamilies of these conformal superalgebras are generated by simple Jordan algebras of types A, B and C in a certain sense.
متن کامل2 7 N ov 1 99 9 Quadratic Conformal Superalgebras
In this paper, we shall classify “quadratic” conformal superalgebras by certain compatible pairs of a Lie superalgebra and a Novikov superalgebra. Four general constructions of such pairs are given. Moreover, we shall classify such pairs related to simple Novikov algebras.
متن کاملUniversally defined representations of Lie conformal superalgebras
We distinguish a class of irreducible finite representations of conformal Lie (super)algebras. These representations (called universally defined) are the simplest ones from the computational point of view: a universally defined representation of a conformal Lie (super)algebra L is completely determined by commutation relations of L and by the requirement of associative locality of generators. W...
متن کاملX iv : h ep - t h / 04 05 06 6 v 1 8 M ay 2 00 4 Super Coherent States , Boson - Fermion Realizations and Representations of Superalgebras ∗ Yao
Super coherent states are useful in the explicit construction of representations of superalgebras and quantum superalgebras. In this contribution, we describe how they are used to construct (quantum) boson-fermion realizations and representations of (quantum) superalgebras. We work through a few examples: osp(1|2) and its quantum version Ut[osp(1|2)], osp(2|2) in the non-standard and standard b...
متن کامل