A two-dimensional analogue of the Virasoro algebra
نویسندگان
چکیده
منابع مشابه
A Two Dimensional Analogue of the Virasoro Algebra
In this article, we study the cohomology of Lie algebras of vector fields of holomorphic type V ect1,0(M) on a complex manifold M . The main result is the introduction of a kind of order filtration on the continuous cochains on V ect1,0(M) and the calculation of the second term of the resulting spectral sequence. The filtration is very much in the spirit of the classical order filtration of Gel...
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I review the multi-dimensional generalizations of the Virasoro algebra, i.e. the non-central Lie algebra extensions of the algebra vect(N) of general vector fields in N dimensions, and its Fock representations. Being the Noether symmetry of background independent theories such as N -dimensional general relativity, this algebra is expected to be relevant to the quantization of gravity. To this e...
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Infinite enlargements of finite pseudo-unitary symmetries are explicitly provided in this letter. The particular case of u(2, 2) ≃ so(4, 2)⊕u(1) constitutes a (Virasoro-like) infinitedimensional generalization of the 3 + 1-dimensional conformal symmetry, in addition to matter fields with all conformal spins. These algebras provide a new arena for integrable field models in higher dimensions; fo...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2000
ISSN: 0393-0440
DOI: 10.1016/s0393-0440(00)00015-2