منابع مشابه
Universally 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...
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Since 1970s, Lie algebras have played more important and extensive roles in nonlinear partial differential equations and theoretical physics than they did before. One of the most interesting examples is the birth of the theory of Hamiltonian operators in middle 1970s, which was a work of Gel’fand, Dikii and Dorfman (cf. [GDi1-2], [GDo]). The existence of certain Hamiltonian operators associated...
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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.
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We show that the grading of fields by conformal weight, when built into the initial group symmetry, provides a discrete, non-central conformal extension of any group containing dilatations. We find a faithful vector representation of the extended conformal group and show that it has a scale-invariant scalar product and satisfies a closed commutator algebra. The commutator algebra contains the i...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2013
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/30/17/175016