SECOND QUANTIZED AUTOMORPHISMS OF THE RENORMALIZED SQUARE OF WHITE NOISE (RSWN) ALGEBRA
نویسندگان
چکیده
منابع مشابه
Kms States on the Square of White Noise Algebra
It was shown in [AFS00] that there are only three types of irreducible unitary representations θ of sl2. Using the Schurmann triple one can associate with each θ a number of representations of the square of white noise (SWN) algebra A. However, in analogy with the Boson, Fermion and q-deformed case, we expect that some interesting non irreducible representations of sl2 may result in GNS represe...
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Abstract. Recently (cf. [1] and [2]) L. Accardi and A. Boukas proved that the generators of the second quantized Virasoro–Zamolodchikov–w∞ algebra can be expressed in terms of the Renormalized Higher Powers of White Noise and conjectured that this inclusion might in fact be an identity, in the sense that the converse is also true. In this paper we prove that this conjecture is true. We also exp...
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Abstract. The identification of the ∗–Lie algebra of the renormalized higher powers of white noise (RHPWN) and the analytic continuation of the second quantized Virasoro– Zamolodchikov–w∞ ∗–Lie algebra of conformal field theory and high-energy physics, was recently established in [3] based on results obtained in [1] and [2]. In the present paper we show how the RHPWN Fock kernels must be trunca...
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ژورنال
عنوان ژورنال: Infinite Dimensional Analysis, Quantum Probability and Related Topics
سال: 2004
ISSN: 0219-0257,1793-6306
DOI: 10.1142/s0219025704001542