RENORMALIZED HIGHER POWERS OF WHITE NOISE (RHPWN) AND CONFORMAL FIELD THEORY

DOI10.1142/S021902570600241XzbMath1102.81065arXivmath-ph/0608047MaRDI QIDQ5493865

Luigi Accardi, Andreas Boukas

Publication date: 16 October 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0608047

zbMATH Keywords

conformal field theoryVirasoro algebrarenormalized powers of quantum white noise\(w_{\infty }\)-algebra

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) White noise theory (60H40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Quantum stochastic calculus (81S25)

Related Items (11)

Higher powers of analytical operators and associated ∗-Lie algebras ⋮ Powers of quantum white noise derivatives ⋮ COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS ⋮ AN ASPECT OF QUADRATIC HIDA DISTRIBUTIONS IN THE REALIZATION OF A DUALITY BETWEEN GAUSSIAN AND POISSON NOISES ⋮ Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra ⋮ The Schrödinger Fock kernel and the no-go theorem for the first order and Renormalized Square of White Noise Lie algebras ⋮ Renormalization and central extensions ⋮ A characterization of the geometric Brownian motion in terms of infinite dimensional Laplacians ⋮ ON THE QUADRATIC HEISENBERG GROUP ⋮ Analytic central extensions of infinite dimensional white noise *–Lie algebras ⋮ Generalized Bernoulli Wick differential equation

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