Renormalized higher powers of white noise and the Virasoro-Zamolodchikov-\(w_\infty \) algebra

DOI10.1016/S0034-4877(08)00008-6zbMath1142.60045arXivhep-th/0610302MaRDI QIDQ931879

Andreas Boukas, Luigi Accardi

Publication date: 3 July 2008

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0610302

zbMATH Keywords

conformal field theorysecond quantizationVirasoro algebra\(w_{\infty}\)-algebrarenormalized powers of white noiseZamolodchikov 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 (7)

Polynomial Extensions of the Weyl C*-Algebra ⋮ Powers of quantum white noise derivatives ⋮ COHOMOLOGY OF THE VIRASORO–ZAMOLODCHIKOV AND RENORMALIZED HIGHER POWERS OF WHITE NOISE *-LIE ALGEBRAS ⋮ Nuclear Realization of Virasoro–Zamolodchikov-w_∞⋆-Lie Algebras Through the Renormalized Higher Powers of Quantum Meixner White Noise ⋮ Renormalization and central extensions ⋮ ON THE QUADRATIC HEISENBERG GROUP ⋮ Analytic central extensions of infinite dimensional white noise *–Lie algebras

Cites Work

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