Fock representation of the renormalized higher powers of White noise and the centreless Virasoro (or Witt)–Zamolodchikov–w∞*-Lie algebra

DOI10.1088/1751-8113/41/30/304001zbMath1145.81036arXiv0706.3397OpenAlexW3123877220MaRDI QIDQ3518616

Luigi Accardi, Andreas Boukas

Publication date: 8 August 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3397

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) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Quantum stochastic calculus (81S25)

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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 ⋮ Leibniz algebras of Heisenberg type ⋮ ON THE QUADRATIC HEISENBERG GROUP

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