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Renormalized higher powers of white noise (RHPWN) and conformal field theory

机译：重新归一化的高白噪声（RHPWN）和共形场理论

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摘要

The Virasoro-Zamolodchikov *-Lie algebra w(infinity) has been widely studied in string theory and in conformal field theory, motivated by the attempts of developing a satisfactory theory of quantization of gravity. The renormalized higher powers of quantum white noise (RHPWN) *-Lie algebra has been recently investigated in quantum probability, motivated by the attempts to develop a nonlinear generalization of stochastic and white noise analysis. We prove that, after introducing a new renormalization technique, the RHPWN Lie algebra includes a second quantization of the w(infinity) algebra. Arguments discussed at the end of this note suggest the conjecture that this inclusion is in fact an identification.
机译：Virasoro-Zamolodchikov * -Lie代数w（infinity）在弦论和共形场论中得到了广泛的研究，其动机是尝试开发令人满意的重力量化理论。量子白噪声（RHPWN）* -Lie代数的重新归一化的高次幂最近已在量子概率中进行了研究，其动机是尝试发展随机和白噪声分析的非线性概括。我们证明，在引入新的重归一化技术之后，RHPWN Lie代数包括w（无限）代数的第二次量化。本说明末尾讨论的论点表明，这种推测实际上是一种识别。

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