Noncommutative Quantization in 2D Conformal Field Theory
高能物理 - 理论
2014-11-18 v2
摘要
The simplest possible noncommutative harmonic oscillator in two dimensions is used to quantize the free closed bosonic string in two flat dimensions. The partition function is not deformed by the introduction of noncommutativity, if we rescale the time and change the compactification radius appropriately. The four point function is deformed, preserving, nevertheless, the sl(2,C) invariance. Finally the first Ward identity of the deformed theory is derived.
引用
@article{arxiv.hep-th/0105011,
title = {Noncommutative Quantization in 2D Conformal Field Theory},
author = {Agapitos Hatzinikitas and Ioannis Smyrnakis},
journal= {arXiv preprint arXiv:hep-th/0105011},
year = {2014}
}
备注
5 pages, The solitonic contribution to the partition function has been computed. The parameter $\theta$ has been analytically continued to $-i\theta$