摘要翻译:
虽然已知对数共形场论并不能分解,但许多以前的发现都是在手性半部分上得到的。我们只对手征LCFT的结构作了温和而相当笼统的假设,推导出关于它的局部非手征等价性的陈述。给出了两种构造手征和反手征Jordan细胞张量积子表示的局部表示的方法。此外,我们还探索了从一般手性和反手性相关子组装一般非手性相关函数。研究了局部性约束,讨论了该方法的通用性。
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英文标题:
《Towards the Construction of Local Logarithmic Conformal Field Theories》
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作者:
Anne-Ly Do and Michael Flohr
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最新提交年份:
2008
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分类信息:
一级分类:Physics 物理学
二级分类:High Energy Physics - Theory 高能物理-理论
分类描述:Formal aspects of quantum field theory. String theory, supersymmetry and supergravity.
量子场论的形式方面。弦理论,超对称性和超引力。
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一级分类:Physics 物理学
二级分类:Statistical Mechanics 统计力学
分类描述:Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变,热力学,场论,非平衡现象,重整化群和标度,可积模型,湍流
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英文摘要:
Although logarithmic conformal field theories (LCFTs) are known not to factorise many previous findings have only been formulated on their chiral halves. Making only mild and rather general assumptions on the structure of an chiral LCFT we deduce statements about its local non-chiral equivalent. Two methods are presented how to construct local representations as subrepresentations of the tensor product of chiral and anti-chiral Jordan cells. Furthermore we explore the assembly of generic non-chiral correlation functions from generic chiral and anti-chiral correlators. The constraint of locality is studied and the generality of our method is discussed.
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PDF链接:
https://arxiv.org/pdf/710.1783