论文标题

基本膜和弦

Fundamental Membranes and the String Dilaton

论文作者

Meissner, Krzysztof A., Nicolai, Hermann

论文摘要

我们研究了双维还原的超膜理论的纤维音部门的量化,以便提取所得的世界表作用对弦弦的依赖性(无法从纯粹的运动学还原中获得)。我们的构造依赖于多柯夫型方法,其中全部六个度量组件作为独立的量子场,并表明仅当理论的目标空间维度限于临界值($ d = 11 $ for Supermemmbrane))。作为推论,我们的分析意味着(超级)膜理论没有非临界字符串的类似物。

We study the quantization of the bosonic sector of supermembrane theory in double dimensional reduction, in order to extract the dependence of the resulting world-sheet action on the string dilaton (which cannot be obtained from a purely kinematic reduction). Our construction relies on a Polyakov-type approach with all six metric components on the world-volume as independent quantum fields, and shows that the correct and unique answer is only obtained if the target-space dimension of the theory is restricted to the critical value ($D=11$ for the supermembrane). As a corollary, our analysis implies that there are no analogs of the non-critical string for (super-)membrane theory.

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