GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES
GEOMETRY OF TYPE II SUPERSTRINGS AND THE MODULI OF SUPERCONFORMAL FIELD THEORIES
复制标题
II型超弦的几何结构和超共形场理论的模
DOI：
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发表时间：
1989
期刊：
影响因子：
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通讯作者：
L. Girardello
中科院分区：
文献类型：
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作者：
S. Cecotti;S. Ferrara;L. Girardello
研究了在抽象（2，2）超共形系统上通过紧化得到的四维II型超弦低能有效理论的一般性质。这是构造它们的模空间的基本步骤。本文给出了一个显式的通用算法，将IIA型超弦的有效拉格朗日量转换为由同一个（2，2）超共形系统定义的IIB型超弦的有效拉格朗日量（反之亦然）。这个映射将Kahler流形转换为四元数流形（四元数流形转换为Kahler流形），并具有深刻的几何意义。与理论的正常四元数流形（和代数），以及与约旦代数的关系，概述。事实证明，在弦的情况下，只有一类受限制的四元数几何是允许的。我们推导出一个一般的和明确的公式（完全非线性）耦合的矢量多重（IIA情况下）的基本三点函数的基础超共形理论。一系列说明性的E…
We study general properties of the low-energy effective theory for 4D type II superstrings obtained by the compactification on an abstract (2,2) superconformal system. This is the basic step towards the construction of their moduli space. We give an explicit and general algorithm to convert the effective Lagrangian for the type IIA into that of type IIB superstring defined by the same (2,2) superconformal system (and vice versa). This map converts Kahler manifolds into quaternionic ones (and quaternionic into Kahlerian ones) and has a deep geometrical meaning. The relationship with the theory of normal quaternionic manifolds (and algebras), as well as with Jordan algebras, is outlined. It turns out that only a restricted class of quarternionic geometries is allowed in the string case. We derive a general and explicit formula for the (fully nonlinear) couplings of the vector-multiplets (IIA case) in terms of the basic three-point functions of the underlying superconformal theory. A number of illustrative e...