Superstring and Higher Dimensional Superconformal Gauge Theory

为了超越超引力近似，在ADS/CFT对偶条件下研究超共形规范理论，我们必须研究反德西特(ADS)空间中的超弦。在这个项目中，我们通过类似的对偶，构建和分析了ADS空间中的超弦理论以及与超共形规范理论相关的更广泛的背景。1999年，我们在三维反Do-Sitter空间中构造了NSR超弦。显式构造了无限维超共形对称性的生成元。2000年，我们研究了线性伸缩子(LD)背景下的NSR超弦，将NS膜作为D膜的替代。2001年，我们将Berkovits发展的混合公式应用于最简单的三维激光背景，研究了它的光谱、么正性和时空对称性。我们修正了一个模型，得到了具有无限维空时超共形对称性的理论。2002年，我们研究了NS-NS平面波中的混合超弦。我们在低质量能级上得到了物理谱，并在短弦区发现了数目相等的玻色子和费米子超对称单态。

In order to investigate, beyond the supergravity approximation, superconformal gauge theories in terms of AdS/CFT duality, we have to study the superstrings in the anti-de Sitter (AdS) space. In this project, we have constructed and analyzed superstring theories in the AdS space and more general backgrounds related to the superconformal gauge theory by similar dualities. In 1999, we have constructed the NSR superstrings in the three-dimensional anti-do Sitter space. Generators of the infinite dimensional superconformal symmetry have been constructed explicitly. We have, in 2000, studied the NSR superstrings in the linear dilaton (LD) backgrounds by considering the NS-brane as an alternative of D-brane. In 2001, we have applied hybrid formulation developed by Berkovits to the simplest three-dimensional LD background and studied its spectrum, unitarity and space-time symmetries. We have modified a model and obtained the theory having infinite-dimensional space-time superconformal symmetry We have investigated hybrid superstrings in the NS-NS plane waves in 2002. We have explicitly obtained the physical spectrum in the lower mass levels and found equal number of bosonic and fermionic supersymmetry singlets in the short-string sector.