Superstring and Higher Dimensional Superconformal Gauge Theory

为了在超引力近似之外研究AdS/CFT对偶意义下的超共形规范理论，我们必须研究反德西特（AdS）空间中的超弦。在这个项目中，我们在AdS空间中构造和分析了超弦理论，并通过类似的对偶性构造和分析了与超共形规范理论相关的更一般的背景。1999年，我们在三维反doSitter空间中构造了NSR超弦。明确地构造了无限维超共形对称的生成元。在2000年，我们通过考虑NS-膜作为D-膜的替代，研究了线性声子（LD）背景下的NSR超弦。2001年，我们将Berkovits提出的混合公式应用于最简单的三维LD背景，研究了它的光谱、么正性和时空对称性。我们修改了一个模型，得到了具有无限维时空超共形对称性的理论。我们在2002年研究了NS-NS平面波中的混合超弦。我们已经明确地获得了较低质量水平的物理谱，并在短弦扇区中发现了相等数量的玻色子和费米子超对称单线态。

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.