An Algebraic Approach to Supersymmetric Field Theories and Superstrings

理论基本粒子物理的研究将集中在超弦、超引力和超对称场论上。超弦理论的基本对称性将被研究，这些对称性将被用来确定超弦理论和相关超对称理论的谱。执行这一计划所必需的数学方法将得到进一步发展。超弦理论为我们提供了唯一已知的协调量子力学和爱因斯坦引力理论的一致框架，并且是一个成功的包括引力在内的所有相互作用的统一理论的有希望的候选者。确定超弦理论的谱对于检验其预测至关重要。在一定的能量状态下，超弦理论可以被超引力和其他超对称场论有效地近似。因此，超弦、超引力和超对称场论的研究是非常重要的

***9802510Gunaydin The research in theoretical elementary particle physics will focus on superstring, supergravity and supersymmetric field theories. The underlying fundamental symmetries of superstring theory will be studied and these symmetries will then be used to determine the spectra of superstring theory and related supersymmetric theories. The mathematical methods that are essential for carrying out this program will be developed further. The superstring theory provides us with the only known consistent framework for reconciling quantum mechanics with Einstein's theory of gravity and is a promising candidate for a successful unified theory of all interactions including gravity. The determination of the spectrum of superstring theory will be essential for testing its predictions. At certain energy regimes superstring theory can be effectively approximated by supergravity and other supersymmetric field theories. Therefore, the work on superstring, supergravity and supersymmetric field theories is very important.***