弦论对高维物体的共形不变推广。耦合常数的层次
A conformally invariant generalization of string theory to higher-dimensional objects. Hierarchy of coupling constants
摘要：
我们建议将弦论共形不变推广到更高维度的对象。作为这样的模型，我们考虑共形不变的$σ$模型。对于这个理论，我们构造了哈密顿形式，找到了全部的约束条件，并在固定规范下研究了所得到的方程。它表明，该模型的特殊情况是弦论和爱因斯坦的引力理论。研究了该理论在宇宙学中的应用。结果表明，弗里德曼类模型可以在这个框架中描述。我们的模型使我们有可能将宇宙演化解释为嵌入更高维平坦时空中的三维物体的演化。
英文摘要：
We suggest a conformally invariant generalization of string theory to higher-dimensional objects. As such a model, we consider a conformally invariant $σ$ model. For this theory, the Hamiltonian formalism is constructed, and the full set of constraints is found. The equations obtained are studied under a fixed gauge. It is shown that special cases of the model are string theory and Einstein's theory of gravity. Cosmological application of the suggested theory are studied. It is shown that Friedmann-like models can be described in this framework. Our models make it possible to interpret the Universe evolution as evolution of three-dimensional objects embedded in a higher-dimensional flat space-time.
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