First quantization of relativistic systems: topological strings and superstring theory
When approaching the quantization of relativistic systems, it is often customary to bypass first quantization in favor of the quantum field theory framework. However, in doing so, one forgoes important concepts such as topological strings and superstrings. On one hand, topological strings have numerous applications in theoretical physics, including enhancing specific computations of scattering amplitudes in QCD and providing a mathematical foundation for the quantization procedure. On the other hand, superstrings serve as a bridge between gauge theories and gravity, offering valuable insights in both domains. In particular, one can precisely formulate quantum holography using both topological strings and superstrings. In this seminar, I will provide an overview of the first quantization of relativistic systems with a strong emphasis on topological string and superstring theory.