Complex geometry and the theory of quantum strings
Abstract
It is demonstrated that the quantum geometry of critical strings is a complex geometry. The demonstration involves an approach in which summation over closed oriented surfaces of genus p greater than or equal to 2 (where p is the loop vacuum amplitude in boson string theory) in a critical dimension D = 26 is reduced to integration over the Mp space of complex structures of a Riemann surface of genus p.
- Publication:
-
Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki
- Pub Date:
- August 1986
- Bibcode:
- 1986ZhETF..91..364B
- Keywords:
-
- Complex Systems;
- Quantum Theory;
- String Theory;
- Amplitudes;
- Bosons;
- Divergence;
- Geometry;
- Numerical Integration;
- Surfaces;
- Physics (General)