Local algebra and string theory
Abstract
The βγ system on the cone of pure spinors is an integral part of the string theory developed by N. Berkovits. This βγ system offer a number of questions for pure mathematicians: what is a precise definition of the space of states of the theory? Is there a mathematical explanations for various dualities (or pairings) predicted by physicists? Can a formula for partition function be written? To help me to answer these questions I use local algebra in an essential way.
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