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Local algebra and string theory
Preprint
2015-11-15
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Abstract
The \(\beta\gamma\) system on the cone of pure spinors is an integral part of the string theory developed by N. Berkovits. This \(\beta\gamma\) 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.