Local algebra and string theory
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.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2015
- DOI:
- 10.48550/arXiv.1511.04743
- arXiv:
- arXiv:1511.04743
- Bibcode:
- 2015arXiv151104743M
- Keywords:
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- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- Mathematical Physics
- E-Print:
- Mistakes related to manipulations with limits are fixed, numerous typo are corrected