English

Local algebra and string theory

Quantum Algebra 2016-01-08 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

The βγ\beta\gamma system on the cone of pure spinors is an integral part of the string theory developed by N. Berkovits. This βγ\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.

Cite

@article{arxiv.1511.04743,
  title  = {Local algebra and string theory},
  author = {M. V. Movshev},
  journal= {arXiv preprint arXiv:1511.04743},
  year   = {2016}
}

Comments

Mistakes related to manipulations with limits are fixed, numerous typo are corrected

R2 v1 2026-06-22T11:45:41.913Z