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.

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

References in corpus (3)

• Hilbert space of curved βγsystems on quadric cones
• Quasimaps, straightening laws, and quantum cohomology for the Lagrangian Grassmannian
• On quasimaps to quadrics

Cited by in corpus (1)

• A formula for the partition function of the beta-gamma system on the cone pure spinors