Beta-gamma system, pure spinors and Hilbert series of arc spaces
High Energy Physics - Theory
2015-06-22 v2 Algebraic Geometry
Combinatorics
Representation Theory
Abstract
Algorithms are presented for calculating the partition function of constrained beta-gamma systems in terms of the generating functions of the individual fields of the theory, the latter obtained as the Hilbert series of the arc space of the algebraic variety defined by the constraint. Examples of a beta-gamma system on a complex surface with an singularity and pure spinors are worked out and compared with existing results.
Keywords
Cite
@article{arxiv.1407.3762,
title = {Beta-gamma system, pure spinors and Hilbert series of arc spaces},
author = {Chandrasekhar Bhamidipati and Koushik Ray},
journal= {arXiv preprint arXiv:1407.3762},
year = {2015}
}
Comments
19 pages; sections 2.2, 4.2 and 5, revised for clarity; Macaulay2 code for pure spinors added in appendix A; acknowledgments added; version to appear in JHEP