English

Partition function of beta-gamma system on orbifolds

High Energy Physics - Theory 2015-06-17 v2 Algebraic Geometry Representation Theory

Abstract

Partition function of beta-gamma systems on the orbifolds C^2/Z_N and C^3/Z_M x Z_N are obtained as the invariant part of that on the respective affine spaces, by lifting the geometric action of the orbifold group to the fields. Interpreting the sum over roots of unity as an elementary contour integration, the partition function evaluates to an infinite series counting invariant monomials composed of basic operators of the theory at each mass level.

Keywords

Cite

@article{arxiv.1308.5117,
  title  = {Partition function of beta-gamma system on orbifolds},
  author = {Chandrasekhar Bhamidipati and Koushik Ray},
  journal= {arXiv preprint arXiv:1308.5117},
  year   = {2015}
}

Comments

14 pages; v2:corrected one typo, added references

R2 v1 2026-06-22T01:13:58.939Z