Partition function of beta-gamma system on orbifolds
- 42 Downloads
Partition function of beta-gamma systems on the orbifolds C 2/Z N and C 3/Z M × 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 a generalized Molien series counting invariant monomials composed of basic operators of the theory at each mass level.
KeywordsConformal Field Models in String Theory Differential and Algebraic Geometry Discrete and Finite Symmetries
- F. Malikov and V. Schechtman, Chiral de Rham complex. II, in Differential topology, infinite-dimensional Lie algebras, and applications, Amer. Math. Soc. Transl. Ser. 2 194 (1999) 149 [math.AG/9901065].