Chiral rings and GSO projection in Orbifolds

Abstract

The GSO projection in the twisted sector of orbifold background is sometimes subtle and incompatible descriptions are found in literatures. Here, from the equivalence of partition functions in NSR and GS formalisms, we give a simple rule of GSO projection for the chiral rings of string theory in $\C^r/\Z_n$, $r=1,2,3$. Necessary constructions of chiral rings are given by explicit mode analysis.

24 pages

References in corpus (7)

• Don't Panic! Closed String Tachyons in ALE Spacetimes
• Localized Tachyons and RG Flows
• Strings on a Cone and Black Hole Entropy
• Orbifolds as Melvin Geometry
• Strings Near a Rindler Or Black Hole Horizon
• tt* Geometry and Closed String Tachyon Potential
• Supersymmetric fluxbrane intersections and closed string tachyons

Cited by in corpus (8)

• Localized Tachyons and the Quantum McKay Correspondence
• Localized tachyons in C^3/Z_N
• The Coulomb Branch in Gauged Linear Sigma Models
• Off-Shell Interactions for Closed-String Tachyons
• Generalized Symmetries of Non-SUSY and Discrete Torsion String Backgrounds
• Closed string tachyon potential and $t{t}^{\ast }$ equation
• Localized tachyon condensation and G-parity conservation
• Toda systems in closed string tachyon condensation