R-charge conservation and more in factorizable and non-factorizable orbifolds

• Published in: The journal of high energy physics Vol. 2013; no. 5; pp. 1 - 36
• Main Authors: Bizet, Nana G. Cabo, Kobayashi, Tatsuo, Peña, Damián K. Mayorga, Parameswaran, Susha L., Schmitz, Matthias, Zavala, Ivonne
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.05.2013; Springer Nature B.V
• Subjects: Classical and Quantum Gravitation; Conservation; Elementary Particles; High energy physics; Instantons; Joining; Mathematical analysis; Origins; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Relativity Theory; String Theory; Strings; Symmetry; Vectors (mathematics); String Field Theory; Superstrings and Heterotic Strings; Conformal Field Models in String Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP05(2013)076

A bstract We consider the string theory origin of R-charge conservation laws in heterotic orbifold compactifications, deriving the corresponding string coupling selection rule for factorizable and non-factorizable orbifolds, with prime ordered and non-prime ordered point groups. R-charge conservation arises due to symmetries among the worldsheet instantons that can mediate the couplings. Among our results is a previously missed non-trivial contribution to the conserved R-charges from the γ-phases in non-prime orbifolds, which weakens the R-charge selection rule. Symmetries among the worldsheet instantons can also lead to additional selection rules for some couplings. We make a similar analysis for Rule 4 or the “torus lattice selection rule”. Moreover, we identify a new string selection rule, that we call Rule 6 or the “coset vector selection rule”.