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R-charge Conservation and More in Factorizable and Non-Factorizable Orbifolds
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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 Gamma-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'.
Forward citations
Cited by 2 Pith papers
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Non-Invertible Selection Rules on Heterotic Non-Abelian Orbifolds
Non-Abelian orbifolds in heterotic string theory produce non-invertible coupling selection rules, since twisted sectors are labeled by conjugacy classes whose products contain multiple classes and yield characteristic...
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Non-Abelian orbifolds of the SO(32) heterotic string
Three non-Abelian orbifolds of the SO(32) heterotic string now have complete massless spectra, with unbroken gauge groups U(1)^2 x SO(26), U(1) x SO(26), and SO(26), showing rank reduction from 16 to 15, 14, or 13.
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