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Article
Report number	arXiv:1301.2322 ; CERN-PH-TH-2012-365 ; KUNS-2431 ; CERN-PH-TH-2012-365
Title	R-charge Conservation and More in Factorizable and Non-Factorizable Orbifolds
Author(s)	Cabo Bizet, Nana Geraldine (Bonn U. ; Havana, CEADEN ; CERN) ; Kobayashi, Tatsuo (Kyoto U.) ; Mayorga Pena, Damian Kaloni (Bonn U.) ; Parameswaran, Susha L. (Leibniz U., Hannover) ; Schmitz, Matthias (Bonn U.) ; Zavala, Ivonne (Groningen U.)
Publication	2013
Imprint	10 Jan 2013
Number of pages	35
Note	Comments: 35 pages, 2 figures, v2: minor corrections, new references added, matches version to appear in JHEP 35 pages, 2 figures, v2: minor corrections, new references added, matches version to appear in JHEP
In:	JHEP 05 (2013) 076
DOI	10.1007/JHEP05(2013)076
Subject category	Particle Physics - Theory
Abstract	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'.
Copyright/License	Preprint: © 2012-2025 CERN (License: CC-BY-3.0)

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