GENERALIZED ATKIN-LEHNER SYMMETRY

被引:31
作者
DIENES, KR
机构
[1] Newman Laboratory of Nuclear Studies, Cornell University, Ithaca
关键词
D O I
10.1103/PhysRevD.42.2004
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Atkin-Lehner symmetry was proposed several years ago as a mechanism for obtaining a vanishing one-loop cosmological constant in nonsupersymmetric superstring models, but for models formulated in four-dimensional spacetime this symmetry cannot be realized. We therefore investigate various means of retaining the general Atkin-Lehner idea without having strict Atkin-Lehner symmetry. We first explicity construct non-Atkin-Lehner-symmetric partition functions which not only lead to vanishing cosmological constants but which also avoid a recent proof that Atkin-Lehner-symmetric partition functions cannot arise from physically viable string models in greater than two dimensions. We then develop a systematic generalization of Atkin-Lehner symmetry, basing our considerations on the use of non-Hermitian operators as well as on a general class of possible congruence subgroups of the full modular group. We find that whereas in many instances our resulting symmetries reduce to either strict Atkin-Lehner symmetry or symmetries closely related to it, in other cases we obtain symmetries of a fundamentally new character. Our results therefore suggest possible new avenues for retaining the general Atkin-Lehner "selection rule" approach for obtaining a vanishing one-loop cosmological constant. © 1990 The American Physical Society.
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页码:2004 / 2021
页数:18
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