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Dualities in CHL-models

Daniel Persson, Roberto Volpato

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Source: Crossref

Published: Mar 27, 2018

DOI: 10.1088/1751-8121/aab489

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Source abstract

Abstract We define a very general class of CHL-models associated with any string theory S (bosonic or supersymmetric) compactified on an internal CFT C × T d . We take the orbifold by a pair ( g , δ ) , where g is a (possibly non-geometric) symmetry of C and δ is a translation along T n . We analyze the T -dualities of these models and show that in general they contain Atkin–Lehner type symmetries. This generalizes our previous work on N = 4 CHL-models based on heterotic string theory on T 6 or type II on K 3 × T 2 , as well as the ‘monstrous’ CHL-models based on a compactification of heterotic string theory on the Frenkel–Lepowsky–Meurman CFT V ♮ .

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Dualities in CHL-models — Mathematical Frontier Network