期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP10(2019)214
关键词
Conformal Field Models in String Theory; String Duality; Superstring Vacua; Superstrings and Heterotic Strings
资金
- ILP LABEX - French state funds [ANR-10-LABX-63, ANR-11-IDEX-0004-02]
- project QHNS in the program ANR Blanc SIMI5 of Agence National de la Recherche
- EPSRC programme grant New Geometric Structures from String Theory [EP/K034456/1]
- STFC [ST/L00044X/1]
- EPSRC [EP/E031064/1, EP/K034456/1] Funding Source: UKRI
- STFC [ST/L00044X/1, ST/P000762/1] Funding Source: UKRI
We present a new class of dualities relating non-geometric Calabi-Yau compactifications of type II string theory to T-fold compactifications of the heterotic string, both preserving four-dimensional N = 2 supersymmetry. The non-geometric Calabi-Yau space is a K3 fibration over T-2 with non-geometric monodromies in the duality group O(Gamma(4,20)); this is dual to a heterotic reduction on a T-4 fibration over T-2 with the O(Gamma(4,20)) monodromies now viewed as heterotic T-dualities. At a point in moduli space which is a minimum of the scalar potential, the type II compactification becomes an asymmetric Gepner model and the monodromies become automorphisms involving mirror symmetries, while the heterotic dual is an asymmetric toroidal orbifold. We generalise previous constructions to ones in which the automorphisms are not of prime order. The type II construction is perturbatively consistent, but the naive heterotic dual is not modular invariant. Modular invariance on the heterotic side is achieved by including twists in the circles dual to the winding numbers round the T-2, and this in turn introduces non-perturbative phases depending on NS5-brane charge in the type II construction.
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