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Ubiquity of non-geometry in heterotic compactifications · Around

2016

Ubiquity of non-geometry in heterotic compactifications

García-Etxebarria, Iñaki, Lust, Dieter, Massai, Stefano et al.

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We study the effect of quantum corrections on heterotic compactifications on elliptic fibrations away from the stable degeneration limit, elaborating on a recent observation by Malmendier and Morrison.

We show that already for the simplest non-trivial elliptic fibration the effect is quite dramatic: the $I_1$ degeneration with trivial gauge background dynamically splits into two T-fects with monodromy around each T-fect being (conjugate to) T-duality along one of the legs of the $T^2$.
This implies that almost every elliptic heterotic compactification becomes a non-geometric T-fold away from the stable degeneration limit.
We also point out a subtlety due to this non-geometric splitting at finite fiber size.

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W. Lerche and S. Stieberger, Prepotential, mirror map and F theory on K3 , Adv. Theor. Math. Phys. 2
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1998
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A. Hanany and A. Zaffaroni, Branes and six-dimensional supersymmetric theories , Nucl. Phys. B529
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