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arXiv · hep-th/0304126

Anomaly, Fluxes and (2,0) Heterotic-String Compactifications

J. Gillard·G. Papadopoulos·D. Tsimpis
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Abstract

We compute the corrections to heterotic-string backgrounds with (2,0) world-sheet supersymmetry, up to two loops in sigma-model perturbation theory. We investigate the conditions for these backgrounds to preserve spacetime supersymmetry and we find that a sufficient requirement for consistency is the applicability of the $\partial\bar\partial$-lemma. In particular, we investigate the $α'$ corrections to (2,0) heterotic-string compactifications and we find that the Calabi-Yau geometry of the internal space is deformed to a Hermitian one. We show that at first order in $α'$, the heterotic anomaly-cancellation mechanism does not induce any lifting of moduli. We explicitly compute the corrections to the conifold and to the U(n)-invariant Calabi-Yau metric at first order in $α'$. We also find a generalization of the gauge-field equations, compatible with the Donaldson equations on conformally-balanced Hermitian manifolds.

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J. Gillard, G. Papadopoulos, D. Tsimpis. 2003-06-12. Anomaly, Fluxes and (2,0) Heterotic-String Compactifications. https://doi.org/10.1088/1126-6708%2F2003%2F06%2F035

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