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

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

2003-04-14

arxiv.org/abs/hep-th/0304126v2

JHEP 0306:035,2003

Physics

High Energy Physics

High Energy Physics - Theory

24 pages. v2: Reference added

Scientific paper

10.1088/1126-6708/2003/06/035

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 $\alpha'$ 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 $\alpha'$, 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 $\alpha'$. We also find a generalization of the gauge-field equations, compatible with the Donaldson equations on conformally-balanced Hermitian manifolds.

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