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Anomaly, fluxes and (2,0) heterotic-string compactifications

2003; Springer Nature; Volume: 2003; Issue: 06 Linguagem: Inglês

10.1088/1126-6708/2003/06/035

1127-2236

Joe Gillard, G. Papadopoulos, Dimitrios Tsimpis,

Particle physics theoretical and experimental studies

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 ∂-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 hermitean 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 hermitean manifolds.