2003/04/30 by Joe Gillard, J. Gillard, G. Papadopoulos +3
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #hep-th
paper · pdf · doi:10.1088/1126-6708/2003/06/035
published as JHEP 0306:035,2003 · 24 pages. v2: Reference added
arxiv created 2003/06/12 · openalex publication_date 2003/06/18 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 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.