Joe Gillard et al JHEP06(2003)035 doi:10.1088/1126-6708/2003/06/035
Anomaly, fluxes and (2,0) heterotic-string compactifications
Joe Gillard1, George Papadopoulos1 and Dimitrios Tsimpis1
Show affiliationsWe 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.
- Keywords
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E-print Number: hep-th/0304126
Cited: by |
Refers: to
- PACS
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11.25.Mj Compactification and four-dimensional models
02.40.Sf Manifolds and cell complexes
04.20.Gz Spacetime topology, causal structure, spinor structure
- MSC
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81T60 Supersymmetric field theories
14J32 Calabi-Yau manifolds, mirror symmetry
- Subjects
- Dates
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Issue 06 (June 2003)
Received 12 June 2003, accepted for publication 18 June 2003
Published 9 July 2003
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Anomaly, fluxes and (2,0) heterotic-string compactifications
Joe Gillard et al JHEP06(2003)035
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