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Published April 15, 2004 | Published
Journal Article Open

Heterotic moduli stabilization with fractional Chern-Simons invariants


We show that fractional flux from Wilson lines can stabilize the moduli of heterotic string compactifications on Calabi-Yau threefolds. We observe that the Wilson lines used in GUT symmetry breaking naturally induce a fractional flux. When combined with a hidden-sector gaugino condensate, this generates a potential for the complex structure moduli, Kähler moduli, and dilaton. This potential has a supersymmetric AdS minimum at moderately weak coupling and large volume. Notably, the necessary ingredients for this construction are often present in realistic models. We explore the type IIA dual phenomenon, which involves Wilson lines in D6-branes wrapping a three-cycle in a Calabi-Yau threefold, and comment on the nature of the fractional instantons that change the Chern-Simons invariant.

Additional Information

©2004 The American Physical Society (Received 11 November 2003; published 29 April 2004) We would like to thank B. Acharya, N. Arkani-Hamed, P. Aspinwall, M. Becker, K. Dasgupta, M. Dine, M. Douglas, R. Kallosh, A. Krause, E. Silverstein, S. Thomas, S. Trivedi, and E. Witten for interesting discussions on related subjects. S.G. is supported in part by the RFBR Grant No. 01-01-00549 and the RFBR grant for Young Scientists 02-01-06322. The work of S.K. is supported in part by the David and Lucile Packard Foundation, National Science Foundation Grant No. PHY-0097915, and the DOE under Contract No. DE-AC03-76SF00515. The work of L.M. is supported by the National Science Foundation.

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