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String Theory, Dark Energy and Varying Couplings

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From Varying Couplings to Fundamental Physics

Part of the book series: Astrophysics and Space Science Proceedings ((ASSSP))

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Abstract

I review the difficulties of some recent attempts to find stabilized string theory vacua with positive cosmological constant at tree level. Whereas models with energy momentum tensors satisfying the null energy condition (NEC) and conformally Ricci-flat internal spaces are easily shown to admit at most short transient periods of accelerated expansion, the situation is more complex in the presence of NEC-violating sources such as orientifold planes and more general curved compact spaces. We also comment on some recent discussions in the context of varying fundamental couplings in some of these string compactifications.

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Notes

  1. 1.

    More precisely, certain trace combinations of the energy momentum tensor have to be negative, see [24] for details.

  2. 2.

    A compactification metric of the form \(d{s}_{10}^{2} = {e}^{2A}d{s}_{4}^{2} + d{s}_{6}^{2}\) with A being a function of the internal 6D coordinates, is called a warped compactification with warp factor e 2A.

  3. 3.

    J. Blaback, U. H. Danielsson, D. Junghans, T. Van Riet, T. Wrase and M. Zagermann, work in progress.

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Acknowledgements

It is a pleasure to thank my collaborators for the stimulating joint work on refs. [9; 10; 11; 44; 4] on which this contribution is mainly based, as well as the Organizers of the JENAM 2010 Workshop for setting up this interesting meeting. This work was supported by the German Research Foundation (DFG) within the Emmy Noether Program (Grant number ZA 279/1-2) and the Cluster of Excellence “QUEST”.

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  1. Institute for Theoretical Physics & Center for Quantum Engineering and Spacetime Research (QUEST), Leibniz Universität Hannover, Appelstr. 2, D-30167, Hannover, Germany

    Marco Zagermann

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Correspondence to Marco Zagermann .

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  1. , Centro de Astrofisica, Universidade do Porto, Rua das Estrelas, Porto, 4150-762, Portugal

    Carlos Martins

  2. INAF-Osservatorio Astronomico di Trieste, Via G.B. Tiepolo 11, Trieste, 34131, Italy

    Paolo Molaro

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Zagermann, M. (2011). String Theory, Dark Energy and Varying Couplings. In: Martins, C., Molaro, P. (eds) From Varying Couplings to Fundamental Physics. Astrophysics and Space Science Proceedings. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19397-2_3

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