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Stringy differential geometry for double field theory, beyond Riemann

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Abstract

While the fundamental object in Riemannian geometry is a metric, closed string theories call for us to put a two-form gauge field and a scalar dilaton on an equal footing with the metric. Here we propose a novel differential geometry which treats the three objects in a unified manner, manifests not only diffeomorphism and one-form gauge symmetry but also O(D, D) T-duality, and enables us to rewrite the known low energy effective action of them as a single term. We comment that the notion of cosmological constant naturally changes.

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References

  1. I. Jeon, K. Lee, and J.-H. Park, J. High Energy Phys. 104, 014 (2011).

    Article  MathSciNet  ADS  Google Scholar 

  2. I. Jeon, K. Lee, and J.-H. Park, Phys. Lett. B 710, 260–264 (2011).

    MathSciNet  ADS  Google Scholar 

  3. I. Jeon, K. Lee, and J.-H. Park, Phys. Rev. D: Part., Fields, Gravitation, Cosmol. 84, 044022 (2011).

    Article  Google Scholar 

  4. I. Jeon, K. Lee, and J.-H. Park, “Incorporation of Fermions into Double Field Theory,” J. High Energy Phys. (submitted). arXiv: 1109.2035[hep-th]

  5. I. Jeon, K. Lee, and J.-H. Park, “Supersymmetric Double Field Theory: Stringy Reformulation of Supergravity” (in preparation).

  6. T. H. Buscher, Phys. Lett. B 159, 127 (1985).

    Article  ADS  Google Scholar 

  7. T. H. Buscher, Phys. Lett. B 194, 59 (1987).

    Article  MathSciNet  ADS  Google Scholar 

  8. T. H. Buscher, Phys. Lett. B 201, 466 (1988).

    Article  MathSciNet  ADS  Google Scholar 

  9. A. Giveon, E. Rabinovici, and G. Veneziano, Nucl. Phys. B 322, 167 (1998).

    Article  MathSciNet  ADS  Google Scholar 

  10. A. A. Tseytlin, Phys. Lett. B 242, 163 (1990).

    Article  MathSciNet  ADS  Google Scholar 

  11. A. A. Tseytlin, Nucl. Phys. B 350, 395 (1991).

    Article  MathSciNet  ADS  Google Scholar 

  12. W. Siegel, Phys. Rev. D: Part. Fields 47, 5453 (1993).

    Article  ADS  Google Scholar 

  13. W. Siegel, Phys. Rev. D: Part. Fields 48, 2826 (1993).

    Article  ADS  Google Scholar 

  14. M. J. Duff, Nucl. Phys. B 335, 610 (1990).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  15. C. Hull and B. Zwiebach, J. High Energy Phys. 0909, 099 (2009).

    Article  MathSciNet  ADS  Google Scholar 

  16. C. Hull and B. Zwiebach, J. High Energy Phys. 0909, 090 (2009).

    Article  MathSciNet  ADS  Google Scholar 

  17. O. Hohm, C. Hull, and B. Zwiebach, J. High Energy Phys. 1007, 016 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  18. O. Hohm, C. Hull, and B. Zwiebach, J. High Energy Phys. 1008, 008 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  19. T. Courant, “Dirac Manifolds,” Trans. Am. Math. Soc. 319, 631–661 (1990).

    Article  MathSciNet  MATH  Google Scholar 

  20. M. Gualtieri, PhD Thesis (Univ. Oxford, Oxford, 2003). arXiv: math/0401221

  21. S. F. Hassan, “Supersymmetry,” Nucl. Phys. B 454, 86 (1995). arXiv:hep-th/9408060

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. S. K. Kwak, J. High Energy Phys. 1010, 047 (2010).

    Article  MathSciNet  ADS  Google Scholar 

  23. Anonymous Italian.

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Authors and Affiliations

  1. Department of Physics, Sogang University, Seoul, 121-742, Korea

    Jeong-Hyuck Park

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  1. Jeong-Hyuck Park
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Correspondence to Jeong-Hyuck Park.

Additional information

This proceeding article is based on the author’s collaborated works with Imtak Jeon and Kanghoon Lee [1–5].

The article is published in the original.

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Park, JH. Stringy differential geometry for double field theory, beyond Riemann. Phys. Part. Nuclei 43, 635–638 (2012). https://doi.org/10.1134/S1063779612050309

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