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Deformation Dynamics and the Gauss–Bonnet Topological Term in String Theory

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Abstract

We show that there exists a nontrivial contribution on the Witten covariant phase space when the Gauss–Bonnet topological term is added to the Dirac–Nambu–Goto action describing strings, because the geometry of deformations is modified, and on such space we construct a symplectic structure. Future extensions of the present results are outlined.

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REFERENCES

  • Capovilla, R. and Guven, J. (1995). Phys. Rev. D 51, 6736.

    Google Scholar 

  • Cartas-Fuentevilla, R. (2002). Class. Quan. Grav. 19, 3571.

    Google Scholar 

  • Cartas-Fuentevilla, R. (2004). The Euler Characteristic and the first Chern number in the covariant phase space formulation of string theory. Journal of Mathematical Physics 45, 2.

    Google Scholar 

  • Crncović, C. and Witten, E. (1987). In Three Hundred Years of Gravitation, S. W. Hawking and W. Israel, eds. Cambridge University Press. Cambridge, UK.

    Google Scholar 

  • Escalante, A. (2004). Basic symplectic geometry for p-branes with thickness in a curved background. Mod. Phys. Lett. A 19(27), 2069–2081.

    Google Scholar 

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Escalante, A. Deformation Dynamics and the Gauss–Bonnet Topological Term in String Theory. International Journal of Theoretical Physics 43, 1491–1502 (2004). https://doi.org/10.1023/B:IJTP.0000048633.32391.fd

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  • DOI: https://doi.org/10.1023/B:IJTP.0000048633.32391.fd

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