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Perturbations to kink-like topological defects in 2D anti de Sitter spacetime

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Abstract.

We examine codimension-1 topological defects whose associated worldline is geodesically embedded in AdS2. This discussion extends a previous study of exact analytical solutions to the equations of motion of topological defects in AdSn in a particular limit where the masses of the scalar and gauge field vanish. We study the linear perturbations about the zeroth-order kink-like solution and verify that they are stable. We also discuss general features of the perturbation expansion to all orders.

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References

  1. O. Alvarez, M. Haddad, J. High Energy Phys. 2018, 12 (2018)

    Article  Google Scholar 

  2. E.B. Bogomolny, Sov. J. Nucl. Phys. 24, 449 (1976)

    Google Scholar 

  3. M.K. Prasad, C.M. Sommerfield, Phys. Rev. Lett. 35, 760 (1975)

    Article  ADS  Google Scholar 

  4. A.R. Lugo, F.A. Schaposnik, Phys. Lett. B 467, 43 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  5. A.R. Lugo, E.F. Moreno, F.A. Schaposnik, Phys. Lett. B 473, 35 (2000)

    Article  ADS  MathSciNet  Google Scholar 

  6. T.A. Ivanova, O. Lechtenfeld, A.D. Popov, J. High Energy Phys. 2017, 17 (2017)

    Article  Google Scholar 

  7. S. Coleman, Aspects of Symmetry: Selected Erice Lectures (Cambridge University Press, Cambridge, 1985)

  8. N. Manton, P. Sutcliffe, Topological Solitons, in Cambridge Monographs on Mathematical Physics (Cambridge University Press, Cambridge, 2004)

  9. A. Rajantie, Philos. Trans. R. Soc. A 370 (2012) https://doi.org/10.1098/rsta.2011.0394

    Article  ADS  MathSciNet  Google Scholar 

  10. T. Vachaspati, L. Pogosian, D.A. Steer, Scholarpedia 10, 31682 (2015)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, University of Miami, 1320 Campo Sano Ave, 33146, Coral Gables, FL, USA

    Orlando Alvarez & Matthew Haddad

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  1. Orlando Alvarez
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  2. Matthew Haddad
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Correspondence to Orlando Alvarez.

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Alvarez, O., Haddad, M. Perturbations to kink-like topological defects in 2D anti de Sitter spacetime. Eur. Phys. J. Plus 134, 519 (2019). https://doi.org/10.1140/epjp/i2019-12864-x

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  • DOI: https://doi.org/10.1140/epjp/i2019-12864-x

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