Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 7 (2011), 065, 13 pages      arXiv:1105.4829      https://doi.org/10.3842/SIGMA.2011.065

Emergent Supersymmetry in Warped Backgrounds

Tomoaki Nagasawa a, Satoshi Ohya b, Kazuki Sakamoto c, d and Makoto Sakamoto d
a) Tomakomai National College of Technology, 443 Nishikioka, Tomakomai 059-1275, Japan
b) INFN and Dipartimento di Fisica, Università di Pisa, Largo Bruno Pontecorvo 3, 56127 Pisa, Italy
c) Present address: Materials Research Laboratory, Kobe Steel, Ltd., Japan
d) Department of Physics, Kobe University, 1-1 Rokkodai, Nada, Kobe 657-8501, Japan

Received May 27, 2011; Published online July 11, 2011

Abstract
We show that quantum mechanical supersymmetries are emerged in Kaluza-Klein spectrum of linearized gravity in several warped backgrounds as a consequence of higher-dimensional general coordinate invariance. These emergent supersymmetries play an essential role for the spectral structure of braneworld gravity. We show that for the case of braneworld models with two codimension-1 branes the spectral pattern is completely determined only through the supersymmetries.

Key words: supersymmetry; boundary condition; extra dimension.

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References

  1. Lim C.S., Nagasawa T., Sakamoto M., Sonoda H., Supersymmetry in gauge theories with extra dimensions, Phys. Rev. D 72 (2005), 064006, 11 pages, hep-th/0502022.
  2. Lim C.S., Nagasawa T., Ohya S., Sakamoto K., Sakamoto M., Supersymmetry in 5d Gravity, Phys. Rev. D 77 (2008), 045020, 13 pages, arXiv:0710.0170.
  3. Lim C.S., Nagasawa T., Ohya S., Sakamoto K., Sakamoto M., Gauge-fixing and residual symmetries in gauge/gravity theories with extra dimensions, Phys. Rev. D 77 (2008), 065009, 17 pages, arXiv:0801.0845.
  4. Randall L., Sundrum R., A large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999), 3370-3373, hep-ph/9905221.
  5. Randall L., Sundrum R., An alternative to compactification, Phys. Rev. Lett. 83 (1999), 4690-4693, hep-th/9906064.
  6. Karch A., Randall L., Locally localized gravity, J. High Energy Phys. 2001 (2001), no. 5, 008, 23 pages, hep-th/0011156.
  7. DeWolfe O., Freedman D.Z., Gubser S.S., Karch A., Modeling the fifth dimension with scalars and gravity, Phys. Rev. D 62 (2000), 046008, 16 pages, hep-th/9909134.
  8. Csáki C., Erlich J., Hollowood T.J., Shirman Y., Universal aspects of gravity localized on thick branes, Nuclear Phys. B 581 (2000), 309-338, hep-th/0001033.
  9. Miemiec A., A power law for the lowest eigenvalue in localized massive gravity, Fortsch. Phys. 49 (2001), 747-755, hep-th/0011160.
  10. Andrianov A.A., Cannata F., Dedonder J.P., Ioffe M.V., Second order derivative supersymmetry, q deformations and scattering problem, Internat. J. Modern Phys. A 10 (1995), 2683-2702, hep-th/9404061.
  11. Andrianov A.A., Ioffe M.V., Nishnianidze D.N., Polynomial supersymmetry and dynamical symmetries in quantum mechanics, Theoret. and Math. Phys. 104 (1995), 1129-1140.
  12. Fernández D.J., SUSUSY quantum mechanics, Internat. J. Modern Phys. A 12 (1997), 171-176, quant-ph/9609009.
  13. Aoyama H., Sato M., Tanaka T., N-fold supersymmetry in quantum mechanics: general formalism, Nuclear Phys. B 619 (2001), 105-127, quant-ph/0106037.
  14. Nagasawa T., Ohya S., Sakamoto K., Sakamoto M., Sekiya K., Hierarchy of QM SUSYs on a bounded domain, J. Phys. A: Math. Theor. 42 (2009), 265203, 15 pages, arXiv:0812.4659.
  15. Gen U., Sasaki M., Radion on the de Sitter brane, Prog. Theor. Phys. 105 (2001), 591-606, gr-qc/0011078.
  16. Cooper F., Khare A., Sukhatme U., Supersymmetry and quantum mechanics, Phys. Rept. 251 (1995), 267-385, hep-th/9405029.
  17. Breitenlohner P., Freedman D.Z., Positive energy in anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982), 197-201.


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