Gauge-gravity correspondence in a de Sitter braneworld

Kazuo Ghoroku

doi:10.1103/PhysRevD.69.084003

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Gauge-gravity correspondence in a de Sitter braneworld

Kazuo Ghoroku^*

Fukuoka Institute of Technology, Wajiro, Higashi-ku Fukuoka 811-0295, Japan

^*Electronic address: gouroku@dontaku.fit.ac.jp

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Phys. Rev. D 69, 084003 – Published 2 April, 2004

DOI: https://doi.org/10.1103/PhysRevD.69.084003

Abstract

We study the braneworld solutions based on a solvable model of 5D gauged supergravity with two scalars of conformal dimension 3, which correspond to bilinear operators of fermions in the dual $N = 4$ super Yang-Mills theory on the boundary. An accelerating braneworld solution is obtained when both scalars are taken as the form of deformations of the super Yang-Mills theory and the bulk supersymmetry is broken. This solution is smoothly connected to the Poincaré invariant brane in the limit of a vanishing cosmological constant. The stability of this brane solution and the correspondence to the gauge theory are addressed.

References (26)

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F. Bigazzi, A.L. Cotrone, M. Petrini, and A. Zaffaroni, Riv. Nuovo Cimento 25 (12), 1 (2002); Phys. Lett. B 570, 89 (2003).
H. Verlinde, Nucl. Phys. B580, 264 (2000).
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S.B. Giddings, E. Katz, and L. Randall, J. High Energy Phys. 03, 023 (2000).
M.J. Duff and J.T. Liu, Phys. Rev. Lett. 85, 2052 (2000).
K. Ghoroku and M. Yahiro, Phys. Rev. D 66, 124020 (2002).
P. Breitenlohner and D.Z. Freedman, Ann. Phys. (N.Y.) 144, 249 (1982); Phys. Lett. 115B, 197 (1982).
K. Ghoroku and A. Nakamura, Phys. Rev. D 64, 084028 (2001).
K. Ghoroku, M. Tachibana, and N. Uekusa, Phys. Rev. D 68, 125002 (2003).
S. Kobayashi, K. Koyama, and J. Soda, Phys. Rev. D 65, 064014 (2002).
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K. Skenderis and P.K. Townsend, Phys. Lett. B 468, 46 (1999).
O. DeWolfe, D. Freedman, S. Gubser, and A. Karch, Phys. Rev. D 62, 046008 (2000).
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Ph. Brax and A.C. Davis, Phys. Lett. B 447, 289 (2001).
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D. Freedman, S. Gubser, K. Pilch, and N. Warner, Adv. Theor. Math. Phys. 3, 363 (1999).
I. Brevik, K. Ghoroku, S.D. Odintsov, and M. Yahiro, Phys. Rev. D 66, 064016-1-9 (2002).
K. Ghoroku and N. Uekusa, hep-th/0212102.
L. Girardello, M. Petrini, M. Porrati, and A. Zaffaroni, J. High Energy Phys. 12, 022 (1998).
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[c1] J.M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998); S.S. Gubser, I.R. Klebanov, and A.M. Polyakov, Phys. Lett. B 428, 105 (1998); E. Witten, Adv. Theor. Math. Phys. 2, 253 (1998); A.M. Polyakov, Int. J. Mod. Phys. A 14, 645 (1999).

[c2] F. Bigazzi, A.L. Cotrone, M. Petrini, and A. Zaffaroni, Riv. Nuovo Cimento 25 (12), 1 (2002); Phys. Lett. B 570, 89 (2003).

[c3] H. Verlinde, Nucl. Phys. B580, 264 (2000).

[c4] N. Arkani-Hamed, M. Porrati, and L. Landall, J. High Energy Phys. 08, 021 (2001).

[c5] R. Rattazzi and A. Zaffaroni, J. High Energy Phys. 04, 017 (2001).

[c6] M. Perez-Victoria, J. High Energy Phys. 05, 064 (2001).

[c7] A. Buchel, Phys. Rev. D 65, 125015 (2002).

[c8] S.B. Giddings, E. Katz, and L. Randall, J. High Energy Phys. 03, 023 (2000).

[c9] M.J. Duff and J.T. Liu, Phys. Rev. Lett. 85, 2052 (2000).

[c10] K. Ghoroku and M. Yahiro, Phys. Rev. D 66, 124020 (2002).

[c11] P. Breitenlohner and D.Z. Freedman, Ann. Phys. (N.Y.) 144, 249 (1982); Phys. Lett. 115B, 197 (1982).

[c12] K. Ghoroku and A. Nakamura, Phys. Rev. D 64, 084028 (2001).

[c13] K. Ghoroku, M. Tachibana, and N. Uekusa, Phys. Rev. D 68, 125002 (2003).

[c14] S. Kobayashi, K. Koyama, and J. Soda, Phys. Rev. D 65, 064014 (2002).

[c15] L. Girardello, M. Petrini, M. Porrati, and A. Zaffaroni, Nucl. Phys. B596, 451 (2000).

[c16] K. Skenderis and P.K. Townsend, Phys. Lett. B 468, 46 (1999).

[c17] O. DeWolfe, D. Freedman, S. Gubser, and A. Karch, Phys. Rev. D 62, 046008 (2000).

[c18] E. Bergshoeff, R. Kallosh, and A. Van Proeyen, J. High Energy Phys. 10, 033 (2000).

[c19] Ph. Brax and A.C. Davis, Phys. Lett. B 447, 289 (2001).

[c20] L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 4690 (1999); ibid.83, 3370 (1999).

[c21] D. Freedman, S. Gubser, K. Pilch, and N. Warner, Adv. Theor. Math. Phys. 3, 363 (1999).

[c22] I. Brevik, K. Ghoroku, S.D. Odintsov, and M. Yahiro, Phys. Rev. D 66, 064016-1-9 (2002).

[c23] K. Ghoroku and N. Uekusa, hep-th/0212102.

[c24] L. Girardello, M. Petrini, M. Porrati, and A. Zaffaroni, J. High Energy Phys. 12, 022 (1998).

[c25] M. Giovannini, Phys. Rev. D 64, 064023 (2001).

[c26] J. Babington, D.E. Crooks, and N. Evans, J. High Energy Phys. 02, 024 (2003); Phys. Rev. D 67, 066007 (2003).

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Gauge-gravity correspondence in a de Sitter braneworld

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