Abstract
We study dynamics of a cosmic string in a metastable brane configuration in Type IIA string theory. We first discuss a decay process of the cosmic string via a fuzzy brane (equivalently bubble/string bound state) by neglecting gravitational corrections in ten-dimension. We find that depending on the strength of the magnetic field induced on the bubble, the decay rate can be either larger or smaller than that of O(4) symmetric bubble. Then, we investigate gravitational corrections to the fuzzy brane by using the extremal black N S-five brane solution, which makes the lifetime of the metastable state longer.
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References
R. Bousso and J. Polchinski, Quantization of four form fluxes and dynamical neutralization of the cosmological constant, JHEP 06 (2000) 006 [hep-th/0004134] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
L. Susskind, The anthropic landscape of string theory, in B. Carr ed., Universe or multiverse?, pp. 247–266 [hep-th/0302219] [INSPIRE].
S. Ashok and M.R. Douglas, Counting flux vacua, JHEP 01 (2004) 060 [hep-th/0307049] [INSPIRE].
T. Banks, Heretics of the false vacuum: gravitational effects on and of vacuum decay. 2, hep-th/0211160 [INSPIRE].
A. Aguirre and M.C. Johnson, Towards observable signatures of other bubble universes. II. Exact solutions for thin-wall bubble collisions, Phys. Rev. D 77 (2008) 123536 [arXiv:0712.3038] [INSPIRE].
A. Aguirre, T. Banks and M. Johnson, Regulating eternal inflation II: the great divide, JHEP 08 (2006) 065 [hep-th/0603107] [INSPIRE].
M. Dine, G. Festuccia and A. Morisse, The fate of nearly supersymmetric vacua, JHEP 09 (2009) 013 [arXiv:0901.1169] [INSPIRE].
B. Greene et al., Tumbling through a landscape: evidence of instabilities in high-dimensional moduli spaces, Phys. Rev. D 88 (2013) 026005 [arXiv:1303.4428] [INSPIRE].
A. Kasai and Y. Ookouchi, Decay of false vacuum via fuzzy monopole in string theory, arXiv:1502.01544 [INSPIRE].
R.C. Myers, Dielectric branes, JHEP 12 (1999) 022 [hep-th/9910053] [INSPIRE].
R. Emparan, Born-Infeld strings tunneling to D-branes, Phys. Lett. B 423 (1998) 71 [hep-th/9711106] [INSPIRE].
D. Mateos and P.K. Townsend, Supertubes, Phys. Rev. Lett. 87 (2001) 011602 [hep-th/0103030] [INSPIRE].
S. Kachru, J. Pearson and H.L. Verlinde, Brane/flux annihilation and the string dual of a nonsupersymmetric field theory, JHEP 06 (2002) 021 [hep-th/0112197] [INSPIRE].
A.R. Frey, M. Lippert and B. Williams, The fall of stringy de Sitter, Phys. Rev. D 68 (2003) 046008 [hep-th/0305018] [INSPIRE].
U.H. Danielsson and T. Van Riet, Fatal attraction: more on decaying anti-branes, JHEP 03 (2015) 087 [arXiv:1410.8476] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Giant tachyons in the landscape, JHEP 02 (2015) 146 [arXiv:1410.7776] [INSPIRE].
U.H. Danielsson, Perturbative decay of anti-branes in flux backgrounds due to space time instabilities, arXiv:1502.01234 [INSPIRE].
P.J. Steinhardt, Monopole and vortex dissociation and decay of the false vacuum, Nucl. Phys. B 190 (1981) 583 [INSPIRE].
P.J. Steinhardt, Monopole dissociation in the early universe, Phys. Rev. D 24 (1981) 842 [INSPIRE].
Y. Hosotani, Impurities in the early universe, Phys. Rev. D 27 (1983) 789 [INSPIRE].
U.A. Yajnik, Phase transition induced by cosmic strings, Phys. Rev. D 34 (1986) 1237 [INSPIRE].
B. Kumar, M.B. Paranjape and U.A. Yajnik, Fate of the false monopoles: induced vacuum decay, Phys. Rev. D 82 (2010) 025022 [arXiv:1006.0693] [INSPIRE].
B. Kumar and U. Yajnik, Graceful exit via monopoles in a theory with O’Raifeartaigh type supersymmetry breaking, Nucl. Phys. B 831 (2010) 162 [arXiv:0908.3949] [INSPIRE].
B. Kumar and U.A. Yajnik, On stability of false vacuum in supersymmetric theories with cosmic strings, Phys. Rev. D 79 (2009) 065001 [arXiv:0807.3254] [INSPIRE].
T. Hiramatsu, M. Eto, K. Kamada, T. Kobayashi and Y. Ookouchi, Instability of colliding metastable strings, JHEP 01 (2014) 165 [arXiv:1304.0623] [INSPIRE].
K. Kamada, T. Kobayashi, K. Ohashi and Y. Ookouchi, Cosmic R-string in thermal history, JHEP 05 (2013) 091 [arXiv:1303.2740] [INSPIRE].
M. Eto et al., Cosmic R-string, R-tube and vacuum instability, JHEP 03 (2013) 159 [arXiv:1211.7237] [INSPIRE].
B.-H. Lee et al., Tunneling decay of false vortices, Phys. Rev. D 88 (2013) 085031 [arXiv:1308.3501] [INSPIRE].
H. Ooguri and Y. Ookouchi, Meta-stable supersymmetry breaking vacua on intersecting branes, Phys. Lett. B 641 (2006) 323 [hep-th/0607183] [INSPIRE].
S. Franco, I. Garcia-Etxebarria and A.M. Uranga, Non-supersymmetric meta-stable vacua from brane configurations, JHEP 01 (2007) 085 [hep-th/0607218] [INSPIRE].
I. Bena, E. Gorbatov, S. Hellerman, N. Seiberg and D. Shih, A note on (meta)stable brane configurations in MQCD, JHEP 11 (2006) 088 [hep-th/0608157] [INSPIRE].
A. Giveon and D. Kutasov, Gauge symmetry and supersymmetry breaking from intersecting branes, Nucl. Phys. B 778 (2007) 129 [hep-th/0703135] [INSPIRE].
A. Giveon and D. Kutasov, Stable and metastable vacua in SQCD, Nucl. Phys. B 796 (2008) 25 [arXiv:0710.0894] [INSPIRE].
M. Eto, K. Hashimoto and S. Terashima, Solitons in supersymmetry breaking meta-stable vacua, JHEP 03 (2007) 061 [hep-th/0610042] [INSPIRE].
R. Kitano, H. Ooguri and Y. Ookouchi, Supersymmetry breaking and gauge mediation, Ann. Rev. Nucl. Part. Sci. 60 (2010) 491 [arXiv:1001.4535] [INSPIRE].
M.J. Duncan and L.G. Jensen, Exact tunneling solutions in scalar field theory, Phys. Lett. B 291 (1992) 109 [INSPIRE].
S.R. Coleman, The fate of the false vacuum: semiclassical theory, Phys. Rev. D 15 (1977) 2929 [INSPIRE].
K.A. Intriligator, N. Seiberg and D. Shih, Dynamical SUSY breaking in meta-stable vacua, JHEP 04 (2006) 021 [hep-th/0602239] [INSPIRE].
A. Giveon, D. Kutasov, J. McOrist and A.B. Royston, D-term supersymmetry breaking from branes, Nucl. Phys. B 822 (2009) 106 [arXiv:0904.0459] [INSPIRE].
G.T. Horowitz and A. Strominger, Black strings and P-branes, Nucl. Phys. B 360 (1991) 197 [INSPIRE].
K. Hashimoto, Dynamical decay of brane anti-brane and dielectric brane, JHEP 07 (2002) 035 [hep-th/0204203] [INSPIRE].
Y. Hyakutake, Torus-like dielectric D2-brane, JHEP 05 (2001) 013 [hep-th/0103146] [INSPIRE].
D.K. Park, S. Tamarian, Y.G. Miao and H.J.W. Muller-Kirsten, Tunneling of Born-Infeld strings to D2-branes, Nucl. Phys. B 606 (2001) 84 [hep-th/0011116] [INSPIRE].
D.K. Park, S. Tamarian and H.J.W. Muller-Kirsten, The stability of D2-branes in the presence of an RR field, JHEP 05 (2002) 009 [hep-th/0012108] [INSPIRE].
J. Polchinski, String theory. Vol. 1: An introduction to the bosonic string. Vol. 2: Superstring theory and beyond, Cambridge University Press, Cambridge U.K. (1998).
B. Zwiebach, A first course in string theory, Cambridge University Press, Cambridge U.K. (2009).
D. Kutasov, O. Lunin, J. McOrist and A.B. Royston, Dynamical vacuum selection in string theory, Nucl. Phys. B 833 (2010) 64 [arXiv:0909.3319] [INSPIRE].
H. Ooguri and Y. Ookouchi, Landscape of supersymmetry breaking vacua in geometrically realized gauge theories, Nucl. Phys. B 755 (2006) 239 [hep-th/0606061] [INSPIRE].
M. Aganagic, C. Beem, J. Seo and C. Vafa, Geometrically induced metastability and holography, Nucl. Phys. B 789 (2008) 382 [hep-th/0610249] [INSPIRE].
R. Kitano, H. Ooguri and Y. Ookouchi, Direct mediation of meta-stable supersymmetry breaking, Phys. Rev. D 75 (2007) 045022 [hep-ph/0612139] [INSPIRE].
R. Argurio, M. Bertolini, S. Franco and S. Kachru, Meta-stable vacua and D-branes at the conifold, JHEP 06 (2007) 017 [hep-th/0703236] [INSPIRE].
H. Ooguri, Y. Ookouchi and C.-S. Park, Metastable vacua in perturbed Seiberg-Witten theories, Adv. Theor. Math. Phys. 12 (2008) 405 [arXiv:0704.3613] [INSPIRE].
R. Auzzi and E. Rabinovici, On metastable vacua in perturbed \( \mathcal{N}=2 \) theories, JHEP 08 (2010) 044 [arXiv:1006.0637] [INSPIRE].
J. Marsano, H. Ooguri, Y. Ookouchi and C.-S. Park, Metastable vacua in perturbed Seiberg-Witten theories. Part 2: Fayet-Iliopoulos terms and Kähler normal coordinates, Nucl. Phys. B 798 (2008) 17 [arXiv:0712.3305] [INSPIRE].
G. Pastras, Non supersymmetric metastable vacua in \( \mathcal{N}=2 \) SYM softly broken to \( \mathcal{N}=1 \), JHEP 10 (2013) 060 [arXiv:0705.0505] [INSPIRE].
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Kasai, A., Ookouchi, Y. Gravitational correction to fuzzy string in metastable brane configuration. J. High Energ. Phys. 2015, 98 (2015). https://doi.org/10.1007/JHEP06(2015)098
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DOI: https://doi.org/10.1007/JHEP06(2015)098