Abstract
In quantum field theory, charged particles with spin ≥ 1 may become tachyonic in the present of magnetic fluxes above some critical field, signaling an instability of the vacuum. The phenomenon is generic, in particular, similar instabilities are known to exist in open and closed string theory, where a spinning string state can become tachyonic above a critical field. In compactifications involving RR fluxes F p+2, the quantum states which could become tachyonic by the same Nielsen-Olesen mechanism are Dp branes. By constructing an appropriate background with RR magnetic flux that takes into account back-reaction, we identify the possible tachyonic Dp brane states and compute the formula for the energy spectrum in a sector. More generally, we argue that in any background RR magnetic flux, there are high spin Dp quantum states which become very light at critical fields.
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References
N.K. Nielsen and P. Olesen, An Unstable Yang-Mills Field Mode, Nucl. Phys. B 144 (1978) 376 [INSPIRE].
J. Ambjørn and P. Olesen, On electroweak magnetism, Nucl. Phys. B 315 (1989) 606 [INSPIRE].
J. Ambjørn and P. Olesen, A Magnetic Condensate Solution of the Classical Electroweak Theory, Phys. Lett. B 218 (1989) 67 [Erratum ibid. B 220 (1989) 659] [INSPIRE].
J. Ambjørn and P. Olesen, A Condensate Solution of the Electroweak Theory Which Interpolates Between the Broken and the Symmetric Phase, Nucl. Phys. B 330 (1990) 193 [INSPIRE].
S. Ferrara and M. Porrati, String phase transitions in a strong magnetic field, Mod. Phys. Lett. A 8 (1993) 2497 [hep-th/9306048] [INSPIRE].
C. Bachas, A way to break supersymmetry, hep-th/9503030 [INSPIRE].
J.G. Russo, Strong magnetic limit of string theory, JHEP 06 (2005) 005 [hep-th/0504187] [INSPIRE].
J.G. Russo and A.A. Tseytlin, Exactly solvable string models of curved space-time backgrounds, Nucl. Phys. B 449 (1995) 91 [hep-th/9502038] [INSPIRE].
J.G. Russo and A.A. Tseytlin, Magnetic flux tube models in superstring theory, Nucl. Phys. B 461 (1996) 131 [hep-th/9508068] [INSPIRE].
E. Kiritsis and C. Kounnas, Infrared behavior of closed superstrings in strong magnetic and gravitational fields, Nucl. Phys. B 456 (1995) 699 [hep-th/9508078] [INSPIRE].
J.G. Russo and A.A. Tseytlin, Magnetic backgrounds and tachyonic instabilities in closed superstring theory and M-theory, Nucl. Phys. B 611 (2001) 93 [hep-th/0104238] [INSPIRE].
S. Minwalla and T. Takayanagi, Evolution of D-branes under closed string tachyon condensation, JHEP 09 (2003) 011 [hep-th/0307248] [INSPIRE].
R. Iengo, J. Lopez Carballo and J.G. Russo, Strings and D-branes in a supersymmetric magnetic flux background, JHEP 08 (2007) 047 [arXiv:0707.0455] [INSPIRE].
J.G. Russo and A.A. Tseytlin, Supersymmetric fluxbrane intersections and closed string tachyons, JHEP 11 (2001) 065 [hep-th/0110107] [INSPIRE].
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].
J. Polchinski, Brane/antibrane dynamics and KKLT stability, arXiv:1509.05710 [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].
M.R. Douglas, The statistics of string/M theory vacua, JHEP 05 (2003) 046 [hep-th/0303194] [INSPIRE].
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ArXiv ePrint: 1604.03484
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Russo, J.G. D branes in background fluxes and Nielsen-Olesen instabilities. J. High Energ. Phys. 2016, 21 (2016). https://doi.org/10.1007/JHEP06(2016)021
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DOI: https://doi.org/10.1007/JHEP06(2016)021