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Tachyon condensation and brane descent relations in \(p\)-adic string theory. (English) Zbl 0984.81122

Summary: It has been conjectured that an extremum of the tachyon potential of a bosonic D-brane represents the vacuum without any D-brane, and that various tachyonic lump solutions represent D-branes of lower dimension. We show that the tree level effective action of \(p\)-adic string theory, the expression for which is known exactly, provides an explicit realisation of these conjectures.

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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[1] Sen, A., Descent relations among bosonic D-branes, Int. J. Mod. Phys. A, Vol. 14, 4061 (1999) · Zbl 1035.81553
[2] Recknagel, A.; Schomerus, V., Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B, Vol. 545, 233 (1999) · Zbl 0944.81029
[3] Callan, C. G.; Klebanov, I. R.; Ludwig, A. W.; Maldacena, J. M., Exact solution of a boundary conformal field theory, Nucl. Phys. B, Vol. 422, 417 (1994) · Zbl 0990.81693
[4] Polchinski, J.; Thorlacius, L., Free fermion representation of a boundary conformal field theory, Phys. Rev. D, Vol. 50, 622 (1994)
[5] Sen, A., Stable non-BPS bound states of BPS D-branes, JHEP, Vol. 9808, 010 (1998) · Zbl 0958.81088
[6] Sen, A., Tachyon condensation on the brane antibrane system, JHEP, Vol. 9808, 012 (1998) · Zbl 0955.81038
[7] Witten, E., D-branes and K-theory, JHEP, Vol. 9812, 019 (1998)
[8] Sen, A., BPS D-branes on non-supersymmetric cycles, JHEP, Vol. 9812, 021 (1998)
[9] Horava, P., Type IIA D-branes, K-theory, and matrix theory, Adv. Theor. Math. Phys., Vol. 2, 1373 (1999) · Zbl 1059.81590
[10] Sen, A., SO(32) spinors of type I and other solitons on brane-antibrane pair, JHEP, Vol. 9809, 023 (1998)
[11] Frau, M.; Gallot, L.; Lerda, A.; Strigazzi, P., Stable non-BPS D-branes in type I string theory, Nucl. Phys. B, Vol. 564, 60 (2000) · Zbl 0989.81105
[12] Majumder, J.; Sen, A., Vortex pair creation on brane-antibrane pair via marginal deformation · Zbl 0989.81552
[13] Kostelecky, V. A.; Samuel, S., The static tachyon potential in the open bosonic string theory, Phys. Lett. B, Vol. 207, 169 (1988)
[14] Kostelecky, V. A.; Potting, R., Expectation values Lorentz invariance, and CPT in the open bosonic string, Phys. Lett. B, Vol. 381, 89 (1996)
[15] Sen, A.; Zwiebach, B., Tachyon condensation in string field theory · Zbl 0959.81047
[16] Berkovits, N., The tachyon potential in open Neveu-Schwarz string field theory · Zbl 0959.81067
[17] Berkovits, N.; Sen, A.; Zwiebach, B., Tachyon condensation in superstring field theory · Zbl 1043.81710
[18] Moeller, N.; Taylor, W., Level truncation and the tachyon in open bosonic string field theory · Zbl 0984.81115
[19] Harvey, J. A.; Kraus, P., D-branes as unstable lumps in bosonic open string field theory · Zbl 0959.81051
[20] De Mello Koch, R.; Jevicki, A.; Mihailescu, M.; Tatar, R., Lumps and \(p\)-branes in open string field theory · Zbl 0990.81095
[21] Fendley, P.; Saleur, H.; Warner, N. P., Exact solution of a massless scalar field with a relevant boundary interaction, Nucl. Phys. B, Vol. 430, 577 (1994) · Zbl 1020.81686
[22] Harvey, J. A.; Kutasov, D.; Martinec, E. J., On the relevance of tachyons
[23] Recknagel, A.; Roggenkamp, D.; Schomerus, V., On relevant boundary perturbations of unitary minimal models · Zbl 1060.81546
[24] Freund, P. G.O.; Olson, M., Nonarchimedean strings, Phys. Lett. B, Vol. 199, 186 (1987)
[25] Freund, P. G.O.; Witten, E., Adelic string amplitudes, Phys. Lett. B, Vol. 199, 191 (1987)
[26] Brekke, L.; Freund, P. G.O.; Olson, M.; Witten, E., Non-archimedean string dynamics, Nucl. Phys. B, Vol. 302, 365 (1988)
[27] Frampton, P. H.; Okada, Y., The \(p\)-adic string \(N\) point function, Phys. Rev. Lett., Vol. 60, 484 (1988)
[28] Frampton, P. H.; Okada, Y., Effective scalar field theory of \(p\)-adic string, Phys. Rev. D, Vol. 37, 3077 (1988)
[29] Frampton, P. H.; Okada, Y.; Ubriaco, M. R., On adelic formulas for the \(p\)-adic string, Phys. Lett. B, Vol. 213, 260 (1988)
[30] Spokoiny, B. L., Quantum geometry of non-archimedean particles and strings, Phys. Lett. B, Vol. 208, 401 (1988)
[31] Parisi, G., On \(p\)-adic functional integrals, Mod. Phys. Lett. A, Vol. 3, 639 (1988)
[32] Zhang, R. B., Lagrangian formulation of open and closed \(p\)-adic strings, Phys. Lett. B, Vol. 209, 229 (1988)
[33] Hlousek, Z.; Spector, D., \(p\)-adic string theory, Ann. Phys., Vol. 189, 370 (1989)
[34] Brekke, L.; Freund, P. G.O., \(p\)-adic numbers in physics, Phys. Rep., Vol. 133, 1 (1993), and references therein
[35] Volovich, I. V., \(p\)-adic string, Class. Quant. Grav., Vol. 4, L83 (1987) · Zbl 0636.12015
[36] Grossman, B., \(p\)-adic strings, the Weyl conjectures and anomalies, Phys. Lett. B, Vol. 197, 101 (1987) · Zbl 0694.22006
[37] Zabrodin, A. V., Non-archimedean strings and Bruhat-Tits trees, Commun. Math. Phys., Vol. 123, 463 (1989) · Zbl 0676.22006
[38] Chekhov, L. O.; Mironov, A. D.; Zabrodin, A. V., Multiloop calculations in \(p\)-adic string theory and Bruhat-Tits trees, Commun. Math. Phys., Vol. 125, 675 (1989) · Zbl 0685.22005
[39] Frampton, P. H.; Nishino, H., Stability analysis of \(p\)-adic string solitons, Phys. Lett. B, Vol. 242, 354 (1990)
[40] Marshakov, A. V.; Zabrodin, A. V., New \(p\)-adic string amplitudes, Mod. Phys. Lett. A, Vol. 5, 265 (1990) · Zbl 1020.81789
[41] Chekhov, L. O.; Zinoviev, Y. M., \(p\)-Adic string compactified on a torus, Commun. Math. Phys., Vol. 130, 130 (1990)
[42] Gopakumar, R.; Minwalla, S.; Strominger, A., Noncommutative solitons · Zbl 1055.81073
[43] Witten, E., Noncommutative geometry and string field theory, Nucl. Phys. B, Vol. 268, 253 (1986)
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