Intersecting <span class="aps-inline-formula"><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>D</mi></math></span>-branes in ten and six dimensions

Klaus Behrndt; Eric Bergshoeff; Bert Janssen

doi:10.1103/PhysRevD.55.3785

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Intersecting $D$ -branes in ten and six dimensions

Klaus Behrndt

Eric Bergshoeff and Bert Janssen

Institut für Physik, Humboldt-Universität, 10115 Berlin, Germany

Institute for Theoretical Physics, Nijenborgh 4, 9747 AG Groningen, The Netherlands

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Phys. Rev. D 55, 3785 – Published 15 March, 1997

DOI: https://doi.org/10.1103/PhysRevD.55.3785

Abstract

We show how, via $T$ duality, intersecting $D$ brane configurations in ten (six) dimensions can be obtained from the elementary $D$ -brane configurations by embedding a type IIB $D$ -brane into a type IIB nine-brane (five-brane) and give a classification of such configurations. We show that only a very specific subclass of these configurations can be realized as (supersymmetric) solutions to the equations of motion of IIA or IIB supergravity. Whereas the elementary $D$ -brane solutions in $d = 10$ are characterized by a single harmonic function, those in $d = 6$ contain two independent harmonic functions and may be viewed as the intersection of two $d = 10$ elementary $D$ -branes. Using string-string-string triality in six dimensions we show that the heterotic version of the elementary $d = 6$ $D$ -brane solutions correspond in ten dimensions to intersecting Neveu-Schwarz–Neveu-Schwarz (NS-NS) strings or five-branes and their $T$ duals. We comment on the implications of our results in other than ten and six dimensions.

References (31)

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[c1] J. Polchinski, Phys. Rev. Lett.75, 184 (1995).

[c2] J. Polchinski, S. Chauduri, and C.V. Johnson, “Notes on $D$ -branes,” Report No. hep-th/9602052 (unpublished).

[c3] A. Giveon, M. Porrati, and E. Rabinovici, Phys. Rep.244, 77 (1994).

[c4] E. Bergshoeff and M. de Roo, Phys. Lett. B380, 265 (1996).

[c5] E. Witten, Nucl. Phys.B460, 336 (1996); M. Bershadsky, C. Vafa and V. Sadov, B463, 398 (1996); A. Sen, Phys. Rev. D54, 2964 (1996); 53, 2874 (1996); C. Vafa, Nucl. Phys.B463, 415 (1996); M. Douglas, “Branes within Branes,” Report No. hep-th/9512077 (unpublished); M.B. Green and M. Gutperle, Nucl. Phys.B476, 484 (1996).

[c6] A. Strominger, Phys. Lett. B383, 44 (1996).

[c7] P.K. Townsend, Phys. Lett. B373, 68 (1996).

[c8] R.R. Khuri, Phys. Rev. D48, 2947 (1993).

[c9] M.J. Duff, S. Ferrara, R. Khuri and J. Rahmfeld, Phys. Lett. B356, 479 (1995).

[c10] G.T. Horowitz and A.A. Tseytlin, Phys. Rev. D51, 2896 (1995).

[c11] M. Cvetic and A.A. Tseytlin, Phys. Rev. D53, 5619 (1996).

[c12] A.A. Tseytlin, Mod. Phys. Lett. A11, 689 (1996).

[c13] C.G. Callan, Jr. and J.M. Maldacena, Nucl. Phys.B472, 591 (1996).

[c14] G. Papadopoulos and P.K. Townsend, Phys. Lett. B380, 273 (1996).

[c15] R. Güven, Phys. Lett. B276, 49 (1992).

[c16] M.J. Duff and K.S. Stelle, Phys. Lett. B253, 113 (1991).

[c17] A.A. Tseytlin, B475, 149 (1996); I.R. Klebanov and A.A. Tseytlin, INS B475, 179 (1996).

[c18] G. Papadopoulos, Fortschr. Phys.44, 573 (1996).

[c19] M.J. Duff, R.R. Khuri and J.X. Lu Phys. Rep.259, 213 (1995).

[c20] H. Lü, C.N. Pope, E. Sezgin and K.S. Stelle, Nucl. Phys.B456, 669 (1995).

[c21] M.J. Duff, J.T. Liu, and J. Rahmfeld, Nucl. Phys. B459, 125 (1996).

[c22] K. Behrndt, E. Bergshoeff and B. Janssen, Nucl. Phys.B467, 100 (1996).

[c23] E. Bergshoeff, C.M. Hull and T. Ortín, Nucl. Phys.B451, 547 (1995).

[c24] E. Bergshoeff, H.J. Boonstra and T. Ortín, Phys. Rev. D53, 7206 (1996).

[c25] K. Behrndt and R. Kallosh, Nucl. Phys.B468, 85 (1996); Phys. Rev. D53, 589 (1996).

[c26] A. Peet, Nucl. Phys.B456, 732 (1995).

[c27] A. Sen, Nucl. Phys.B440, 421 (1995).

[c28] A. Strominger and C. Vafa, Phys. Lett. B379, 99 (1996).

[c29] K. Behrndt, Nucl. Phys.B455, 188 (1995).

[c30] T. Ortín, Phys. Rev. Lett.76, 3890 (1996).

[c31] J.P. Gauntlett, D.A. Kastor and J. Traschen, Nucl. Phys.B478, 544 (1996).

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Intersecting $D$ -branes in ten and six dimensions

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Intersecting D-branes in ten and six dimensions

Abstract

References (31)

Intersecting $D$ -branes in ten and six dimensions