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Taylor, Washington IV; Van Raamsdonk, Mark

Multiple \(\text{D}0\)-branes in weakly curved backgrounds. (English) Zbl 1068.81582

Nucl. Phys., B 558, No. 1-2, 63-95 (1999).
Summary: We investigate further our recent proposal for the form of the matrix theory action in weak background fields. Using Seiberg’s scaling argument we relate the matrix theory action to a low-energy system of many D0-branes in an arbitrary but weak NS-NS and R-R background. The resulting multiple D0-brane action agrees with the known Born-Infeld action in the case of a single brane and gives an explicit formulation of many additional terms which appear in the multiple brane action. The linear coupling to an arbitrary background metric satisfies the non-trivial consistency condition suggested by Douglas that the masses of off-diagonal fields are given by the geodesic distance between the corresponding pair of D0-branes. This agreement arises from combinatorial factors which depend upon the symmetrized trace ordering prescription found earlier for higher moments of the matrix theory stress-energy tensor. We study the effect of a weak background metric on two graviton interactions and find that our formalism agrees with the results expected from supergravity. The results presented here can be T-dualized to give explicit formulae for the operators in any D-brane world-volume theory which couple linearly to bulk gravitational fields and their derivatives.

Cited in 28 Documents

MSC:

81T20 Quantum field theory on curved space or space-time backgrounds
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
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\textit{W. Taylor IV} and \textit{M. Van Raamsdonk}, Nucl. Phys., B 558, No. 1--2, 63--95 (1999; Zbl 1068.81582)
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References:

[1] Witten, E., String Theory Dynamics in Various Dimensions, Nucl. Phys. B, 443, 85 (1995), hep-th/9503124 · Zbl 0990.81663
[2] Polchinski, J., Dirichlet-Branes and Ramond-Ramond Charges, Phys. Rev. Lett., 75, 4724 (1995), hep-th/9510017 · Zbl 1020.81797
[4] Leigh, R. G., Dirac-Born-Infeld action from Dirichlet sigma model, Mod. Phys. Lett. A, 4, 2767 (1989)
[6] Li, M., Bound states of D-branes and Dy-strings, Nucl. Phys. B, 460, 351 (1996), hep-th/9510161 · Zbl 1003.81528
[7] Witten, E., Bound States of Strings and p-Branes, Nucl. Phys. B, 460, 335 (1996), hep-th/9510135 · Zbl 1003.81527
[8] Tseytlin, A. A., On Non-Abelian Generalisation of Born-Infeld Action in String Theory, Nucl. Phys. B, 501, 41 (1997), hep-th/9701125 · Zbl 0939.81030
[9] Seiberg, N., Why is the Matrix Model Correct?, Phys. Rev. Lett., 79, 3577 (1997), hep-th/9710009 · Zbl 0946.81062
[10] Sen, A., D0 Branes on \(T^n\) and Matrix Theory, Adv. Theor. Math. Phys., 2, 51 (1998), hep-th/9709220 · Zbl 0907.58087
[11] Banks, T.; Fischler, W.; Shenker, S.; Susskind, L., M Theory as a Matrix Model: A Conjecture, Phys. Rev. D, 55, 5112 (1997), hep-th/9610043
[13] Taylor, W.; Van Raamsdonk, M., Supergravity currents and linearized interactions for matrix theory configurations with fermion backgrounds, JHEP 9904, 013 (1999), hep-th/9812239
[14] Taylor, W.; Van Raamsdonk, M., Angular momentum and long-range gravitational interactions in Matrix theory, Nucl. Phys. B, 532, 227 (1998), hep-th/9712159 · Zbl 1078.81555
[15] Kabat, D.; Taylor, W., Linearized supergravity from Matrix theory, Phys. Lett. B, 426, 297 (1998), hep-th/9712185 · Zbl 1049.83533
[16] Douglas, M. R., D-branes in curved space, Adv. Theor. Math. Phys., 1, 198 (1998), hep-th/9703056 · Zbl 0907.32005
[17] Douglas, M. R.; Kabat, D.; Pouliot, P.; Shenker, S., D-Branes and Short Distances in String Theory, Nucl. Phys. B, 485, 85 (1997), hep-th/9608024 · Zbl 0925.81232
[18] Taylor, W., D-brane Field Theory on Compact Spaces, Phys. Lett. B, 394, 283 (1997), hep-th/9611042
[19] Witten, E., Small Instantons in String Theory, Nucl. Phys. B, 460, 541 (1996), hep-th/9511030 · Zbl 0935.81052
[20] Taylor, W., Lectures on D-branes, gauge theory and M (atrices), (Proceedings of Trieste summer school (1997)), to appear; hep-th/9801182
[21] Van Raamsdonk, M., Conservation of supergravity currents from matrix theory, Nucl. Phys. B, 542, 262 (1999), hep-th/9803003 · Zbl 0953.83032
[22] Bershadsky, M.; Vafa, C.; Sadov, V., D-branes and topological field theories, Nucl. Phys. B, 463, 420 (1996), hep-th/9511222 · Zbl 1004.81560
[23] Green, M. B.; Harvey, J. A.; Moore, G., I-brane Info and anomalous couplings on D-branes, Class. Quant. Grav., 14, 47 (1997), hep-th/9605033 · Zbl 0867.53063
[24] Cheung, Y.-K. E.; Yin, Z., Anomalies, branes, and currents, Nucl. Phys. B, 517, 69 (1998), hep-th/9710206 · Zbl 0945.81061
[25] Minasian, R.; Moore, G., K theory and Ramond-Ramond charge, JHEP 9711:002 (1997), hep-th/9710230 · Zbl 0949.81511
[26] Ganor, O. J.; Ramgoolam, S.; Taylor, W., Branes, Fluxes and Duality in M (atrix)-Theory, Nucl. Phys. B, 492, 191 (1997), hep-th/9611202 · Zbl 1004.81542
[27] Banks, T.; Seiberg, N.; Shenker, S., Branes from Matrices, Nucl. Phys. B, 497, 41 (1997), hep-th/9612157
[28] Douglas, M. R.; Kato, A.; Ooguri, H., D-brane actions on Kaehler manifolds, Adv. Theor. Math. Phys., 1, 237 (1998), hep-th/9708012
[29] Weinberg, S., Gravitation and Cosmology (1972), Wiley: Wiley New York
[30] Okawa, Y.; Yoneya, T., Multibody interactions of D-particles in supergravity and matrix theory, Nucl. Phys. B, 538, 67 (1999), hep-th/9806108 · Zbl 0940.83026
[36] Douglas, M. R.; Ooguri, H.; Shenker, S., Issues in M (atrix) Theory Compactification, Phys. Lett. B, 402, 36 (1997), hep-th/9702203
[37] Douglas, M. R.; Ooguri, H., Why Matrix Theory is Hard, Phys. Lett. B, 425, 71 (1998), hep-th/9710178
[38] Maldacena, J., The large N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys., 2, 231 (1998), hep-th/9711200 · Zbl 0914.53047
[39] Klebanov, I. R., World volume approach to absorption by non-dilatonic branes, Nucl. Phys. B, 496, 231 (1997), hep-th/9702076 · Zbl 0939.81021
[40] Gubser, S. S.; Klebanov, I. R.; Tseytlin, A. A., String theory and classical absorption by three-branes, Nucl. Phys. B, 499, 217 (1997), hep-th/9703040 · Zbl 0959.81071
[42] Das, S. R.; Trivedi, S. P., Three-brane action and the correspondence between \(N = 4\) Yang-Mills theory and anti-de Sitter space, Phys. Lett. B, 445, 142 (1998), hep-th/9804149
[43] Kim, H. J.; Romans, L. J.; van Nieuwenhuizen, P., Mass spectrum of chiral ten-dimensional \(N = 2\) supergravity on \(S^5\), Phys. Rev. D, 32, 389 (1985)
[44] Gunaydin, M.; Marcus, N., The spectrum of the \(S^5\) compactification of the chiral \(N = 2\), D = 10 supergravity and the unitarity supermultiplets of \(U(2,2|4)\), Class. Quan. Grav., 2, L11 (1985) · Zbl 0575.53060
[45] Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M., Gauge theory correlators from non-critical string theory, Phys. Lett. B, 428, 105 (1998), hep-th/9802109 · Zbl 1355.81126
[46] Witten, E., Anti-de Sitter space and holography, Adv. Theor. Math. Phys., 2, 231 (1998), hep-th/9802150
[47] D’Hoker, E.; Freedman, D.; Skiba, W., Field theory tests for correlators in the AdS/CFT correspondence, Phys. Rev. D, 59, 045008 (1999), hep-th/9807098
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