Abstract
We construct gauge-invariant and U-duality covariant expressions for Wess-Zumino terms corresponding to general Dp-branes (0 ≤ p ≤ D − 1) in arbitrary 3 ≤ D ≤ 10 dimensions. A distinguishing feature of these Wess-Zumino terms is that they contain twice as many scalars as the 10 − D compactified dimensions, in line with doubled geometry. We find that for D < 10 the charges of the higher-dimensional branes can all be expressed as products of the 0-brane charges, which include the D0-brane and the NS-NS 0-brane charges. We give the general expressions for these charges and show how they determine the non-trivial conjugacy class to which some of the higher-dimensional D-branes belong.
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References
J. Polchinski, Dirichlet-Branes and Ramond-Ramond Charges, Phys. Rev. Lett. 75 (1995) 4724 [hep-th/9510017] [SPIRES].
M.J. Duff, R.R. Khuri and J.X. Lu, String solitons, Phys. Rept. 259 (1995) 213 [hep-th/9412184] [SPIRES].
K.S. Stelle, BPS branes in supergravity, hep-th/9803116 [SPIRES].
J. Polchinski, String Theory, vols. 1&2, Cambridge University Press (1998).
M.B. Green, J.A. Harvey and G.W. Moore, I-brane inflow and anomalous couplings on D-branes, Class. Quant. Grav. 14 (1997) 47 [hep-th/9605033] [SPIRES].
E. Bergshoeff and M. De Roo, D-branes and T-duality, Phys. Lett. B 380 (1996) 265 [hep-th/9603123] [SPIRES].
E. Bergshoeff, M. de Roo, M.B. Green, G. Papadopoulos and P.K. Townsend, Duality of Type II 7-branes and 8-branes, Nucl. Phys. B 470 (1996) 113 [hep-th/9601150] [SPIRES].
L.J. Romans, Massive N=2a Supergravity in Ten-Dimensions, Phys. Lett. B 169 (1986) 374 [SPIRES].
E.A. Bergshoeff, M. de Roo, S.F. Kerstan and F. Riccioni, IIB Supergravity Revisited, JHEP 08 (2005) 098 [hep-th/0506013] [SPIRES].
E.A. Bergshoeff, M. de Roo, S.F. Kerstan, T. Ortín and F. Riccioni, SL(2,R)-invariant IIB brane actions, JHEP 02 (2007) 007 [hep-th/0611036] [SPIRES].
B. Julia, Group Disintegrations in Supergravity and Superspace, S.W. Hawking and M. Rocek eds., Cambridge University Press (1981).
B. Julia, Kac-Moody Symmetry of Gravitation and Supergravity Theories in Lectures in Applied Mathematics, Am. Math. Soc. 21 (1985) 355.
C.M. Hull and P.K. Townsend, Unity of superstring dualities, Nucl. Phys. B 438 (1995) 109 [hep-th/9410167] [SPIRES].
M.J. Duff and J.X. Lu, Duality rotations in membrane theory, Nucl. Phys. B 347 (1990) 394 [SPIRES].
P.C. West, E 11 and M-theory, Class. Quant. Grav. 18 (2001) 4443 [hep-th/0104081] [SPIRES].
I. Schnakenburg and P.C. West, Kac-Moody symmetries of IIB supergravity, Phys. Lett. B 517 (2001) 421 [hep-th/0107181] [SPIRES].
A. Kleinschmidt, I. Schnakenburg and P.C. West, Very-extended Kac-Moody algebras and their interpretation at low levels, Class. Quant. Grav. 21 (2004) 2493 [hep-th/0309198] [SPIRES].
F. Riccioni and P.C. West, The E 11 origin of all maximal supergravities, JHEP 07 (2007) 063 [arXiv:0705.0752] [SPIRES].
E.A. Bergshoeff, I. De Baetselier and T.A. Nutma, E 11 and the embedding tensor, JHEP 09 (2007) 047 [arXiv:0705.1304] [SPIRES].
F. Riccioni, D. Steele and P. West, The E 11 origin of all maximal supergravities - the hierarchy of field-strengths, JHEP 09 (2009) 095 [arXiv:0906.1177] [SPIRES].
N.A. Obers and B. Pioline, U-duality and M-theory, Phys. Rept. 318 (1999) 113 [hep-th/9809039] [SPIRES].
P.K. Townsend, Membrane tension and manifest IIB S-duality, Phys. Lett. B 409 (1997) 131 [hep-th/9705160] [SPIRES].
M. Cederwall and P.K. Townsend, The manifestly Sl(2,Z)-covariant superstring, JHEP 09 (1997) 003 [hep-th/9709002] [SPIRES].
M. Cederwall and A. Westerberg, World-volume fields, SL(2,Z) and duality: The type IIB 3-brane, JHEP 02 (1998) 004 [hep-th/9710007] [SPIRES].
A. Westerberg and N. Wyllard, Towards a manifestly SL(2,Z)-covariant action for the type IIB (p,q) super-five-branes, JHEP 06 (1999) 006 [hep-th/9905019] [SPIRES].
E. Cremmer, B. Julia, H. Lü and C.N. Pope, Dualisation of dualities. II: Twisted self-duality of doubled fields and superdualities, Nucl. Phys. B 535 (1998) 242 [hep-th/9806106] [SPIRES].
G. Dall’Agata, K. Lechner and M. Tonin, D = 10, N = IIB supergravity: Lorentz-invariant actions and duality, JHEP 07 (1998) 017 [hep-th/9806140] [SPIRES].
E.A. Bergshoeff, J. Hartong, P.S. Howe, T. Ortín and F. Riccioni, IIA/IIB Supergravity and Ten-forms, JHEP 05 (2010) 061 [arXiv:1004.1348] [SPIRES].
F. Riccioni and P. West, Local E 11, JHEP 04 (2009) 051 [arXiv:0902.4678] [SPIRES].
E.A. Bergshoeff, J. Hartong, O. Hohm, M. Huebscher and T. Ortín, Gauge Theories, Duality Relations and the Tensor Hierarchy, JHEP 04 (2009) 123 [arXiv:0901.2054] [SPIRES].
R. Slansky, Group Theory for Unified Model Building, Phys. Rept. 79 (1981) 1 [SPIRES].
C.M. Hull, A geometry for non-geometric string backgrounds, JHEP 10 (2005) 065 [hep-th/0406102] [SPIRES].
C.M. Hull, Doubled geometry and T-folds, JHEP 07 (2007) 080 [hep-th/0605149] [SPIRES].
C.M. Hull and R.A. Reid-Edwards, Gauge Symmetry, T-duality and Doubled Geometry, JHEP 08 (2008) 043 [arXiv:0711.4818] [SPIRES].
C. Albertsson, T. Kimura and R.A. Reid-Edwards, D-branes and doubled geometry, JHEP 04 (2009) 113 [arXiv:0806.1783] [SPIRES].
H. Nicolai and H. Samtleben, Compact and noncompact gauged maximal supergravities in three dimensions, JHEP 04 (2001) 022 [hep-th/0103032] [SPIRES].
B. de Wit, H. Samtleben and M. Trigiante, On Lagrangians and gaugings of maximal supergravities, Nucl. Phys. B 655 (2003) 93 [hep-th/0212239] [SPIRES].
B. de Wit, H. Samtleben and M. Trigiante, Gauging maximal supergravities, Fortsch. Phys. 52 (2004) 489 [hep-th/0311225] [SPIRES].
E.A. Bergshoeff and F. Riccioni, D-Brane Wess-Zumino Terms and the Embedding Tensor, in preparation.
E. Bergshoeff, P.S. Howe, S. Kerstan and L. Wulff, Kappa-symmetric SL(2,R) covariant D-brane actions, JHEP 10 (2007) 050 [arXiv:0708.2722] [SPIRES].
E.A. Bergshoeff and F. Riccioni, in preparation.
J. de Boer, Black Holes and Exotic States talk given at the Crete Conference on Gauge Theories and the Structure of Spacetime, Kolymbari, Greece, September 2010.
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ArXiv ePrint: 1009.4657
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Bergshoeff, E.A., Riccioni, F. D-brane Wess-Zumino terms and U-duality. J. High Energ. Phys. 2010, 139 (2010). https://doi.org/10.1007/JHEP11(2010)139
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DOI: https://doi.org/10.1007/JHEP11(2010)139