Abstract
Supergravity brane solutions allow for a generalised type of Kaluza-Klein reduction onto brane worldvolumes. The known replacement of a flat worldvolume metric by a Ricci-flat metric constitutes a consistent Kaluza-Klein truncation of the starting higher-dimensional supergravity theory down to a lower-dimensional pure gravity theory.
This paper shows how to extend such a brane-worldvolume pure-gravity consistent truncation to that for a full nonlinear supergravity theory for the Type IIB D3-brane and the M-theory/Type IIA M5-brane. The extension of worldvolume supersymmetry is given by the unbroken supersymmetry of the original flat “skeleton” brane. Compatibility with further worldvolume diagonal and transverse vertical dimensional reductions is also shown, providing the brane-worldvolume supergravity embeddings of all descendants of the skeleton D3- and M5-branes. Examples are given of brane-worldvolume supergravity solutions embedded into the corresponding higher-dimensional supergravities.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
V.A. Rubakov and M.E. Shaposhnikov, Do We Live Inside a Domain Wall?, Phys. Lett. B 125 (1983) 136 [INSPIRE].
C.W. Erickson, R. Leung and K.S. Stelle, Taxonomy of brane gravity localisations, JHEP 01 (2022) 130 [arXiv:2110.10688] [INSPIRE].
L. Randall and R. Sundrum, An Alternative to compactification, Phys. Rev. Lett. 83 (1999) 4690 [hep-th/9906064] [INSPIRE].
B. Crampton, C.N. Pope and K.S. Stelle, Braneworld localisation in hyperbolic spacetime, JHEP 12 (2014) 035 [arXiv:1408.7072] [INSPIRE].
C.M. Hull and N.P. Warner, Noncompact Gaugings From Higher Dimensions, Class. Quant. Grav. 5 (1988) 1517 [INSPIRE].
C.W. Erickson, R. Leung and K.S. Stelle, Higgs effect without lunch, Phil. Trans. Roy. Soc. Lond. A 380 (2022) 20210184 [arXiv:2202.00017] [INSPIRE].
D. Brecher and M.J. Perry, Ricci flat branes, Nucl. Phys. B 566 (2000) 151 [hep-th/9908018] [INSPIRE].
A. Chamblin, S.W. Hawking and H.S. Reall, Brane world black holes, Phys. Rev. D 61 (2000) 065007 [hep-th/9909205] [INSPIRE].
H. Lü and C.N. Pope, Branes on the brane, Nucl. Phys. B 598 (2001) 492 [hep-th/0008050] [INSPIRE].
M. Cvetič, H. Lü and C.N. Pope, Brane world Kaluza-Klein reductions and branes on the brane, J. Math. Phys. 42 (2001) 3048 [hep-th/0009183] [INSPIRE].
H. Lü, C.N. Pope and T.A. Tran, Five-dimensional N = 4, SU(2) × U(1) gauged supergravity from type IIB, Phys. Lett. B 475 (2000) 261 [hep-th/9909203] [INSPIRE].
G. Neugebauer and D. Kramer, A method for the construction of stationary Einstein-Maxwell fields. (in german), Annalen Phys. 24 (1969) 62 [INSPIRE].
P. Breitenlohner, D. Maison and G.W. Gibbons, Four-Dimensional Black Holes from Kaluza-Klein Theories, Commun. Math. Phys. 120 (1988) 295 [INSPIRE].
G. Clement and D.V. Galtsov, Stationary BPS solutions to dilaton-axion gravity, Phys. Rev. D 54 (1996) 6136 [hep-th/9607043] [INSPIRE].
D.V. Gal’tsov and O.A. Rytchkov, Generating branes via sigma models, Phys. Rev. D 58 (1998) 122001 [hep-th/9801160] [INSPIRE].
C.M. Hull and B. Julia, Duality and moduli spaces for timelike reductions, Nucl. Phys. B 534 (1998) 250 [hep-th/9803239] [INSPIRE].
H. Lü, C.N. Pope and K.S. Stelle, M theory/heterotic duality: A Kaluza-Klein perspective, Nucl. Phys. B 548 (1999) 87 [hep-th/9810159] [INSPIRE].
M.J. Duff, P.S. Howe, T. Inami and K.S. Stelle, Superstrings in D = 10 from Supermembranes in D = 11, Phys. Lett. B 191 (1987) 70 [INSPIRE].
H. Lü, C.N. Pope and K.S. Stelle, Vertical versus diagonal dimensional reduction for p-branes, Nucl. Phys. B 481 (1996) 313 [hep-th/9605082] [INSPIRE].
J. Schon and M. Weidner, Gauged N = 4 supergravities, JHEP 05 (2006) 034 [hep-th/0602024] [INSPIRE].
C.G. Callan, Jr., E.J. Martinec, M.J. Perry and D. Friedan, Strings in Background Fields, Nucl. Phys. B 262 (1985) 593 [INSPIRE].
G. Papadopoulos, J.G. Russo and A.A. Tseytlin, Curved branes from string dualities, Class. Quant. Grav. 17 (2000) 1713 [hep-th/9911253] [INSPIRE].
J.P. Gauntlett and O. Varela, Universal Kaluza-Klein reductions of type IIB to N = 4 supergravity in five dimensions, JHEP 06 (2010) 081 [arXiv:1003.5642] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2205.13551
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Leung, R., Stelle, K. Supergravities on branes. J. High Energ. Phys. 2022, 99 (2022). https://doi.org/10.1007/JHEP09(2022)099
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2022)099