Abstract
The world-volume action of a probe D3-brane in AdS 5 × S 5 with N units of flux has the field content, symmetries, and dualities of the U(1) factor of \( \mathcal{N} \) = 4 U(N + 1) super Yang-Mills theory, spontaneously broken to U(N) × U(1) by being on the Coulomb branch, with the massive fields integrated out. Thus, it might be the exact effective action (a highly effective action), or else a useful approximation to it. We construct an SL(2, ℤ) multiplet of BPS soliton solutions of the D3-brane action and show that in the N = 1 case they correspond to the electrically charged states that have been integrated out as well as magnetic monopoles and dyons. Their charges are uniformly spread on a spherical surface, a soliton bubble, which can be interpreted as a phase boundary. This picture is consistent with previous results in the string theory and field theory literature.
References
J.H. Schwarz, Highly effective actions, JHEP 01 (2014) 088 [arXiv:1311.0305] [INSPIRE].
R.R. Metsaev and A.A. Tseytlin, Supersymmetric D3-brane action in AdS 5 × S 5, Phys. Lett. B 436 (1998) 281 [hep-th/9806095] [INSPIRE].
F. Ferrari, Gauge theories, D-branes and holography, Nucl. Phys. B 880 (2014) 247 [arXiv:1310.6788] [INSPIRE].
H.S. Yang, Highly effective action from large-N gauge fields, arXiv:1402.5134 [INSPIRE].
D. Belov and G.W. Moore, Conformal blocks for AdS 5 singletons, hep-th/0412167 [INSPIRE].
O. Aharony, N. Seiberg and Y. Tachikawa, Reading between the lines of four-dimensional gauge theories, JHEP 08 (2013) 115 [arXiv:1305.0318] [INSPIRE].
C.G. Callan and J.M. Maldacena, Brane death and dynamics from the Born-Infeld action, Nucl. Phys. B 513 (1998) 198 [hep-th/9708147] [INSPIRE].
M. Shifman and A. Yung, Supersymmetric solitons, Cambridge University Press, Cambridge U.K. (2009).
J.P. Gauntlett, C. Kohl, D. Mateos, P.K. Townsend and M. Zamaklar, Finite energy Dirac-Born-Infeld monopoles and string junctions, Phys. Rev. D 60 (1999) 045004 [hep-th/9903156] [INSPIRE].
J.M. Maldacena, The large-N limit of superconformal field theories and supergravity, Adv. Theor. Math. Phys. 2 (1998) 231 [Int. J. Theor. Phys. 38 (1999) 1113] [hep-th/9711200] [INSPIRE].
S. Ferrara, R. Kallosh and A. Strominger, N = 2 extremal black holes, Phys. Rev. D 52 (1995) 5412 [hep-th/9508072] [INSPIRE].
F. Denef, Attractors at weak gravity, Nucl. Phys. B 547 (1999) 201 [hep-th/9812049] [INSPIRE].
F. Denef, Supergravity flows and D-brane stability, JHEP 08 (2000) 050 [hep-th/0005049] [INSPIRE].
F. Denef, B.R. Greene and M. Raugas, Split attractor flows and the spectrum of BPS D-branes on the quintic, JHEP 05 (2001) 012 [hep-th/0101135] [INSPIRE].
F. Denef and G.W. Moore, Split states, entropy enigmas, holes and halos, JHEP 11 (2011) 129 [hep-th/0702146] [INSPIRE].
B. Swingle and M. Van Raamsdonk, Universality of gravity from entanglement, arXiv:1405.2933 [INSPIRE].
G. Dvali and C. Gomez, Black holes as critical point of quantum phase transition, Eur. Phys. J. C 74 (2014) 2752 [arXiv:1207.4059] [INSPIRE].
R. de Mello Koch, A. Paulin-Campbell and J.P. Rodrigues, Monopole dynamics in N = 2 super Yang-Mills theory from a three-brane probe, Nucl. Phys. B 559 (1999) 143 [hep-th/9903207] [INSPIRE].
C.V. Johnson, A.W. Peet and J. Polchinski, Gauge theory and the excision of repulson singularities, Phys. Rev. D 61 (2000) 086001 [hep-th/9911161] [INSPIRE].
I.A. Popescu and A.D. Shapere, BPS equations, BPS states and central charge of N = 2 supersymmetric gauge theories, JHEP 10 (2002) 033 [hep-th/0102169] [INSPIRE].
N. Seiberg and E. Witten, Electric-magnetic duality, monopole condensation and confinement in N = 2 supersymmetric Yang-Mills theory, Nucl. Phys. B 426 (1994) 19 [Erratum ibid. B 430 (1994) 485] [hep-th/9407087] [INSPIRE].
S. Bolognesi, Multi-monopoles, magnetic bags, bions and the monopole cosmological problem, Nucl. Phys. B 752 (2006) 93 [hep-th/0512133] [INSPIRE].
K.-M. Lee and E.J. Weinberg, BPS magnetic monopole bags, Phys. Rev. D 79 (2009) 025013 [arXiv:0810.4962] [INSPIRE].
S. Bolognesi, Magnetic bags and black holes, Nucl. Phys. B 845 (2011) 324 [arXiv:1005.4642] [INSPIRE].
D. Harland, The large-N limit of the Nahm transform, Commun. Math. Phys. 311 (2012) 689 [arXiv:1102.3048] [INSPIRE].
N.S. Manton, Monopole planets and galaxies, Phys. Rev. D 85 (2012) 045022 [arXiv:1111.2934] [INSPIRE].
D. Harland, S. Palmer and C. Sämann, Magnetic domains, JHEP 10 (2012) 167 [arXiv:1204.6685] [INSPIRE].
C.H. Taubes, Magnetic bag like solutions to the SU(2) monopole equations on ℝ3, Commun. Math. Phys. 330 (2014) 539 [arXiv:1302.5314] [INSPIRE].
R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi and H. Murayama, NonAbelian monopoles, Nucl. Phys. B 701 (2004) 207 [hep-th/0405070] [INSPIRE].
R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi and A. Yung, Non-abelian superconductors: vortices and confinement in N = 2 SQCD, Nucl. Phys. B 673 (2003) 187 [hep-th/0307287] [INSPIRE].
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.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1405.7444
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Schwarz, J.H. BPS soliton solutions of a D3-brane action. J. High Energ. Phys. 2014, 136 (2014). https://doi.org/10.1007/JHEP07(2014)136
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2014)136
Keywords
- D-branes
- AdS-CFT Correspondence
- Conformal Field Models in String Theory