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BPS Soliton Solutions of a D3-brane Action

Schwarz, John H. (2014) BPS Soliton Solutions of a D3-brane Action. Journal of High Energy Physics, 2014 (7). Art. No. 136. ISSN 1126-6708. doi:10.1007/JHEP07(2014)136.

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The world-volume action of a probe D3-brane in AdS_5 X S^5 with N = 4 units of flux has the field content, symmetries, and dualities of the U(1) factor of N = 4U(N+1) super Yang--Mills theory, spontaneously broken to U(N) x 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.

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Schwarz, John H.0000-0001-9861-7559
Additional Information:© 2014 The Authors. Published for SISSA by Springer. 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. Article funded by SCOAP3. Received: July 8, 2014. Accepted: July 12, 2014. Published: July 28, 2014. The author wishes to acknowledge discussions and correspondence with Frank Ferrari, Abhijit Gadde, Jerome Gauntlett, Nicholas Hunter-Jones, Elias Kiritsis, Arthur Lipstein, Nick Manton, Hirosi Ooguri, Jaemo Park, Nati Seiberg, and David Tong. He is also grateful to Yuji Tachikawa for reading a draft of the manuscript and making helpful comments. This work was supported in part by DOE Grant # DE-SC0011632.
Group:Walter Burke Institute for Theoretical Physics, Caltech Theory
Funding AgencyGrant Number
Department of Energy (DOE)DE-SC0011632
Subject Keywords:D-branes, AdS-CFT Correspondence, Conformal Field Models in String Theory
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Issue or Number:7
Record Number:CaltechAUTHORS:20140813-153935670
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Official Citation: BPS soliton solutions of a D3-brane action John H. Schwarz Article: 136
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:48536
Deposited By: Joy Painter
Deposited On:14 Aug 2014 00:56
Last Modified:10 Nov 2021 18:32

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