BPS soliton solutions of a D3-brane action

Schwarz, John H.

doi:10.1007/JHEP07(2014)136

Title: BPS soliton solutions of a D3-brane action

Abstract

The world-volume action of a probe D3-brane in AdS₅ × S⁵ 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, $$\mathbb{Z}$$) 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.

Authors:

Schwarz, John H. ^[1]

California Inst. of Technology (CalTech), Pasadena, CA (United States)

Publication Date:: Mon Jul 28 00:00:00 EDT 2014

Research Org.:: California Institute of Technology (CalTech), Pasadena, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1596451

Grant/Contract Number:: SC0011632

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2014; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Nature

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; D-branes; AdS-CFT Correspondence; Conformal Field Models in String Theory

Citation Formats


                    Schwarz, John H. BPS soliton solutions of a D3-brane action.  United States: N. p., 2014. 
Web.  doi:10.1007/JHEP07(2014)136.

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                    Schwarz, John H. BPS soliton solutions of a D3-brane action.  United States.  https://doi.org/10.1007/JHEP07(2014)136

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                    Schwarz, John H. Mon .  
"BPS soliton solutions of a D3-brane action".  United States.  https://doi.org/10.1007/JHEP07(2014)136.  https://www.osti.gov/servlets/purl/1596451.

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@article{osti_1596451,

  title        = {BPS soliton solutions of a D3-brane action},

  author       = {Schwarz, John H.},

  abstractNote = {The world-volume action of a probe D3-brane in AdS5 × S5 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, $\mathbb{Z}$) 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.},

  doi          = {10.1007/JHEP07(2014)136},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 7,

  volume       = 2014,

  place        = {United States},

  year         = {Mon Jul 28 00:00:00 EDT 2014},

  month        = {Mon Jul 28 00:00:00 EDT 2014}

}

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Works referencing / citing this record:

Holographic flows and thermodynamics of Polyakov loop impurities
journal, March 2017

Kumar, S. Prem; Silvani, Dorian
Journal of High Energy Physics, Vol. 2017, Issue 3
DOI: 10.1007/jhep03(2017)107

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Title: BPS soliton solutions of a D3-brane action

Abstract

Citation Formats

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Non-Abelian monopoles journal, November 2004

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The Large N Limit of the Nahm Transform journal, November 2011

Supergravity flows and D-brane stability journal, August 2000

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The large $N$ limit of superconformal field theories and supergravity journal, January 1998

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Multi-monopoles and magnetic bags journal, September 2006

Magnetic domains journal, October 2012

Highly effective actions journal, January 2014

Supersymmetric D3 brane action in AdS5×S5 journal, September 1998

Magnetic bags and black holes journal, April 2011

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory journal, September 1994

Nonabelian superconductors: vortices and confinement in SQCD journal, November 2003

Central Charge and BPS Equations of Script N = 2 Supersymmetric Yang-Mills Theory journal, October 2002

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The Large N Limit of Superconformal Field Theories and Supergravity text, January 1997

Attractors at weak gravity text, January 1998

Holographic flows and thermodynamics of Polyakov loop impurities journal, March 2017

Brane dynamics from the Born-Infeld action
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Non-Abelian monopoles
journal, November 2004

Attractors at weak gravity
journal, May 1999

The Large N Limit of the Nahm Transform
journal, November 2011

Supergravity flows and D-brane stability
journal, August 2000

Split attractor flows and the spectrum of BPS D-branes on the quintic
journal, May 2001

The large $N$ limit of superconformal field theories and supergravity
journal, January 1998

Black holes as critical point of quantum phase transition
journal, February 2014

Magnetic Bag Like Solutions to the SU(2) Monopole Equations on $${{\mathbb R}^{3}}$$ R 3
journal, March 2014

Monopole dynamics in super Yang-Mills theory from a threebrane probe
journal, October 1999

Gauge theories, D-branes and holography
journal, March 2014

Multi-monopoles and magnetic bags
journal, September 2006

Magnetic domains
journal, October 2012

Highly effective actions
journal, January 2014

Supersymmetric D3 brane action in AdS5×S5
journal, September 1998

Magnetic bags and black holes
journal, April 2011

Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
journal, September 1994

Nonabelian superconductors: vortices and confinement in SQCD
journal, November 2003

Central Charge and BPS Equations of Script N = 2 Supersymmetric Yang-Mills Theory
journal, October 2002

The large N limit of superconformal field theories and supergravity
conference, January 1999

Magnetic Domains
text, January 2012

Black Holes as Critical Point of Quantum Phase Transition
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Reading between the lines of four-dimensional gauge theories
text, January 2013

Highly Effective Actions
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Supergravity flows and D-brane stability
text, January 2000

Split attractor flows and the spectrum of BPS D-branes on the Quintic
text, January 2001

Split States, Entropy Enigmas, Holes and Halos
text, January 2007

The Large N Limit of Superconformal Field Theories and Supergravity
text, January 1997

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text, January 1998

Holographic flows and thermodynamics of Polyakov loop impurities
journal, March 2017