Toward precision holography in type IIA with Wilson loops

Aguilera-Damia, Jeremías; Faraggi, Alberto; Pando Zayas, Leopoldo A.; Rathee, Vimal; Silva, Guillermo A.

doi:10.1007/jhep08(2018)044

Title: Toward precision holography in type IIA with Wilson loops

Abstract

We study the one-loop effective action of certain classical type IIA string configurations in AdS₄ × CP³. These configurations are dual to Wilson loops in the N = 6 U(N)_k × U(N)_–k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.

Authors:

Aguilera-Damia, Jeremías ^[1];

^[2];

^[3];

^[4];

^[5]

Instituto de Fisica de La Plata - CONICET & Dept. de Fisica, La Plata (Argentina)
Univ. Andres Bello, Santiago (Chile)
The Univ. of Michigan, Ann Arbor, MI (United States); The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
The Univ. of Michigan, Ann Arbor, MI (United States)
Instituto de Fisica de La Plata - CONICET & Dept. de Fisica, La Plata (Argentina); The Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)

Publication Date:: Fri Aug 10 00:00:00 EDT 2018

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States)

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

OSTI Identifier:: 1505834

Alternate Identifier(s):: OSTI ID: 1650338

Grant/Contract Number:: SC0007859; SC0017808

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: 2018; Journal Issue: 8; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; AdS-CFT Correspondence; Wilson; 't Hooft and Polyakov loops

Citation Formats


                    Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, and Silva, Guillermo A. Toward precision holography in type IIA with Wilson loops.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep08(2018)044.

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                    Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, & Silva, Guillermo A. Toward precision holography in type IIA with Wilson loops.  United States.  https://doi.org/10.1007/jhep08(2018)044

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                    Aguilera-Damia, Jeremías, Faraggi, Alberto, Pando Zayas, Leopoldo A., Rathee, Vimal, and Silva, Guillermo A. Fri .  
"Toward precision holography in type IIA with Wilson loops".  United States.  https://doi.org/10.1007/jhep08(2018)044.  https://www.osti.gov/servlets/purl/1505834.

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@article{osti_1505834,

  title        = {Toward precision holography in type IIA with Wilson loops},

  author       = {Aguilera-Damia, Jeremías and Faraggi, Alberto and Pando Zayas, Leopoldo A. and Rathee, Vimal and Silva, Guillermo A.},

  abstractNote = {We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × CP3. These configurations are dual to Wilson loops in the N = 6 U(N)k × U(N)–k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.},

  doi          = {10.1007/jhep08(2018)044},

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

  number       = 8,

  volume       = 2018,

  place        = {United States},

  year         = {Fri Aug 10 00:00:00 EDT 2018},

  month        = {Fri Aug 10 00:00:00 EDT 2018}

}

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Works referencing / citing this record:

One-loop holography with strings in AdS4 × ℂℙ3
journal, October 2019

David, Marina; de León Ardón, Rodrigo; Faraggi, Alberto
Journal of High Energy Physics, Vol. 2019, Issue 10
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Combinatorics of Wilson loops in $$ \mathcal{N} $$ = 4 SYM theory
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Mück, Wolfgang
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Quantum corrections to minimal surfaces with mixed three-form flux
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Hernández, Rafael; Nieto, Juan Miguel; Ruiz, Roberto
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Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
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Mück, Wolfgang
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Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
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Garay, Anthonny F. Canazas; Faraggi, Alberto; Mück, Wolfgang
arXiv
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One-loop Holography with Strings in $AdS_4\times\mathbb {CP}^3$
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David, Marina; Ardón, Rodrigo de León; Faraggi, Alberto
arXiv
DOI: 10.48550/arxiv.1907.08590

Quantum corrections to minimal surfaces with mixed three-form flux
text, January 2019

Hernandez, Rafael; Nieto, Juan Miguel; Ruiz, Roberto
arXiv
DOI: 10.48550/arxiv.1911.01150

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Title: Toward precision holography in type IIA with Wilson loops

Abstract

Citation Formats

One-loop corrections to a holographic Wilson loop in AdS 4 × ℂℙ3 journal, September 2012

Precision matching of circular Wilson loops and strings in AdS5 × S5 journal, May 2018

Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS 5 × S 5 journal, March 2017

Precision calculation of 1/4-BPS Wilson loops in AdS5×S5 journal, February 2016

Higher rank ABJM Wilson loops from matrix models journal, November 2016

Exact results for Wilson loops in superconformal Chern-Simons theories with matter journal, March 2010

Functional determinants of radial operators in AdS2 journal, June 2018

Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling journal, May 2008

Wilson loops in 3-dimensional 𝒩 = 6 supersymmetric Chern-Simons theory and their string theory duals journal, November 2008

New supersymmetric Wilson loops in ABJ(M) theories journal, December 2012

A semiclassical string description of Wilson loop with local operators journal, July 2008

Supersymmetric Wilson loops in super-Chern–Simons-matter theory journal, January 2010

A supermatrix model for $$ \mathcal{N} $$ = 6 super Chern-Simons-matter theory journal, February 2010

Spectral functions and zeta functions in hyperbolic spaces journal, August 1994

Towards the exact Bremsstrahlung function of ABJM theory journal, August 2017

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis journal, June 2014

On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces journal, September 1996

Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension journal, May 2016

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation journal, October 2017

More about one-loop effective action of open superstring in AdS5 × S5 journal, September 2012

Exact results in ABJM theory from topological strings journal, June 2010

Summing up all genus free energy of ABJM matrix model journal, August 2011

String corrections to circular Wilson loop and anomalies journal, February 2018

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals journal, October 2008

Spectra of certain holographic ABJM Wilson loops in higher rank representations journal, November 2016

Green-Schwarz string in AdS 5 × S 5 : semiclassical partition function journal, March 2000

Exact Bremsstrahlung functions in ABJM theory journal, July 2018

Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops journal, May 2012

Semiclassical analysis of M2-brane in AdS4×S7/Z k journal, December 2010

Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual journal, March 2009

From Weak to Strong Coupling in ABJM Theory journal, May 2011

Aharony–Bergman–Jafferis–Maldacena Wilson Loops in the Fermi Gas Approach journal, February 2013

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation text, January 2017

Towards the exact Bremsstrahlung function of ABJM theory text, January 2017

A Semiclassical String Description of Wilson Loop with Local Operators text, January 2007

Localization of gauge theory on a four-sphere and supersymmetric Wilson loops text, January 2007

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals text, January 2008

Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual text, January 2008

Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter text, January 2009

Exact Results in ABJM Theory from Topological Strings text, January 2009

From weak to strong coupling in ABJM theory text, January 2010

New supersymmetric Wilson loops in ABJ(M) theories text, January 2012

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis text, January 2014

Precision calculation of 1/4-BPS Wilson loops in AdS$_5\times S^5$ text, January 2015

Higher Rank ABJM Wilson Loops from Matrix Models text, January 2016

Towards the exact Bremsstrahlung function of ABJM theory text, January 2017

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation text, January 2017

String corrections to circular Wilson loop and anomalies text, January 2017

Functional Determinants of Radial Operators in $AdS_2$ text, January 2018

Exact Bremsstrahlung functions in ABJM theory text, January 2018

Precision matching of circular Wilson loops and strings in AdS(5)xS(5) text, January 2018

Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function text, January 2000

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation text, January 2017

One-loop holography with strings in AdS4 × ℂℙ3 journal, October 2019

Combinatorics of Wilson loops in $$ \mathcal{N} $$ = 4 SYM theory journal, November 2019

Quantum corrections to minimal surfaces with mixed three-form flux journal, January 2020

Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory text, January 2019

Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory text, January 2019

One-loop Holography with Strings in $AdS_4\times\mathbb {CP}^3$ text, January 2019

Quantum corrections to minimal surfaces with mixed three-form flux text, January 2019

One-loop corrections to a holographic Wilson loop in AdS 4 × ℂℙ3
journal, September 2012

Precision matching of circular Wilson loops and strings in AdS5 × S5
journal, May 2018

Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in AdS 5 × S 5
journal, March 2017

Precision calculation of 1/4-BPS Wilson loops in AdS5×S5
journal, February 2016

Higher rank ABJM Wilson loops from matrix models
journal, November 2016

Exact results for Wilson loops in superconformal Chern-Simons theories with matter
journal, March 2010

Functional determinants of radial operators in AdS2
journal, June 2018

Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
journal, May 2008

Wilson loops in 3-dimensional 𝒩 = 6 supersymmetric Chern-Simons theory and their string theory duals
journal, November 2008

New supersymmetric Wilson loops in ABJ(M) theories
journal, December 2012

A semiclassical string description of Wilson loop with local operators
journal, July 2008

Supersymmetric Wilson loops in super-Chern–Simons-matter theory
journal, January 2010

A supermatrix model for $$ \mathcal{N} $$ = 6 super Chern-Simons-matter theory
journal, February 2010

Spectral functions and zeta functions in hyperbolic spaces
journal, August 1994

Towards the exact Bremsstrahlung function of ABJM theory
journal, August 2017

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
journal, June 2014

On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
journal, September 1996

Surprises from the resummation of ladders in the ABJ(M) cusp anomalous dimension
journal, May 2016

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
journal, October 2017

More about one-loop effective action of open superstring in AdS5 × S5
journal, September 2012

Exact results in ABJM theory from topological strings
journal, June 2010

Summing up all genus free energy of ABJM matrix model
journal, August 2011

String corrections to circular Wilson loop and anomalies
journal, February 2018

𝒩 = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
journal, October 2008

Spectra of certain holographic ABJM Wilson loops in higher rank representations
journal, November 2016

Green-Schwarz string in AdS ₅ × S ⁵ : semiclassical partition function
journal, March 2000

Exact Bremsstrahlung functions in ABJM theory
journal, July 2018

Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops
journal, May 2012

Semiclassical analysis of M2-brane in AdS4×S7/Z k
journal, December 2010

Wilson loops in superconformal Chern-Simons theory and fundamental strings in Anti-de Sitter supergravity dual
journal, March 2009

From Weak to Strong Coupling in ABJM Theory
journal, May 2011

Aharony–Bergman–Jafferis–Maldacena Wilson Loops in the Fermi Gas Approach
journal, February 2013

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
text, January 2017

Towards the exact Bremsstrahlung function of ABJM theory
text, January 2017

A Semiclassical String Description of Wilson Loop with Local Operators
text, January 2007

Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
text, January 2007

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
text, January 2008

Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
text, January 2008

Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
text, January 2009

Exact Results in ABJM Theory from Topological Strings
text, January 2009

From weak to strong coupling in ABJM theory
text, January 2010

New supersymmetric Wilson loops in ABJ(M) theories
text, January 2012

BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
text, January 2014

Precision calculation of 1/4-BPS Wilson loops in AdS$_5\times S^5$
text, January 2015

Higher Rank ABJM Wilson Loops from Matrix Models
text, January 2016

Towards the exact Bremsstrahlung function of ABJM theory
text, January 2017

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
text, January 2017

String corrections to circular Wilson loop and anomalies
text, January 2017

Functional Determinants of Radial Operators in $AdS_2$
text, January 2018

Exact Bremsstrahlung functions in ABJM theory
text, January 2018

Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
text, January 2018

Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
text, January 2000

Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
text, January 2017

One-loop holography with strings in AdS4 × ℂℙ3
journal, October 2019

Combinatorics of Wilson loops in $$ \mathcal{N} $$ = 4 SYM theory
journal, November 2019

Quantum corrections to minimal surfaces with mixed three-form flux
journal, January 2020

Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
text, January 2019

Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
text, January 2019

One-loop Holography with Strings in $AdS_4\times\mathbb {CP}^3$
text, January 2019

Quantum corrections to minimal surfaces with mixed three-form flux
text, January 2019