Divergences and boundary modes in $ \mathcal{N}=8 $ supergravity

Larsen, Finn; Lisbao, Pedro

doi:10.1007/JHEP01(2016)024

Title: Divergences and boundary modes in $$ \mathcal{N}=8 $$ supergravity

Abstract

We reconsider the one loop divergence of $$ \mathcal{N}=8 $$ supergravity in four dimensions. We compute the finite effective potential of $$ \mathcal{N}=8 $$ anti-deSitter supergravity and interpret it as logarithmic running of the cosmological constant. We show that quantum inequivalence between fields that are classically dual is due to boundary modes in AdS₄. In conclusion, the boundary modes are important in global AdS₄ but not in thermal AdS₄ since these geometries have different Euler characteristic.

Authors:

Larsen, Finn ^[1]; Lisbao, Pedro ^[1]

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

Publication Date:: Thu Jan 07 00:00:00 EST 2016

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

Sponsoring Org.:: USDOE

OSTI Identifier:: 1327322

Grant/Contract Number:: FG02-95ER40899

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: 2016; Journal Issue: 1; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; supergravity models; AdS-CFT correspondence

Citation Formats


                    Larsen, Finn, and Lisbao, Pedro. Divergences and boundary modes in $ \mathcal{N}=8 $ supergravity.  United States: N. p., 2016. 
Web.  doi:10.1007/JHEP01(2016)024.

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                    Larsen, Finn, & Lisbao, Pedro. Divergences and boundary modes in $ \mathcal{N}=8 $ supergravity.  United States.  https://doi.org/10.1007/JHEP01(2016)024

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                    Larsen, Finn, and Lisbao, Pedro. Thu .  
"Divergences and boundary modes in $ \mathcal{N}=8 $ supergravity".  United States.  https://doi.org/10.1007/JHEP01(2016)024.  https://www.osti.gov/servlets/purl/1327322.

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@article{osti_1327322,

  title        = {Divergences and boundary modes in $ \mathcal{N}=8 $ supergravity},

  author       = {Larsen, Finn and Lisbao, Pedro},

  abstractNote = {We reconsider the one loop divergence of $ \mathcal{N}=8 $ supergravity in four dimensions. We compute the finite effective potential of $ \mathcal{N}=8 $ anti-deSitter supergravity and interpret it as logarithmic running of the cosmological constant. We show that quantum inequivalence between fields that are classically dual is due to boundary modes in AdS4. In conclusion, the boundary modes are important in global AdS4 but not in thermal AdS4 since these geometries have different Euler characteristic.},

  doi          = {10.1007/JHEP01(2016)024},

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

  number       = 1,

  volume       = 2016,

  place        = {United States},

  year         = {Thu Jan 07 00:00:00 EST 2016},

  month        = {Thu Jan 07 00:00:00 EST 2016}

}

Copy to clipboard

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Is <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>8</mml:mn></mml:math> supergravity ultraviolet finite?
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Works referencing / citing this record:

Non-local Effects of Conformal Anomaly
journal, March 2018

Meissner, Krzysztof A.; Nicolai, Hermann
Foundations of Physics, Vol. 48, Issue 10
DOI: 10.1007/s10701-018-0160-5

Non-Renormalization For Non-Supersymmetric Black Holes
text, January 2017

Charles, Anthony M.; Larsen, Finn; Mayerson, Daniel R.
arXiv
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A One-loop Test of Quantum Black Holes in Anti de Sitter Space
text, January 2017

Liu, James T.; Zayas, Leopoldo A. Pando; Rathee, Vimal
arXiv
DOI: 10.48550/arxiv.1711.01076

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Title: Divergences and boundary modes in $$ \mathcal{N}=8 $$ supergravity

Abstract

Citation Formats

SURPRISING SIMPLICITY OF $\mathcal{N}=8$ SUPERGRAVITY journal, December 2009

5 loops in 24/5 dimensions journal, August 2010

Axial and conformal anomalies for arbitrary spin in gravity and supergravity journal, July 1978

New gravitational index theorems and super theorems journal, July 1979

Quantizing gravity with a cosmological constant journal, December 1980

Worldline approach to vector and antisymmetric tensor fields journal, April 2005

Worldline approach to vector and antisymmetric tensor fields II journal, October 2005

Hidden ghosts journal, June 1980

Quantum inequivalence of different field representations journal, July 1980

Quantum equivalence of different field representations journal, July 1981

One-loop effects on the round seven-sphere journal, August 1984

Vanishing quantum vacuum energy in eleven-dimensional supergravity on the round seven-sphere journal, August 1984

Quantum equivalence of dual field theories journal, June 1985

The Large-N Limit of Superconformal Field Theories and Supergravity journal, January 1999

The Boundary Weyl Anomaly in the = 4 SYM/Type IIB Supergravity Correspondence journal, January 2004

One loop tests of higher spin AdS/CFT journal, December 2013

Logarithmic corrections to extremal black hole entropy from quantum entropy function journal, March 2011

Logarithmic corrections to $$ \mathcal{N} = {4} $$ and $$ \mathcal{N} = {8} $$ black hole entropy: a one loop test of quantum gravity journal, November 2011

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates journal, February 2012

Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions journal, May 2012

Heat kernel expansion and extremal Kerr-Newmann black hole entropy in Einstein-Maxwell theory journal, August 2012

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions journal, April 2013

Microscopic and macroscopic entropy of extremal black holes in string theory journal, April 2014

Gravitation, gauge theories and differential geometry journal, December 1980

Quantum Fields in Curved Space book, January 2012

Heat kernel expansion: user's manual journal, December 2003

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

Symmetric tensor spherical harmonics on the N ‐sphere and their application to the de Sitter group SO( N ,1) journal, July 1987

Lowest eigenvalues of the energy operator for totally (anti)symmetric massless fields of the n-dimensional anti-de Sitter group journal, November 1994

Quantum gravity at large distances and the cosmological constant journal, November 1990

The effective action in gauged supergravity on hyperbolic background and induced cosmological constant journal, September 1994

Gauge internal symmetry in extended supergravity journal, March 1977

Extended supergravity with local SO(5) invariance journal, September 1981

Energy-momentum tensors, supercurrents, (super)traces, and quantum equivalence journal, December 1984

Geometric classification of conformal anomalies in arbitrary dimensions journal, July 1993

Nondecoupling of Maximal Supergravity from the Superstring journal, July 2007

A one-loop test of quantum supergravity journal, November 2013

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

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

The Plancherel measure for p-forms in real hyperbolic spaces journal, December 1994

Stability in gauged extended supergravity journal, December 1982

Non-local Effects of Conformal Anomaly journal, March 2018

Non-Renormalization For Non-Supersymmetric Black Holes text, January 2017

A One-loop Test of Quantum Black Holes in Anti de Sitter Space text, January 2017

SURPRISING SIMPLICITY OF $\mathcal{N}=8$ SUPERGRAVITY
journal, December 2009

5 loops in 24/5 dimensions
journal, August 2010

Axial and conformal anomalies for arbitrary spin in gravity and supergravity
journal, July 1978

New gravitational index theorems and super theorems
journal, July 1979

Quantizing gravity with a cosmological constant
journal, December 1980

Worldline approach to vector and antisymmetric tensor fields
journal, April 2005

Worldline approach to vector and antisymmetric tensor fields II
journal, October 2005

Hidden ghosts
journal, June 1980

Quantum inequivalence of different field representations
journal, July 1980

Quantum equivalence of different field representations
journal, July 1981

One-loop effects on the round seven-sphere
journal, August 1984

Vanishing quantum vacuum energy in eleven-dimensional supergravity on the round seven-sphere
journal, August 1984

Quantum equivalence of dual field theories
journal, June 1985

The Large-N Limit of Superconformal Field Theories and Supergravity
journal, January 1999

The Boundary Weyl Anomaly in the = 4 SYM/Type IIB Supergravity Correspondence
journal, January 2004

One loop tests of higher spin AdS/CFT
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Logarithmic corrections to extremal black hole entropy from quantum entropy function
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Logarithmic corrections to $$ \mathcal{N} = {4} $$ and $$ \mathcal{N} = {8} $$ black hole entropy: a one loop test of quantum gravity
journal, November 2011

Logarithmic corrections to $${\mathcal{N} = 2}$$ black hole entropy: an infrared window into the microstates
journal, February 2012

Logarithmic corrections to rotating extremal black hole entropy in four and five dimensions
journal, May 2012

Heat kernel expansion and extremal Kerr-Newmann black hole entropy in Einstein-Maxwell theory
journal, August 2012

Logarithmic corrections to Schwarzschild and other non-extremal black hole entropy in different dimensions
journal, April 2013

Microscopic and macroscopic entropy of extremal black holes in string theory
journal, April 2014

Gravitation, gauge theories and differential geometry
journal, December 1980

Quantum Fields in Curved Space
book, January 2012

Heat kernel expansion: user's manual
journal, December 2003

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

Symmetric tensor spherical harmonics on the N ‐sphere and their application to the de Sitter group SO( N ,1)
journal, July 1987

Lowest eigenvalues of the energy operator for totally (anti)symmetric massless fields of the n-dimensional anti-de Sitter group
journal, November 1994

Quantum gravity at large distances and the cosmological constant
journal, November 1990

The effective action in gauged supergravity on hyperbolic background and induced cosmological constant
journal, September 1994

Gauge internal symmetry in extended supergravity
journal, March 1977

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journal, September 1981

Energy-momentum tensors, supercurrents, (super)traces, and quantum equivalence
journal, December 1984

Geometric classification of conformal anomalies in arbitrary dimensions
journal, July 1993

Nondecoupling of Maximal Supergravity from the Superstring
journal, July 2007

A one-loop test of quantum supergravity
journal, November 2013

Exact results in ABJM theory from topological strings
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journal, August 2011

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journal, December 1994

Stability in gauged extended supergravity
journal, December 1982

Non-local Effects of Conformal Anomaly
journal, March 2018

Non-Renormalization For Non-Supersymmetric Black Holes
text, January 2017

A One-loop Test of Quantum Black Holes in Anti de Sitter Space
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