AdS5 solutions from M5-branes on Riemann surface and D6-branes sources

Bah, Ibrahima

doi:10.1007/JHEP09(2015)163

Title: AdS5 solutions from M5-branes on Riemann surface and D6-branes sources

Abstract

Here, we describe the gravity duals of four-dimensional N = 1 superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS 5 factor, generically preserves two U(1)s, with generators (J⁺, J^–), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampère equation. The spectrum of N = 1 punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this system to study a class of punctures where the geometry near the sources corresponds to M-theory description of D6-branes. These carry a natural (p, q) label associated to the circle dual to the killing vector pJ⁺ + qJ^– which shrinks near the source. In the generic case the world volume of the D6-branes is AdS₅ × S² and they locally preserve N = 2 supersymmetry. When p = –q, the shrinking circle is dual to a flavor U(1). The metric in this case is non-degenerate only when there are co-dimension one sources obtained by smearing M5-branes that wrap the AdS₅ factormore »« less

Authors:

Bah, Ibrahima ^[1]

Univ. of Southern California, Los Angeles, CA (United States). Dept. of Physics and Astronomy; CEA/Saclay, Gif-sur-Yvette (France). Institut de Physique Theorique

Publication Date:: Thu Sep 24 00:00:00 EDT 2015

Research Org.:: Univ. of Southern California, Los Angeles, CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1455063

Grant/Contract Number:: SC0011687

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: 2015; Journal Issue: 9; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Brane Dynamics in Gauge Theories; AdS-CFT Correspondence; M-Theory

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                    Bah, Ibrahima. AdS5 solutions from M5-branes on Riemann surface and D6-branes sources.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP09(2015)163.

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                    Bah, Ibrahima. AdS5 solutions from M5-branes on Riemann surface and D6-branes sources.  United States.  https://doi.org/10.1007/JHEP09(2015)163

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                    Bah, Ibrahima. Thu .  
"AdS5 solutions from M5-branes on Riemann surface and D6-branes sources".  United States.  https://doi.org/10.1007/JHEP09(2015)163.  https://www.osti.gov/servlets/purl/1455063.

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@article{osti_1455063,

  title        = {AdS5 solutions from M5-branes on Riemann surface and D6-branes sources},

  author       = {Bah, Ibrahima},

  abstractNote = {Here, we describe the gravity duals of four-dimensional N = 1 superconformal field theories obtained by wrapping M5-branes on a punctured Riemann surface. The internal geometry, normal to the AdS 5 factor, generically preserves two U(1)s, with generators (J+, J–), that are fibered over the Riemann surface. The metric is governed by a single potential that satisfies a version of the Monge-Ampère equation. The spectrum of N = 1 punctures is given by the set of supersymmetric sources of the potential that are localized on the Riemann surface and lead to regular metrics near a puncture. We use this system to study a class of punctures where the geometry near the sources corresponds to M-theory description of D6-branes. These carry a natural (p, q) label associated to the circle dual to the killing vector pJ+ + qJ– which shrinks near the source. In the generic case the world volume of the D6-branes is AdS5 × S2 and they locally preserve N = 2 supersymmetry. When p = –q, the shrinking circle is dual to a flavor U(1). The metric in this case is non-degenerate only when there are co-dimension one sources obtained by smearing M5-branes that wrap the AdS5 factor and the circle dual the superconformal R-symmetry. The D6-branes are extended along the AdS5 and on cups that end on the co-dimension one branes. In the special case when the shrinking circle is dual to the R-symmetry, the D6-branes are extended along the AdS5 and wrap an auxiliary Riemann surface with an arbitrary genus. When the Riemann surface is compact with constant curvature, the system is governed by a Monge-Ampère equation.},

  doi          = {10.1007/JHEP09(2015)163},

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

  number       = 9,

  volume       = 2015,

  place        = {United States},

  year         = {Thu Sep 24 00:00:00 EDT 2015},

  month        = {Thu Sep 24 00:00:00 EDT 2015}

}

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Title: AdS5 solutions from M5-branes on Riemann surface and D6-branes sources

Abstract

Citation Formats

N = 2 dualities journal, August 2012

Brane webs and 1/4-BPS geometries journal, September 2008

Branes and the dynamics of QCD journal, November 1998

Linear quivers and N $$ \mathcal{N} $$ = 1 SCFTs from M5-branes journal, August 2014

New $ \mathcal{N} $ =1 dualities journal, June 2013

New Seiberg dualities from 𝒩 = 2 dualities journal, September 2009

Supersymmetric AdS 5 solutions of M-theory journal, August 2004

Topological quantum field theory journal, September 1988

Generalized Hitchin system, spectral curve and $ \mathcal{N} $ =1 dynamics journal, January 2014

Theories of class S $$ \mathcal{S} $$ and new N $$ \mathcal{N} $$ = 1 SCFTs journal, June 2015

D-branes and topological field theories journal, March 1996

The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points journal, April 2014

M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I journal, April 2014

M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory journal, February 1998

Bubbling AdS space and 1/2 BPS geometries journal, October 2004

Solutions of four-dimensional field theories via M-theory journal, September 1997

Four dimensional superconformal theories from M5 branes journal, January 2015

Sasaki-Einstein Metrics on S^2\times S^3 journal, January 2004

Punctures from probe M5-branes and N $$ \mathcal{N} $$ = 1 superconformal field theories journal, July 2014

The exact superconformal R-symmetry maximizes a journal, September 2003

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

Black p-brane solutions of D=11 supergravity theory journal, February 1992

Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities journal, January 2010

The gravity duals of $ \mathcal{N}=2 $ superconformal field theories journal, October 2012

All AdS7 solutions of type II supergravity journal, April 2014

Strong coupling dynamics of four-dimensional $N = 1$ gauge theories from M-theory fivebrane journal, January 1997

Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes journal, March 2015

Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem journal, February 2001

On the classification of 6D SCFTs and generalized ADE orbifolds journal, May 2014

New $ \mathcal{N}=1 $ superconformal field theories in four dimensions journal, July 2013

$ \mathcal{N} $ =1 geometries via M-theory journal, October 2013

New N = 1 dualities from M5-branes and outer-automorphism twists journal, March 2014

Four-dimensional SCFTs from M5-branes journal, June 2012

Quarter-BPS AdS 5 solutions in M-theory with a T 2 bundle over a Riemann surface journal, August 2013

Einstein-Weyl spaces and SU(∞) Toda fields journal, April 1990

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

All AdS7 solutions of type II supergravity other, January 2014

All AdS7 solutions of type II supergravity text, January 2014

All AdS7 solutions of type II supergravity other, January 2014

Brane webs and 1/4-BPS geometries text, January 2008

New Seiberg Dualities from N=2 Dualities text, January 2009

Four-Dimensional SCFTs from M5-Branes text, January 2012

New N=1 Dualities from M5-branes and Outer-automorphism Twists text, January 2013

On the Classification of 6D SCFTs and Generalized ADE Orbifolds text, January 2013

Supergravity description of field theories on curved manifolds and a no go theorem text, January 2000

Solutions Of Four-Dimensional Field Theories Via M Theory text, January 1997

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

N = 2 dualities
journal, August 2012

Brane webs and 1/4-BPS geometries
journal, September 2008

Branes and the dynamics of QCD
journal, November 1998

Linear quivers and N $$ \mathcal{N} $$ = 1 SCFTs from M5-branes
journal, August 2014

New $ \mathcal{N} $ =1 dualities
journal, June 2013

New Seiberg dualities from 𝒩 = 2 dualities
journal, September 2009

Supersymmetric AdS ₅ solutions of M-theory
journal, August 2004

Topological quantum field theory
journal, September 1988

Generalized Hitchin system, spectral curve and $ \mathcal{N} $ =1 dynamics
journal, January 2014

Theories of class S $$ \mathcal{S} $$ and new N $$ \mathcal{N} $$ = 1 SCFTs
journal, June 2015

D-branes and topological field theories
journal, March 1996

The $ \mathcal{N} $ = 1 superconformal index for class $ \mathcal{S} $ fixed points
journal, April 2014

M5 brane and four dimensional $ \mathcal{N} $ = 1 theories I
journal, April 2014

M theory, type IIA string and 4D N = 1 SUSY SU(NL) ⊗ SU(NR) gauge theory
journal, February 1998

Bubbling AdS space and 1/2 BPS geometries
journal, October 2004

Solutions of four-dimensional field theories via M-theory
journal, September 1997

Four dimensional superconformal theories from M5 branes
journal, January 2015

Sasaki-Einstein Metrics on S^2\times S^3
journal, January 2004

Punctures from probe M5-branes and N $$ \mathcal{N} $$ = 1 superconformal field theories
journal, July 2014

The exact superconformal R-symmetry maximizes a
journal, September 2003

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

Black p-brane solutions of D=11 supergravity theory
journal, February 1992

Sicilian gauge theories and $$ \mathcal{N} $$ = 1 dualities
journal, January 2010

The gravity duals of $ \mathcal{N}=2 $ superconformal field theories
journal, October 2012

All AdS7 solutions of type II supergravity
journal, April 2014

Strong coupling dynamics of four-dimensional $N = 1$ gauge theories from M-theory fivebrane
journal, January 1997

Quiver tails and N = 1 $$ \mathcal{N}=1 $$ SCFTs from M5-branes
journal, March 2015

Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem
journal, February 2001

On the classification of 6D SCFTs and generalized ADE orbifolds
journal, May 2014

New $ \mathcal{N}=1 $ superconformal field theories in four dimensions
journal, July 2013

$ \mathcal{N} $ =1 geometries via M-theory
journal, October 2013

New N = 1 dualities from M5-branes and outer-automorphism twists
journal, March 2014

Four-dimensional SCFTs from M5-branes
journal, June 2012

Quarter-BPS AdS 5 solutions in M-theory with a T 2 bundle over a Riemann surface
journal, August 2013

Einstein-Weyl spaces and SU(∞) Toda fields
journal, April 1990

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

All AdS7 solutions of type II supergravity
other, January 2014

All AdS7 solutions of type II supergravity
text, January 2014

All AdS7 solutions of type II supergravity
other, January 2014

Brane webs and 1/4-BPS geometries
text, January 2008

New Seiberg Dualities from N=2 Dualities
text, January 2009

Four-Dimensional SCFTs from M5-Branes
text, January 2012

New N=1 Dualities from M5-branes and Outer-automorphism Twists
text, January 2013

On the Classification of 6D SCFTs and Generalized ADE Orbifolds
text, January 2013

Supergravity description of field theories on curved manifolds and a no go theorem
text, January 2000

Solutions Of Four-Dimensional Field Theories Via M Theory
text, January 1997

The Large N Limit of Superconformal Field Theories and Supergravity
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