Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities

Macpherson, Niall T.; Nunez, Carlos; Zayas, Leopoldo A.  Pando; Rodgers, Vincent G.  J.; Whiting, Catherine A.

doi:10.1007/JHEP02(2015)040

Title: Type IIB supergravity solutions with AdS₅ from Abelian and non-Abelian T dualities

Abstract

Here, we present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS₅ factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS₅ × X ₅ IIB supergravity solutions with X ₅ = S ⁵ , T ^1,1 , Y ^p,q. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.

Authors:

Macpherson, Niall T. ^[1]; Nunez, Carlos ^[2]; Zayas, Leopoldo A. Pando ^[3]; Rodgers, Vincent G. J. ^[4]; Whiting, Catherine A. ^[4]

Swansea Univ. (United Kingdom). School of Physical Sciences; Univ. of Milano-Bicocca, Milan (Italy). Dept. of Physics
Swansea Univ. (United Kingdom). School of Physical Sciences
Univ. of Michigan, Ann Arbor, MI (United States). Michigan Center for Theoretical Physics and Randall Lab. of Physics
Univ. of Iowa, Iowa City, IA (United States). Dept. of Physics and Astronomy

Publication Date:: Fri Feb 06 00:00:00 EST 2015

Research Org.:: Univ. of Michigan, Ann Arbor, MI (United States); Univ. of Iowa, Iowa City, IA (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF); Univ. of Paris-Saclay, Bures-sur-Yvette (France). Inst. of Higher Scientific Studies (IHES)

OSTI Identifier:: 1454569

Grant/Contract Number:: SC0007859; 1067889

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: 2; 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; String Duality

Citation Formats


                    Macpherson, Niall T., Nunez, Carlos, Zayas, Leopoldo A.  Pando, Rodgers, Vincent G.  J., and Whiting, Catherine A. Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities.  United States: N. p., 2015. 
Web.  doi:10.1007/JHEP02(2015)040.

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                    Macpherson, Niall T., Nunez, Carlos, Zayas, Leopoldo A.  Pando, Rodgers, Vincent G.  J., & Whiting, Catherine A. Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities.  United States.  https://doi.org/10.1007/JHEP02(2015)040

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                    Macpherson, Niall T., Nunez, Carlos, Zayas, Leopoldo A.  Pando, Rodgers, Vincent G.  J., and Whiting, Catherine A. Fri .  
"Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities".  United States.  https://doi.org/10.1007/JHEP02(2015)040.  https://www.osti.gov/servlets/purl/1454569.

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@article{osti_1454569,

  title        = {Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities},

  author       = {Macpherson, Niall T. and Nunez, Carlos and Zayas, Leopoldo A.  Pando and Rodgers, Vincent G.  J. and Whiting, Catherine A.},

  abstractNote = {Here, we present a large class of new backgrounds that are solutions of type IIB supergravity with a warped AdS5 factor, non-trivial axion-dilaton, B-field and three-form Ramond-Ramond flux but yet have no five-form flux. We obtain these solutions and many of their variations by judiciously applying non-Abelian and Abelian T-dualities, as well as coordinate shifts to AdS5 × X 5 IIB supergravity solutions with X 5 = S 5 , T 1,1 , Y p,q. We address a number of issues pertaining to charge quantization in the context of non-Abelian T-duality. We comment on some properties of the expected dual super conformal field theories by studying their CFT central charge holographically. We also use the structure of the supergravity Page charges, central charges and some probe branes to infer aspects of the dual super conformal field theories.},

  doi          = {10.1007/JHEP02(2015)040},

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

  number       = 2,

  volume       = 2015,

  place        = {United States},

  year         = {Fri Feb 06 00:00:00 EST 2015},

  month        = {Fri Feb 06 00:00:00 EST 2015}

}

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DOI: 10.1103/physrevd.101.026014

Compactifications of the Klebanov-Witten CFT and new $AdS_3$ backgrounds
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Title: Type IIB supergravity solutions with AdS5 from Abelian and non-Abelian T dualities

Abstract

Citation Formats

Some global aspects of duality in String Theory journal, February 1994

Central Charge of Supersymmetric 5D Anti–de Sitter Space Solutions of Type IIB Supergravity journal, July 2009

Supersymmetry and non-Abelian T-duality in type II supergravity journal, January 2015

On nonabelian duality journal, June 1994

Multiscale confining dynamics from holographic RG flows journal, May 2014

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

Target space duality in string theory journal, August 1994

Gauge theory correlators from non-critical string theory journal, May 1998

A new AdS 4/CFT 3 dual with extended SUSY and a spectral flow journal, November 2014

A search for AdS 5 × S 2 IIB supergravity solutions dual to $ \mathcal{N} = 2 $ SCFTs journal, October 2011

Remarks on non-Abelian duality journal, February 1995

Non-abelian T-duality, generalised geometry and holography journal, March 2014

Quantum equivalence of dual field theories journal, June 1985

A new infinite class of Sasaki-Einstein manifolds journal, January 2004

On the holographic dual of $ \mathcal{N} = 1 $ SQCD with massive flavors journal, October 2011

Entanglement as a probe of confinement journal, June 2008

Anti de Sitter space and holography journal, January 1998

On non-abelian T-dual geometries with Ramond fluxes journal, May 2011

Semiclassical strings and non-Abelian T-duality journal, October 2014

Generalized structures of Script N = 1 vacua journal, November 2005

Large N field theories, string theory and gravity journal, January 2000

Dual representations and ultraviolet divergences in nonlinear σ-models journal, January 1984

Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes journal, March 2011

New type IIB backgrounds and aspects of their field theory duals journal, August 2014

AdS spacetimes from wrapped M5 branes journal, November 2006

Supersymmetric branes on AdS 5 × Y p , q and their field theory duals journal, March 2006

Supersymmetric AdS 6 via T Duality journal, June 2013

New N $$ \mathcal{N} $$ =1 supersymmetric AdS 5 backgrounds in type IIA supergravity journal, November 2014

Exact Solutions of Einstein's Field Equations book, January 2009

Deforming field theories with U(1) × U(1) global symmetry and their gravity duals journal, May 2005

Form factors at strong coupling via a Y-system journal, November 2010

Defects, non-abelian t-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields journal, March 2014

4d $ \mathcal{N} $ = 2 superconformal linear quivers with type IIA duals journal, August 2012

Non-Abelian T-duality, G 2-structure rotation and holographic duals of $ \mathcal{N} $ = 1 Chern-Simons theories journal, November 2013

Non-abelian T-duality and consistent truncations in type-II supergravity journal, August 2012

T-duality, space-time spinors and R–R fields in curved backgrounds journal, February 2000

Toric duality, Seiberg duality and Picard-Lefschetz transformations journal, July 2003

An introduction to T-duality in string theory journal, April 1995

On Type IIA geometries dual to SCFTs journal, August 2011

Non-abelian T-duality, Ramond fields and coset geometries journal, June 2011

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

Backreacting flavors in the Klebanov-Strassler background journal, September 2007

Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities journal, August 2000

New supersymmetric flux vacua with intermediate SU(2) structure journal, August 2008

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

Toric duality as Seiberg duality and brane diamonds journal, December 2001

Localized intersections of M5-branes and four-dimensional superconformal field theories journal, April 1999

Confinement, phase transitions and non-locality in the entanglement entropy journal, June 2014

The warped, resolved, deformed conifold gets flavoured journal, February 2011

Duality symmetries from non-abelian isometries in string theory journal, August 1993

Gravity duals of supersymmetric gauge theories journal, July 2000

Supersymmetric AdS 5 solutions of type IIB supergravity journal, July 2006

On non-abelian duality journal, August 1994

Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism: I. Remnants of duality at the classical level journal, July 1996

The holographic Weyl anomaly journal, July 1998

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

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

A supersymmetric and smooth compactification of M-theory to AdS5 journal, August 2003

Superconformal field theory on threebranes at a Calabi-Yau singularity journal, December 1998

G-structures and flavouring non-abelian T-duality journal, August 2013

Toric duality is Seiberg duality journal, December 2001

A problem with non-abelian duality? journal, December 1993

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

Quantum equivalence of dual field theories: E. S. Fradkin and A. A. Tseytlin. Department of Theoretical Physics, P. N. Lebedev Physical Institute, Leninsky Pr. 53, Moscow 117924, USSR journal, April 1985

Entanglement as a Probe of Confinement text, January 2007

Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes text, January 2011

Non-abelian T-duality, Ramond Fields and Coset Geometries text, January 2011

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

Non-Abelian T-duality and consistent truncations in type-II supergravity text, January 2012

G-structures and Flavouring non-Abelian T-duality text, January 2013

Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields text, January 2013

Semiclassical strings and Non-Abelian T-duality text, January 2014

New ${\cal N} = 1$ supersymmetric $AdS_5$ backgrounds in Type IIA supergravity text, January 2014

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

Toric Duality Is Seiberg Duality text, January 2001

Toric Duality as Seiberg Duality and Brane Diamonds text, January 2001

Title: Type IIB supergravity solutions with AdS₅ from Abelian and non-Abelian T dualities

Some global aspects of duality in String Theory
journal, February 1994

Central Charge of Supersymmetric 5D Anti–de Sitter Space Solutions of Type IIB Supergravity
journal, July 2009

Supersymmetry and non-Abelian T-duality in type II supergravity
journal, January 2015

On nonabelian duality
journal, June 1994

Multiscale confining dynamics from holographic RG flows
journal, May 2014

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

Target space duality in string theory
journal, August 1994

Gauge theory correlators from non-critical string theory
journal, May 1998

A new AdS 4/CFT 3 dual with extended SUSY and a spectral flow
journal, November 2014

A search for AdS 5 × S 2 IIB supergravity solutions dual to $ \mathcal{N} = 2 $ SCFTs
journal, October 2011

Remarks on non-Abelian duality
journal, February 1995

Non-abelian T-duality, generalised geometry and holography
journal, March 2014

Quantum equivalence of dual field theories
journal, June 1985

A new infinite class of Sasaki-Einstein manifolds
journal, January 2004

On the holographic dual of $ \mathcal{N} = 1 $ SQCD with massive flavors
journal, October 2011

Entanglement as a probe of confinement
journal, June 2008

Anti de Sitter space and holography
journal, January 1998

On non-abelian T-dual geometries with Ramond fluxes
journal, May 2011

Semiclassical strings and non-Abelian T-duality
journal, October 2014

Generalized structures of Script N = 1 vacua
journal, November 2005

Large N field theories, string theory and gravity
journal, January 2000

Dual representations and ultraviolet divergences in nonlinear σ-models
journal, January 1984

Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes
journal, March 2011

New type IIB backgrounds and aspects of their field theory duals
journal, August 2014

AdS spacetimes from wrapped M5 branes
journal, November 2006

Supersymmetric branes on AdS ₅ × Y ^{p , q} and their field theory duals
journal, March 2006

Supersymmetric ${AdS}_{6}$ via $T$ Duality
journal, June 2013

New N $$ \mathcal{N} $$ =1 supersymmetric AdS 5 backgrounds in type IIA supergravity
journal, November 2014

Exact Solutions of Einstein's Field Equations
book, January 2009

Deforming field theories with U(1) × U(1) global symmetry and their gravity duals
journal, May 2005

Form factors at strong coupling via a Y-system
journal, November 2010

Defects, non-abelian t-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
journal, March 2014

4d $ \mathcal{N} $ = 2 superconformal linear quivers with type IIA duals
journal, August 2012

Non-Abelian T-duality, G 2-structure rotation and holographic duals of $ \mathcal{N} $ = 1 Chern-Simons theories
journal, November 2013

Non-abelian T-duality and consistent truncations in type-II supergravity
journal, August 2012

T-duality, space-time spinors and R–R fields in curved backgrounds
journal, February 2000

Toric duality, Seiberg duality and Picard-Lefschetz transformations
journal, July 2003

An introduction to T-duality in string theory
journal, April 1995

On Type IIA geometries dual to SCFTs
journal, August 2011

Non-abelian T-duality, Ramond fields and coset geometries
journal, June 2011

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

Backreacting flavors in the Klebanov-Strassler background
journal, September 2007

Supergravity and a confining gauge theory: duality cascades and χSB-resolution of naked singularities
journal, August 2000

New supersymmetric flux vacua with intermediate SU(2) structure
journal, August 2008

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

Toric duality as Seiberg duality and brane diamonds
journal, December 2001

Localized intersections of M5-branes and four-dimensional superconformal field theories
journal, April 1999

Confinement, phase transitions and non-locality in the entanglement entropy
journal, June 2014

The warped, resolved, deformed conifold gets flavoured
journal, February 2011

Duality symmetries from non-abelian isometries in string theory
journal, August 1993

Gravity duals of supersymmetric gauge theories
journal, July 2000

Supersymmetric AdS ₅ solutions of type IIB supergravity
journal, July 2006

On non-abelian duality
journal, August 1994

Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism: I. Remnants of duality at the classical level
journal, July 1996

The holographic Weyl anomaly
journal, July 1998

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

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

A supersymmetric and smooth compactification of M-theory to AdS5
journal, August 2003

Superconformal field theory on threebranes at a Calabi-Yau singularity
journal, December 1998

G-structures and flavouring non-abelian T-duality
journal, August 2013

Toric duality is Seiberg duality
journal, December 2001

A problem with non-abelian duality?
journal, December 1993

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

Quantum equivalence of dual field theories: E. S. Fradkin and A. A. Tseytlin. Department of Theoretical Physics, P. N. Lebedev Physical Institute, Leninsky Pr. 53, Moscow 117924, USSR
journal, April 1985

Entanglement as a Probe of Confinement
text, January 2007

Heating up the Baryonic Branch with U-duality: a unified picture of conifold black holes
text, January 2011

Non-abelian T-duality, Ramond Fields and Coset Geometries
text, January 2011

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

Non-Abelian T-duality and consistent truncations in type-II supergravity
text, January 2012

G-structures and Flavouring non-Abelian T-duality
text, January 2013

Defects, Non-abelian T-duality, and the Fourier-Mukai transform of the Ramond-Ramond fields
text, January 2013

Semiclassical strings and Non-Abelian T-duality
text, January 2014

New ${\cal N} = 1$ supersymmetric $AdS_5$ backgrounds in Type IIA supergravity
text, January 2014

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

Toric Duality Is Seiberg Duality
text, January 2001

Toric Duality as Seiberg Duality and Brane Diamonds
text, January 2001

Toric Duality, Seiberg Duality and Picard-Lefschetz Transformations
text, January 2002

A Supersymmetric and Smooth Compactification of M-theory to AdS(5)
text, January 2003