Betti multiplets, flows across dimensions and c-extremization

Amariti, Antonio; Toldo, Chiara

doi:10.1007/JHEP07(2017)040

Title: Betti multiplets, flows across dimensions and c-extremization

Journal Article · Mon Jul 10 00:00:00 EDT 2017 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP07(2017)040· OSTI ID:1424743

Amariti, Antonio ^[1]; Toldo, Chiara ^[2]

City Univ. (CUNY), NY (United States). Physics Department; University of Bern (Switzerland). Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics
Columbia Univ., New York, NY (United States)

We consider 4d N = 1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N = (0; 2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c_2d, similarly to the 4d picture, where the exact R-current maximizes the central charge a_4d. There are global currents that do not mix with the R-current in 4d but their mixing becomes non trivial in 2d. In this paper we study the holographic dual of this process by analyzing a 5d N = 2 truncation of T^1,1 with one Betti vector multiplet, dual to the baryonic current on the CFT side. The holographic realization of the flow across dimensions connects AdS₅ to AdS₃ vacua in the supergravity picture. We verify the existence of the flow to AdS₃ solutions and we retrieve the field theory results for the mixing of the Betti vector with the graviphoton. Moreover, we extract the central charge from the Brown-Henneaux formula, matching with the results obtained in field theory. We develop a general formalism to obtain the central charge of a 2d SCFT from 5d N = 2 gauged supergravity with a generic number of vector multiplets, showing that its extremization corresponds to an attractor mechanism for the scalars in the supergravity picture.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0011941

OSTI ID:: 1424743

Journal Information:: Journal of High Energy Physics (Online), Vol. 2017, Issue 7; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 16 works

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References (74)

A supersymmetric consistent truncation for conifold solutions Cassani, Davide; Faedo, Anton F. Nuclear Physics B, Vol. 843, Issue 2 https://doi.org/10.1016/j.nuclphysb.2010.10.010	journal	February 2011
N = 2 dualities Gaiotto, Davide Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)034	journal	August 2012
AdS ₃ solutions of IIB supergravity from D3-branes Kim, Nakwoo Journal of High Energy Physics, Vol. 2006, Issue 01 https://doi.org/10.1088/1126-6708/2006/01/094	journal	January 2006
R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization Butti, Agostino; Zaffaroni, Alberto Journal of High Energy Physics, Vol. 2005, Issue 11 https://doi.org/10.1088/1126-6708/2005/11/019	journal	November 2005
Supersymmetric vacua in N = 2 supergravity Louis, Jan; Smyth, Paul; Triendl, Hagen Journal of High Energy Physics, Vol. 2012, Issue 8 https://doi.org/10.1007/JHEP08(2012)039	journal	August 2012
Topological reduction of 4D SYM to 2D σ-models Bershadsky, M.; Johansen, A.; Sadov, V. Nuclear Physics B, Vol. 448, Issue 1-2 https://doi.org/10.1016/0550-3213(95)00242-K	journal	August 1995
(0, 2) SCFTs from the Leigh-Strassler fixed point Bobev, Nikolay; Pilch, Krzysztof; Vasilakis, Orestis Journal of High Energy Physics, Vol. 2014, Issue 6 https://doi.org/10.1007/JHEP06(2014)094	journal	June 2014
Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory Leigh, Robert G.; Strassler, Matthew J. Nuclear Physics B, Vol. 447, Issue 1 https://doi.org/10.1016/0550-3213(95)00261-P	journal	July 1995
Gauged locally supersymmetric D=3 nonlinear sigma models de Wit, Bernard; Herger, Ivan; Samtleben, Henning Nuclear Physics B, Vol. 671 https://doi.org/10.1016/j.nuclphysb.2003.08.022	journal	November 2003
Black hole microstates in AdS4 from supersymmetric localization Benini, Francesco; Hristov, Kiril; Zaffaroni, Alberto Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)054	journal	May 2016
Flowing from AdS5 to AdS3 with T 1,1 Donos, Aristomenis; Gauntlett, Jerome P. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)006	journal	August 2014
D-branes and topological field theories Bershadsky, M.; Vafa, C.; Sadov, V. Nuclear Physics B, Vol. 463, Issue 2-3 https://doi.org/10.1016/0550-3213(96)00026-0	journal	March 1996
UV completions for non-critical strings Apruzzi, Fabio; Hassler, Falk; Heckman, Jonathan J. Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)045	journal	July 2016
An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals Benvenuti, Sergio; Franco, Sebastián; Hanany, Amihay Journal of High Energy Physics, Vol. 2005, Issue 06 https://doi.org/10.1088/1126-6708/2005/06/064	journal	June 2005
Supersymmetric consistent truncations of IIB on T 1,1 Bena, Iosif; Giecold, Gregory; Graña, Mariana Journal of High Energy Physics, Vol. 2011, Issue 4 https://doi.org/10.1007/JHEP04(2011)021	journal	April 2011
BPS black holes in AdS 4 from M-theory Halmagyi, Nick; Petrini, Michela; Zaffaroni, Alberto Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)124	journal	August 2013
Gauged supergravity from type IIB string theory on manifolds Buchel, Alex; Liu, James T. Nuclear Physics B, Vol. 771, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2007.03.001	journal	May 2007
The exact superconformal R-symmetry maximizes a Intriligator, Ken; Wecht, Brian Nuclear Physics B, Vol. 667, Issue 1-2 https://doi.org/10.1016/S0550-3213(03)00459-0	journal	September 2003
The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds Martelli, Dario; Sparks, James; Yau, Shing-Tung Communications in Mathematical Physics, Vol. 268, Issue 1 https://doi.org/10.1007/s00220-006-0087-0	journal	August 2006
3D τ RR -minimization in AdS4 gauged supergravity Amariti, Antonio; Gnecchi, Alessandra Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)006	journal	July 2016
Comments on a-maximization from gauged supergravity Szepietowski, Phillip Journal of High Energy Physics, Vol. 2012, Issue 12 https://doi.org/10.1007/JHEP12(2012)018	journal	December 2012
3D supergravity from wrapped D3-branes Karndumri, Parinya; Colgáin, Eoin Ó Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)094	journal	October 2013
Five-dimensional supergravity dual of a-maximization Tachikawa, Yuji Nuclear Physics B, Vol. 733, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.11.010	journal	January 2006
Large N matrix models for 3d N $$ \mathcal{N} $$ = 2 theories: twisted index, free energy and black holes Hosseini, Seyed Morteza; Zaffaroni, Alberto Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)064	journal	August 2016
Emergent quantum near-criticality from baryonic black branes Herzog, Christopher P.; Klebanov, Igor R.; Pufu, Silviu S. Journal of High Energy Physics, Vol. 2010, Issue 3 https://doi.org/10.1007/JHEP03(2010)093	journal	March 2010
3D supergravity from wrapped M5-branes Karndumri, Parinya; Ó Colgáin, Eoin Journal of High Energy Physics, Vol. 2016, Issue 3 https://doi.org/10.1007/JHEP03(2016)188	journal	March 2016
Current correlators and AdS/CFT geometry Barnes, Edwin; Gorbatov, Elie; Intriligator, Ken Nuclear Physics B, Vol. 732, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2005.10.013	journal	January 2006
Superconformal symmetry in the Kaluza-Klein spectrum of warped AdS(3) Schmude, Johannes; Vasilakis, Orestis Journal of High Energy Physics, Vol. 2016, Issue 10 https://doi.org/10.1007/JHEP10(2016)096	journal	October 2016
AdS solutions through transgression Donos, Aristomenis; Gauntlett, Jerome P.; Kim, Nakwoo Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/021	journal	September 2008
All homogeneous N = 2 M-theory truncations with supersymmetric AdS4 vacua Cassani, Davide; Koerber, Paul; Varela, Oscar Journal of High Energy Physics, Vol. 2012, Issue 11 https://doi.org/10.1007/JHEP11(2012)173	journal	November 2012
Holomorphic currents and duality in N = 1 supersymmetric theories Johansen, Andrei Journal of High Energy Physics, Vol. 2003, Issue 12 https://doi.org/10.1088/1126-6708/2003/12/032	journal	December 2003
Two-dimensional SCFTs from D3-branes Benini, Francesco; Bobev, Nikolay; Crichigno, P. Marcos Journal of High Energy Physics, Vol. 2016, Issue 7 https://doi.org/10.1007/JHEP07(2016)020	journal	July 2016
Sasaki-Einstein Metrics on S^2\times S^3 Gauntlett, Jerome P.; Martelli, Dario; Sparks, James Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4 https://doi.org/10.4310/ATMP.2004.v8.n4.a3	journal	January 2004
Higher derivative corrections and central charges from wrapped M5-branes Baggio, Marco; Halmagyi, Nick; Mayerson, Daniel R. Journal of High Energy Physics, Vol. 2014, Issue 12 https://doi.org/10.1007/JHEP12(2014)042	journal	December 2014
N = 2 supergravity in five dimensions revisited Bergshoeff, Eric; Cucu, Sorin; Wit, Tim de Classical and Quantum Gravity, Vol. 21, Issue 12 https://doi.org/10.1088/0264-9381/21/12/013	journal	June 2004
KK spectroscopy of type IIB supergravity on AdS ₅ × T ¹¹ Ceresole, Anna; D'Auria, Riccardo; Dall'Agata, Gianguido Journal of High Energy Physics, Vol. 1999, Issue 11 https://doi.org/10.1088/1126-6708/1999/11/009	journal	November 1999
Two-dimensional SCFTs from wrapped branes and c-extremization Benini, Francesco; Bobev, Nikolay Journal of High Energy Physics, Vol. 2013, Issue 6 https://doi.org/10.1007/JHEP06(2013)005	journal	June 2013
The holographic Weyl anomaly Henningson, M.; Skenderis, K. Journal of High Energy Physics, Vol. 1998, Issue 07 https://doi.org/10.1088/1126-6708/1998/07/023	journal	July 1998
F-theory and 2d (0, 2) theories Schäfer-Nameki, Sakura; Weigand, Timo Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)059	journal	May 2016
Black string first order flow in N = 2, d = 5 abelian gauged supergravity Klemm, Dietmar; Petri, Nicolò; Rabbiosi, Marco Journal of High Energy Physics, Vol. 2017, Issue 1 https://doi.org/10.1007/JHEP01(2017)106	journal	January 2017
Triangle anomalies from Einstein manifolds Benvenuti, Sergio; Pando Zayas, Leopoldo A.; Tachikawa, Yuji Advances in Theoretical and Mathematical Physics, Vol. 10, Issue 3 https://doi.org/10.4310/ATMP.2006.v10.n3.a4	journal	January 2006
General matter coupled , D=5 gauged supergravity Ceresole, Anna; Dall'Agata, Gianguido Nuclear Physics B, Vol. 585, Issue 1-2 https://doi.org/10.1016/S0550-3213(00)00339-4	journal	October 2000
Supergravity Description of Field Theories on Curved Manifolds and a no go Theorem Maldacena, Juan; NuÑEz, Carlos International Journal of Modern Physics A, Vol. 16, Issue 05 https://doi.org/10.1142/S0217751X01003937	journal	February 2001
Large N topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces Hosseini, Seyed Morteza; Mekareeya, Noppadol Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)089	journal	August 2016
Global geometry of the supersymmetric ${AdS}_{3} / {CFT}_{2}$ correspondence in M-theory Figueras, Pau; Mac Conamhna, Oisín A. P.; Ó Colgáin, Eoin Physical Review D, Vol. 76, Issue 4 https://doi.org/10.1103/PhysRevD.76.046007	journal	August 2007
Compactifications of the Klebanov-Witten CFT and new AdS 3 backgrounds Bea, Yago; Edelstein, José D.; Itsios, Georgios Journal of High Energy Physics, Vol. 2015, Issue 5 https://doi.org/10.1007/JHEP05(2015)062	journal	May 2015
New checks and subtleties for AdS/CFT and a-maximization Bertolini, M.; Bigazzi, F.; Cotrone, A. L. Journal of High Energy Physics, Vol. 2004, Issue 12 https://doi.org/10.1088/1126-6708/2004/12/024	journal	December 2004
On $\mathcal{N} = 2$ truncations of IIB on T 1,1 Halmagyi, Nick; Liu, James T.; Szepietowski, Phillip Journal of High Energy Physics, Vol. 2012, Issue 7 https://doi.org/10.1007/JHEP07(2012)098	journal	July 2012
Supergravity dual of $c$ -extremization Karndumri, Parinya; Ó Colgáin, Eoin Physical Review D, Vol. 87, Issue 10 https://doi.org/10.1103/PhysRevD.87.101902	journal	May 2013
Four-dimensional SCFTs from M5-branes Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay Journal of High Energy Physics, Vol. 2012, Issue 6 https://doi.org/10.1007/JHEP06(2012)005	journal	June 2012
UV completions for non-critical strings J., Heckman, Jonathan; Falk, Hassler,; Fabio, Apruzzi, The University of North Carolina at Chapel Hill University Libraries https://doi.org/10.17615/276d-qy75	text	January 2016
Higher Derivative Corrections and Central Charges from Wrapped M5-branes Baggio, Marco; Halmagyi, Nick; Mayerson, Daniel R. ETH Zurich https://doi.org/10.3929/ethz-b-000094413	text	January 2014
AdS Solutions Through Transgression Donos, Aristomenis; Gauntlett, Jerome P.; Kim, Nakwoo arXiv https://doi.org/10.48550/arxiv.0807.4375	text	January 2008
Emergent Quantum Near-Criticality from Baryonic Black Branes Herzog, Christopher P.; Klebanov, Igor R.; Pufu, Silviu S. arXiv https://doi.org/10.48550/arxiv.0911.0400	text	January 2009
Four-Dimensional SCFTs from M5-Branes Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay arXiv https://doi.org/10.48550/arxiv.1203.0303	text	January 2012
Supersymmetric Vacua in N=2 Supergravity Louis, Jan; Smyth, Paul; Triendl, Hagen arXiv https://doi.org/10.48550/arxiv.1204.3893	text	January 2012
Comments on a-maximization from gauged supergravity Szepietowski, Phillip arXiv https://doi.org/10.48550/arxiv.1209.3025	text	January 2012
(0,2) SCFTs from the Leigh-Strassler Fixed Point Bobev, Nikolay; Pilch, Krzysztof; Vasilakis, Orestis arXiv https://doi.org/10.48550/arxiv.1403.7131	text	January 2014
Higher Derivative Corrections and Central Charges from Wrapped M5-branes Baggio, Marco; Halmagyi, Nick; Mayerson, Daniel R. arXiv https://doi.org/10.48550/arxiv.1408.2538	text	January 2014
Compactifications of the Klebanov-Witten CFT and new $AdS_3$ backgrounds Bea, Yago; Edelstein, Jose D.; Itsios, Georgios arXiv https://doi.org/10.48550/arxiv.1503.07527	text	January 2015
A topologically twisted index for three-dimensional supersymmetric theories Benini, Francesco; Zaffaroni, Alberto arXiv https://doi.org/10.48550/arxiv.1504.03698	text	January 2015
Black hole microstates in AdS$_4$ from supersymmetric localization Benini, Francesco; Hristov, Kiril; Zaffaroni, Alberto arXiv https://doi.org/10.48550/arxiv.1511.04085	text	January 2015
Two-dimensional SCFTs from D3-branes Benini, Francesco; Bobev, Nikolay; Crichigno, P. Marcos arXiv https://doi.org/10.48550/arxiv.1511.09462	text	January 2015
UV Completions for Non-Critical Strings Apruzzi, Fabio; Hassler, Falk; Heckman, Jonathan J. arXiv https://doi.org/10.48550/arxiv.1602.04221	text	January 2016
Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces Hosseini, Seyed Morteza; Mekareeya, Noppadol arXiv https://doi.org/10.48550/arxiv.1604.03397	text	January 2016
Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3) Schmude, Johannes; Vasilakis, Orestis arXiv https://doi.org/10.48550/arxiv.1605.00636	text	January 2016
Black string first order flow in N=2, d=5 abelian gauged supergravity Klemm, Dietmar; Petri, Nicolò; Rabbiosi, Marco arXiv https://doi.org/10.48550/arxiv.1610.07367	text	January 2016
Supergravity description of field theories on curved manifolds and a no go theorem Maldacena, Juan; Nunez, Carlos arXiv https://doi.org/10.48550/arxiv.hep-th/0007018	text	January 2000
Gauged locally supersymmetric D=3 nonlinear sigma models de Wit, Bernard; Herger, Ivan; Samtleben, Henning arXiv https://doi.org/10.48550/arxiv.hep-th/0307006	text	January 2003
R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization Butti, Agostino; Zaffaroni, Alberto arXiv https://doi.org/10.48550/arxiv.hep-th/0506232	text	January 2005
Five-dimensional Supergravity Dual of a-Maximization Tachikawa, Yuji arXiv https://doi.org/10.48550/arxiv.hep-th/0507057	text	January 2005
Triangle Anomalies from Einstein Manifolds Benvenuti, Sergio; Zayas, Leopoldo A. Pando; Tachikawa, Yuji arXiv https://doi.org/10.48550/arxiv.hep-th/0601054	text	January 2006
The Holographic Weyl anomaly Henningson, Mans; Skenderis, Kostas arXiv https://doi.org/10.48550/arxiv.hep-th/9806087	text	January 1998
KK Spectroscopy of Type IIB Supergravity on AdS_5 x T^{11} Ceresole, Anna; Dall'Agata, Gianguido; D'Auria, Riccardo arXiv https://doi.org/10.48550/arxiv.hep-th/9907216	text	January 1999

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