DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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 c2d, similarly to the 4d picture, where the exact R-current maximizes the central charge a4d. 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 T1,1 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 extremizationmore » corresponds to an attractor mechanism for the scalars in the supergravity picture.« less

Authors:
 [1];  [2]
  1. City Univ. (CUNY), NY (United States). Physics Department; University of Bern (Switzerland). Albert Einstein Center for Fundamental Physics, Institute for Theoretical Physics
  2. Columbia Univ., New York, NY (United States)
Publication Date:
Research Org.:
Columbia Univ., New York, NY (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1424743
Grant/Contract Number:  
SC0011941
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: 2017; Journal Issue: 7; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS-CFT Correspondence; Conformal Field Theory; Field Theories in Lower Dimensions; Supergravity Models

Citation Formats

Amariti, Antonio, and Toldo, Chiara. Betti multiplets, flows across dimensions and c-extremization. United States: N. p., 2017. Web. doi:10.1007/JHEP07(2017)040.
Amariti, Antonio, & Toldo, Chiara. Betti multiplets, flows across dimensions and c-extremization. United States. https://doi.org/10.1007/JHEP07(2017)040
Amariti, Antonio, and Toldo, Chiara. Mon . "Betti multiplets, flows across dimensions and c-extremization". United States. https://doi.org/10.1007/JHEP07(2017)040. https://www.osti.gov/servlets/purl/1424743.
@article{osti_1424743,
title = {Betti multiplets, flows across dimensions and c-extremization},
author = {Amariti, Antonio and Toldo, Chiara},
abstractNote = {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 c2d, similarly to the 4d picture, where the exact R-current maximizes the central charge a4d. 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 T1,1 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.},
doi = {10.1007/JHEP07(2017)040},
journal = {Journal of High Energy Physics (Online)},
number = 7,
volume = 2017,
place = {United States},
year = {Mon Jul 10 00:00:00 EDT 2017},
month = {Mon Jul 10 00:00:00 EDT 2017}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

A supersymmetric consistent truncation for conifold solutions
journal, February 2011


N = 2 dualities
journal, August 2012


AdS 3 solutions of IIB supergravity from D3-branes
journal, January 2006


R-charges from toric diagrams and the equivalence of a-maximization and Z-minimization
journal, November 2005


Supersymmetric vacua in N = 2 supergravity
journal, August 2012

  • Louis, Jan; Smyth, Paul; Triendl, Hagen
  • Journal of High Energy Physics, Vol. 2012, Issue 8
  • DOI: 10.1007/JHEP08(2012)039

Topological reduction of 4D SYM to 2D σ-models
journal, August 1995


(0, 2) SCFTs from the Leigh-Strassler fixed point
journal, June 2014

  • Bobev, Nikolay; Pilch, Krzysztof; Vasilakis, Orestis
  • Journal of High Energy Physics, Vol. 2014, Issue 6
  • DOI: 10.1007/JHEP06(2014)094

Exactly marginal operators and duality in four dimensional N = 1 supersymmetric gauge theory
journal, July 1995


Gauged locally supersymmetric D=3 nonlinear sigma models
journal, November 2003


Black hole microstates in AdS4 from supersymmetric localization
journal, May 2016

  • Benini, Francesco; Hristov, Kiril; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)054

Flowing from AdS5 to AdS3 with T 1,1
journal, August 2014

  • Donos, Aristomenis; Gauntlett, Jerome P.
  • Journal of High Energy Physics, Vol. 2014, Issue 8
  • DOI: 10.1007/JHEP08(2014)006

D-branes and topological field theories
journal, March 1996


UV completions for non-critical strings
journal, July 2016

  • Apruzzi, Fabio; Hassler, Falk; Heckman, Jonathan J.
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)045

An infinite family of superconformal quiver gauge theories with Sasaki-Einstein duals
journal, June 2005


Supersymmetric consistent truncations of IIB on T 1,1
journal, April 2011

  • Bena, Iosif; Giecold, Gregory; Graña, Mariana
  • Journal of High Energy Physics, Vol. 2011, Issue 4
  • DOI: 10.1007/JHEP04(2011)021

BPS black holes in AdS 4 from M-theory
journal, August 2013

  • Halmagyi, Nick; Petrini, Michela; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2013, Issue 8
  • DOI: 10.1007/JHEP08(2013)124

Gauged supergravity from type IIB string theory on manifolds
journal, May 2007


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


The Geometric Dual of a–Maximisation for Toric Sasaki–Einstein Manifolds
journal, August 2006

  • Martelli, Dario; Sparks, James; Yau, Shing-Tung
  • Communications in Mathematical Physics, Vol. 268, Issue 1
  • DOI: 10.1007/s00220-006-0087-0

3D τ RR -minimization in AdS4 gauged supergravity
journal, July 2016

  • Amariti, Antonio; Gnecchi, Alessandra
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)006

Comments on a-maximization from gauged supergravity
journal, December 2012


3D supergravity from wrapped D3-branes
journal, October 2013

  • Karndumri, Parinya; Colgáin, Eoin Ó
  • Journal of High Energy Physics, Vol. 2013, Issue 10
  • DOI: 10.1007/JHEP10(2013)094

Five-dimensional supergravity dual of a-maximization
journal, January 2006


Large N matrix models for 3d N $$ \mathcal{N} $$ = 2 theories: twisted index, free energy and black holes
journal, August 2016

  • Hosseini, Seyed Morteza; Zaffaroni, Alberto
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)064

Emergent quantum near-criticality from baryonic black branes
journal, March 2010

  • Herzog, Christopher P.; Klebanov, Igor R.; Pufu, Silviu S.
  • Journal of High Energy Physics, Vol. 2010, Issue 3
  • DOI: 10.1007/JHEP03(2010)093

3D supergravity from wrapped M5-branes
journal, March 2016

  • Karndumri, Parinya; Ó Colgáin, Eoin
  • Journal of High Energy Physics, Vol. 2016, Issue 3
  • DOI: 10.1007/JHEP03(2016)188

Current correlators and AdS/CFT geometry
journal, January 2006


Superconformal symmetry in the Kaluza-Klein spectrum of warped AdS(3)
journal, October 2016

  • Schmude, Johannes; Vasilakis, Orestis
  • Journal of High Energy Physics, Vol. 2016, Issue 10
  • DOI: 10.1007/JHEP10(2016)096

AdS solutions through transgression
journal, September 2008


All homogeneous N = 2 M-theory truncations with supersymmetric AdS4 vacua
journal, November 2012

  • Cassani, Davide; Koerber, Paul; Varela, Oscar
  • Journal of High Energy Physics, Vol. 2012, Issue 11
  • DOI: 10.1007/JHEP11(2012)173

Holomorphic currents and duality in N = 1 supersymmetric theories
journal, December 2003


Two-dimensional SCFTs from D3-branes
journal, July 2016

  • Benini, Francesco; Bobev, Nikolay; Crichigno, P. Marcos
  • Journal of High Energy Physics, Vol. 2016, Issue 7
  • DOI: 10.1007/JHEP07(2016)020

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

  • Gauntlett, Jerome P.; Martelli, Dario; Sparks, James
  • Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
  • DOI: 10.4310/ATMP.2004.v8.n4.a3

Higher derivative corrections and central charges from wrapped M5-branes
journal, December 2014

  • Baggio, Marco; Halmagyi, Nick; Mayerson, Daniel R.
  • Journal of High Energy Physics, Vol. 2014, Issue 12
  • DOI: 10.1007/JHEP12(2014)042

N = 2 supergravity in five dimensions revisited
journal, June 2004


KK spectroscopy of type IIB supergravity on AdS 5 × T 11
journal, November 1999

  • Ceresole, Anna; D'Auria, Riccardo; Dall'Agata, Gianguido
  • Journal of High Energy Physics, Vol. 1999, Issue 11
  • DOI: 10.1088/1126-6708/1999/11/009

Two-dimensional SCFTs from wrapped branes and c-extremization
journal, June 2013

  • Benini, Francesco; Bobev, Nikolay
  • Journal of High Energy Physics, Vol. 2013, Issue 6
  • DOI: 10.1007/JHEP06(2013)005

The holographic Weyl anomaly
journal, July 1998


F-theory and 2d (0, 2) theories
journal, May 2016

  • Schäfer-Nameki, Sakura; Weigand, Timo
  • Journal of High Energy Physics, Vol. 2016, Issue 5
  • DOI: 10.1007/JHEP05(2016)059

Black string first order flow in N = 2, d = 5 abelian gauged supergravity
journal, January 2017

  • Klemm, Dietmar; Petri, Nicolò; Rabbiosi, Marco
  • Journal of High Energy Physics, Vol. 2017, Issue 1
  • DOI: 10.1007/JHEP01(2017)106

Triangle anomalies from Einstein manifolds
journal, January 2006

  • Benvenuti, Sergio; Pando Zayas, Leopoldo A.; Tachikawa, Yuji
  • Advances in Theoretical and Mathematical Physics, Vol. 10, Issue 3
  • DOI: 10.4310/ATMP.2006.v10.n3.a4

General matter coupled , D=5 gauged supergravity
journal, October 2000


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

  • Maldacena, Juan; NuÑEz, Carlos
  • International Journal of Modern Physics A, Vol. 16, Issue 05
  • DOI: 10.1142/S0217751X01003937

Large N topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
journal, August 2016

  • Hosseini, Seyed Morteza; Mekareeya, Noppadol
  • Journal of High Energy Physics, Vol. 2016, Issue 8
  • DOI: 10.1007/JHEP08(2016)089

Global geometry of the supersymmetric AdS 3 / CFT 2 correspondence in M-theory
journal, August 2007

  • Figueras, Pau; Mac Conamhna, Oisín A. P.; Ó Colgáin, Eoin
  • Physical Review D, Vol. 76, Issue 4
  • DOI: 10.1103/PhysRevD.76.046007

Compactifications of the Klebanov-Witten CFT and new AdS 3 backgrounds
journal, May 2015

  • Bea, Yago; Edelstein, José D.; Itsios, Georgios
  • Journal of High Energy Physics, Vol. 2015, Issue 5
  • DOI: 10.1007/JHEP05(2015)062

New checks and subtleties for AdS/CFT and a-maximization
journal, December 2004


On $\mathcal{N} = 2$ truncations of IIB on T 1,1
journal, July 2012

  • Halmagyi, Nick; Liu, James T.; Szepietowski, Phillip
  • Journal of High Energy Physics, Vol. 2012, Issue 7
  • DOI: 10.1007/JHEP07(2012)098

Supergravity dual of c -extremization
journal, May 2013


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

  • Bah, Ibrahima; Beem, Christopher; Bobev, Nikolay
  • Journal of High Energy Physics, Vol. 2012, Issue 6
  • DOI: 10.1007/JHEP06(2012)005

UV completions for non-critical strings
text, January 2016

  • J., Heckman, Jonathan; Falk, Hassler,; Fabio, Apruzzi,
  • The University of North Carolina at Chapel Hill University Libraries
  • DOI: 10.17615/276d-qy75

Higher Derivative Corrections and Central Charges from Wrapped M5-branes
text, January 2014


AdS Solutions Through Transgression
text, January 2008


Emergent Quantum Near-Criticality from Baryonic Black Branes
text, January 2009


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


Supersymmetric Vacua in N=2 Supergravity
text, January 2012


Comments on a-maximization from gauged supergravity
text, January 2012


(0,2) SCFTs from the Leigh-Strassler Fixed Point
text, January 2014


Higher Derivative Corrections and Central Charges from Wrapped M5-branes
text, January 2014


Compactifications of the Klebanov-Witten CFT and new $AdS_3$ backgrounds
text, January 2015


A topologically twisted index for three-dimensional supersymmetric theories
text, January 2015


Black hole microstates in AdS$_4$ from supersymmetric localization
text, January 2015


Two-dimensional SCFTs from D3-branes
text, January 2015


UV Completions for Non-Critical Strings
text, January 2016


Superconformal Symmetry in the Kaluza-Klein Spectrum of Warped AdS(3)
text, January 2016


Black string first order flow in N=2, d=5 abelian gauged supergravity
text, January 2016


Gauged locally supersymmetric D=3 nonlinear sigma models
text, January 2003


Triangle Anomalies from Einstein Manifolds
text, January 2006


The Holographic Weyl anomaly
text, January 1998


KK Spectroscopy of Type IIB Supergravity on AdS_5 x T^{11}
text, January 1999


Works referencing / citing this record:

Supersymmetric $$AdS_5$$ A d S 5 black holes and strings from 5D $$N=4$$ N = 4 gauged supergravity
journal, March 2019


Two-dimensional SCFTs from matter-coupled $$7D~N=2$$ gauged supergravity
journal, August 2019


Topologically twisted indices in five dimensions and holography
text, January 2018


Microstates of rotating AdS$_5$ strings
text, January 2019