Built on

S. M. Hosseini and A. Zaffaroni, Proving the equivalence of c c -extremization and its gravitational dual for all toric quivers , JHEP 03
Original
1901
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli and J. Sparks, Toric geometry and the dual of ℐ {\cal I} -extremization , JHEP 06
Original
1904
Earlier work this paper cites.
S. M. Hosseini and A. Zaffaroni, Geometry of ℐ \mathcal{I} -extremization and black holes microstates , JHEP 07
Original
1904
Earlier work this paper cites.
Y. Lozano, N. T. Macpherson, C. Nunez and A. Ramirez, AdS 3 solutions in Massive IIA with small 𝒩 = ( 4 , 0 ) \mathcal{N}=(4,0) supersymmetry , JHEP 01
Original
1908
Earlier work this paper cites.
A. Passias and D. Prins, On AdS 3 solutions of Type IIB , 1910.06326
Original
1910
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli and J. Sparks, Fibred GK geometry and supersymmetric A d S AdS solutions , 1910.08078
Original
1910
Earlier work this paper cites.
C. Couzens, 𝒩 = ( 0 , 2 ) \mathcal{N}=(0,2) AdS 3 Solutions of Type IIB and F-theory with Generic Fluxes , 1911.04439
Original
1911
Earlier work this paper cites.
C. Couzens, H. het Lam and K. Mayer, Twisted 𝒩 \mathcal{N} = 1 SCFTs and their AdS 3
Original
1912
Earlier work this paper cites.
A. Castro and W. Song, Comments on AdS(2) Gravity , 1411.1948
Original
1948
Earlier work this paper cites.
J. D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity , Commun. Math. Phys. 104
1986
Earlier work this paper cites.
J. M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M theory , JHEP 12
1997
Earlier work this paper cites.
I. Bah, F. Bonetti, R. Minasian and P. Weck, Anomaly Inflow Methods for SCFT Constructions in Type IIB , 2002.10466
Original
2002
Earlier work this paper cites.
K. A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a , Nucl. Phys. B667
2003
Earlier work this paper cites.
R. Wazir, Arithmetic on elliptic threefolds , Compos. Math. 140
2004
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S 2 × S 3 S^{2}\times S^{3} , Adv. Theor. Math. Phys. 8
2004
Earlier work this paper cites.
J. P. Gauntlett, O. A. P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS(3) solutions of type IIB supergravity , Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
J. P. Gauntlett, O. A. P. Mac Conamhna, T. Mateos and D. Waldram, New supersymmetric AdS(3) solutions , Phys. Rev. D74
2006
Earlier work this paper cites.

Similar

N. Kim, AdS(3) solutions of IIB supergravity from D3-branes , JHEP 01
2006
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D. Martelli, J. Sparks and S.-T. Yau, The Geometric dual of a-maximisation for Toric Sasaki-Einstein manifolds , Commun. Math. Phys. 268
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N. Kim and J.-D. Park, Comments on AdS(2) solutions of D=11 supergravity , JHEP 09
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Cited alongside, same era.
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Then

N. Bobev, M. Bullimore and H.-C. Kim, Supersymmetric Casimir Energy and the Anomaly Polynomial , JHEP 09
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Later among the works it cites.
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2016
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B. Assel and S. Schäfer-Nameki, Six-dimensional origin of 𝒩 = 4 \mathcal{N}=4 SYM with duality defects , JHEP 12
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Later among the works it cites.
F. Benini, N. Bobev and P. M. Crichigno, Two-dimensional SCFTs from D3-branes , JHEP 07
Original
2016
Later among the works it cites.
F. Benini, K. Hristov and A. Zaffaroni, Black hole microstates in AdS 4

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2020

$\mathcal{I}$/$c$-Extremization in M/F-Duality

van Beest, Marieke, Cizel, Sebastjan, Schafer-Nameki, Sakura et al.

Understand

We study the holographic dual to $c$-extremization for 2d $(0,2)$ superconformal field theories (SCFTs) that have an AdS$_3$ dual realized in Type IIB with varying axio-dilaton, i.e.

F-theory.
M/F-duality implies that such AdS$_3$ solutions can be mapped to AdS$_2$ solutions in M-theory, which are holographically dual to superconformal quantum mechanics (SCQM), obtained by dimensional reduction of the 2d SCFTs.
We analyze the corresponding map between holographic $c$-extremization in F-theory and $\mathcal{I}$-extremization in M-theory, where in general the latter receives corrections relative to the F-theory result.

Built on

S. M. Hosseini and A. Zaffaroni, Proving the equivalence of c c -extremization and its gravitational dual for all toric quivers , JHEP 03
Original
1901
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli and J. Sparks, Toric geometry and the dual of ℐ {\cal I} -extremization , JHEP 06
Original
1904
Earlier work this paper cites.
S. M. Hosseini and A. Zaffaroni, Geometry of ℐ \mathcal{I} -extremization and black holes microstates , JHEP 07
Original
1904
Earlier work this paper cites.
Y. Lozano, N. T. Macpherson, C. Nunez and A. Ramirez, AdS 3 solutions in Massive IIA with small 𝒩 = ( 4 , 0 ) \mathcal{N}=(4,0) supersymmetry , JHEP 01
Original
1908
Earlier work this paper cites.
A. Passias and D. Prins, On AdS 3 solutions of Type IIB , 1910.06326
Original
1910
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli and J. Sparks, Fibred GK geometry and supersymmetric A d S AdS solutions , 1910.08078
Original
1910
Earlier work this paper cites.
C. Couzens, 𝒩 = ( 0 , 2 ) \mathcal{N}=(0,2) AdS 3 Solutions of Type IIB and F-theory with Generic Fluxes , 1911.04439
Original
1911
Earlier work this paper cites.
C. Couzens, H. het Lam and K. Mayer, Twisted 𝒩 \mathcal{N} = 1 SCFTs and their AdS 3
Original
1912
Earlier work this paper cites.
A. Castro and W. Song, Comments on AdS(2) Gravity , 1411.1948
Original
1948
Earlier work this paper cites.
J. D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity , Commun. Math. Phys. 104
1986
Earlier work this paper cites.
J. M. Maldacena, A. Strominger and E. Witten, Black hole entropy in M theory , JHEP 12
1997
Earlier work this paper cites.
I. Bah, F. Bonetti, R. Minasian and P. Weck, Anomaly Inflow Methods for SCFT Constructions in Type IIB , 2002.10466
Original
2002
Earlier work this paper cites.
K. A. Intriligator and B. Wecht, The Exact superconformal R symmetry maximizes a , Nucl. Phys. B667
2003
Earlier work this paper cites.
R. Wazir, Arithmetic on elliptic threefolds , Compos. Math. 140
2004
Earlier work this paper cites.
J. P. Gauntlett, D. Martelli, J. Sparks and D. Waldram, Sasaki-Einstein metrics on S 2 × S 3 S^{2}\times S^{3} , Adv. Theor. Math. Phys. 8
2004
Earlier work this paper cites.
J. P. Gauntlett, O. A. P. Mac Conamhna, T. Mateos and D. Waldram, Supersymmetric AdS(3) solutions of type IIB supergravity , Phys. Rev. Lett. 97
2006
Earlier work this paper cites.
J. P. Gauntlett, O. A. P. Mac Conamhna, T. Mateos and D. Waldram, New supersymmetric AdS(3) solutions , Phys. Rev. D74
2006
Earlier work this paper cites.

Similar

N. Kim, AdS(3) solutions of IIB supergravity from D3-branes , JHEP 01
2006
Cited alongside, same era.
D. Martelli, J. Sparks and S.-T. Yau, The Geometric dual of a-maximisation for Toric Sasaki-Einstein manifolds , Commun. Math. Phys. 268
2006
Cited alongside, same era.
N. Kim and J.-D. Park, Comments on AdS(2) solutions of D=11 supergravity , JHEP 09
2006
Cited alongside, same era.
D. Martelli and J. Sparks, Toric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT duals , Commun. Math. Phys. 262
2006
Cited alongside, same era.
J. P. Gauntlett, N. Kim and D. Waldram, Supersymmetric AdS(3), AdS(2) and Bubble Solutions , JHEP 04
2007
Cited alongside, same era.
J. P. Gauntlett and N. Kim, Geometries with Killing Spinors and Supersymmetric AdS Solutions , Commun. Math. Phys. 284