$\mathcal{I}$/$c$-extremization in M/F-duality

van Beest, Marieke; Cizel, Sebastjan; Schäfer-Nameki, Sakura; Sparks, James

doi:10.21468/SciPostPhys.9.3.029

SciPost Physics

$\mathcal{I}$/$c$-extremization in M/F-duality

Marieke van Beest, Sebastjan Cizel, Sakura Schäfer-Nameki, James Sparks

SciPost Phys. 9, 029 (2020) · published 1 September 2020

doi: 10.21468/SciPostPhys.9.3.029
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Abstract

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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.9.3.029
TI  - $\mathcal{I}$/$c$-extremization in M/F-duality
PY  - 2020/09/01
UR  - https://www.scipost.org/SciPostPhys.9.3.029
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 9
IS  - 3
SP  - 029
A1  - van Beest, Marieke
AU  - Cizel, Sebastjan
AU  - Schäfer-Nameki, Sakura
AU  - Sparks, James
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.9.3.029,
	title={{$\mathcal{I}$/$c$-extremization in M/F-duality}},
	author={Marieke van Beest and Sebastjan Cizel and Sakura Schäfer-Nameki and James Sparks},
	journal={SciPost Phys.},
	volume={9},
	pages={029},
	year={2020},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.9.3.029},
	url={https://scipost.org/10.21468/SciPostPhys.9.3.029},
}

Cited by 7

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¹ University of Oxford

Funder for the research work leading to this publication

European Research Council [ERC]