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$\mathcal{I}$/$c$-Extremization in M/F-Duality
by Marieke van Beest, Sebastjan Cizel, Sakura Schafer-Nameki, James Sparks
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Sebastjan Cizel |
| Submission information | |
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| Preprint Link: | scipost_202008_00007v1 (pdf) |
| Date accepted: | Aug. 25, 2020 |
| Date submitted: | Aug. 14, 2020, 2:02 p.m. |
| Submitted by: | Sebastjan Cizel |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
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.
List of changes
Added footnote 7 on page 23 addressing the potential interpretation of $N_0$ as a momentum.
Published as SciPost Phys. 9, 029 (2020)