dorsal/arxiv
View SchemaIIB an equivariantly localized puncture
| Authors | Christopher Couzens, Alice Lüscher, James Sparks |
|---|---|
| Categories | |
| ArXiv ID | 2601.07598vv1 |
| URL | https://arxiv.org/abs/2601.07598 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
We use equivariant localization to compute various observables for $\mathcal{N}=(2,2)$ preserving AdS$_3$ solutions in type IIB supergravity. Our method for localizing the odd-dimensional internal space is to perform a dimensional reduction along a shrinking circle which introduces a boundary in the remaining even-dimensional spacetime. Canonical even-dimensional localization can then be performed on this space after taking into account contributions from the boundary. We illustrate with a number of supersymmetric solutions. One of the novel aspects of this work is applying these techniques to study punctures and defects using localization. We obtain new results for the central charge of 2d SCFTs arising from compactifying $\mathcal{N}=4$ SYM on a punctured Riemann surface.
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"abstract": "We use equivariant localization to compute various observables for $\\mathcal{N}=(2,2)$ preserving AdS$_3$ solutions in type IIB supergravity. Our method for localizing the odd-dimensional internal space is to perform a dimensional reduction along a shrinking circle which introduces a boundary in the remaining even-dimensional spacetime. Canonical even-dimensional localization can then be performed on this space after taking into account contributions from the boundary. We illustrate with a number of supersymmetric solutions. One of the novel aspects of this work is applying these techniques to study punctures and defects using localization. We obtain new results for the central charge of 2d SCFTs arising from compactifying $\\mathcal{N}=4$ SYM on a punctured Riemann surface.",
"arxiv_id": "2601.07598",
"authors": [
"Christopher Couzens",
"Alice L\u00fcscher",
"James Sparks"
],
"categories": [
"hep-th"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "IIB an equivariantly localized puncture",
"url": "https://arxiv.org/abs/2601.07598",
"version": "v1"
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