Wrapped M5-branes and complex saddle points
Authors
Publication Date
2022-01Journal Title
Journal of High Energy Physics
ISSN
1126-6708
Publisher
Springer Science and Business Media LLC
Volume
2022
Issue
1
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Genolini, P. B. (2022). Wrapped M5-branes and complex saddle points. Journal of High Energy Physics, 2022 (1) https://doi.org/10.1007/jhep01(2022)181
Abstract
<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>We study the effects of the introduction of a <jats:italic>ϑ</jats:italic> term in minimal gauged supergravity in four dimensions. We show why this term is not present in supergravity duals of field theories arising on wrapped <jats:italic>M</jats:italic>2-branes, but is there in the case of <jats:italic>M</jats:italic>5-branes wrapping hyperbolic manifolds Σ<jats:sub>3</jats:sub>, and compute the higher-derivative corrections. Having proved that the on-shell supergravity action of any supersymmetric solution can be expressed in terms of data from the fixed points of a Killing vector, we show that it is proportional to a complex topological invariant of Σ<jats:sub>3</jats:sub>. This is consistent with the characteristics of the dual three-dimensional 𝒩= 2 SCFT predicted by the 3<jats:italic>d</jats:italic>-3<jats:italic>d</jats:italic> correspondence, and we match the large <jats:italic>N</jats:italic> limit of its partition functions in the known cases.</jats:p>
Keywords
Regular Article - Theoretical Physics, AdS-CFT Correspondence, Supergravity Models, Supersymmetry and Duality
Identifiers
jhep01(2022)181, 17673
External DOI: https://doi.org/10.1007/jhep01(2022)181
This record's URL: https://www.repository.cam.ac.uk/handle/1810/336468
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/
Statistics
Total file downloads (since January 2020). For more information on metrics see the
IRUS guide.