Abstract
We study the effects of the introduction of a ϑ 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 M2-branes, but is there in the case of M5-branes wrapping hyperbolic manifolds Σ3, 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 Σ3. This is consistent with the characteristics of the dual three-dimensional 𝒩= 2 SCFT predicted by the 3d-3d correspondence, and we match the large N limit of its partition functions in the known cases.
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Genolini, P.B. Wrapped M5-branes and complex saddle points. J. High Energ. Phys. 2022, 181 (2022). https://doi.org/10.1007/JHEP01(2022)181
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DOI: https://doi.org/10.1007/JHEP01(2022)181