Equivariant localization for wrapped M5-branes and D4-branes

[摘要] Following the work of [1], we consider six- and seven-dimensional gauged supergravity coupled to a vector multiplet on an ansatz of AdS4,5 × M2, respectively, where M2 is a two-dimensional surface with a Killing vector. We construct equivariantly closed forms from spinor bilinears of Killing spinors. From the integration of equivariantly closed forms via the Berline-Vergne-Atiyah-Bott fixed point formula, we derive the gravitational blocks which were previously conjectured. For the construction of equivariantly closed forms, we formulate six- and seven-dimensional gauged supergravity in the very special geometry.

[发布日期] 2026-09-08

[关键词] AdS-CFT Correspondence;Supergravity Models