BibTex format
@article{Genolini:2024:10.1007/jhep02(2024)015,
author = {Genolini, PB and Gauntlett, JP and Sparks, J},
doi = {10.1007/jhep02(2024)015},
journal = {The Journal of High Energy Physics},
title = {Equivariant localization for AdS/CFT},
url = {http://dx.doi.org/10.1007/jhep02(2024)015},
volume = {2024},
year = {2024}
}
RIS format (EndNote, RefMan)
TY - JOUR
AB - We explain how equivariant localization may be applied to AdS/CFT to compute various BPS observables in gravity, such as central charges and conformal dimensions of chiral primary operators, without solving the supergravity equations. The key ingredient is that supersymmetric AdS solutions with an R-symmetry are equipped with a set of equivariantly closed forms. These may in turn be used to impose flux quantization and compute observables for supergravity solutions, using only topological information and the Berline-Vergne-Atiyah-Bott fixed point formula. We illustrate the formalism by considering AdS5 × M6 and AdS3 × M8 solutions of D = 11 supergravity. As well as recovering results for many classes of well-known supergravity solutions, without using any knowledge of their explicit form, we also compute central charges for which explicit supergravity solutions have not been constructed.
AU - Genolini,PB
AU - Gauntlett,JP
AU - Sparks,J
DO - 10.1007/jhep02(2024)015
PY - 2024///
SN - 1029-8479
TI - Equivariant localization for AdS/CFT
T2 - The Journal of High Energy Physics
UR - http://dx.doi.org/10.1007/jhep02(2024)015
UR - http://hdl.handle.net/10044/1/110396
VL - 2024
ER -