RT Journal Article T1 Unimodular gravity and the gauge/gravity duality A1 Anero, Jesús A1 Pérez Martín, Carmelo AB Unimodular gravity can be formulated so that transverse diffeomorphisms and Weyl transformations are symmetries of the theory. For this formulation of unimodular gravity, we work out the two-point and threepoint h mu nu contributions to the on shell classical gravity action in the leading approximation and for an Euclidean anti de Sitter background. We conclude that these contributions do not agree with those obtained by using general relativity due to IR divergent contact terms. The subtraction of these IR divergent terms yields the same IR finite result for both unimodular gravity and general relativity. Equivalence between unimodular gravity and general relativity with regard to the gauge/gravity duality thus emerges in a nontrivial way. PB Amer Physical Soc SN 2470-0010 YR 2023 FD 2023-02-03 LK https://hdl.handle.net/20.500.14352/73123 UL https://hdl.handle.net/20.500.14352/73123 LA eng NO © 2023 Amer Physical SocACKNOWLEDGMENTS We thank E. Álvarez for continuous and illuminating discussions. The work by C. P. Martin has been financially supported in part by the Spanish MICINN through Grant No. PGC2018-095382-B-I00 NO Ministerio de Ciencia e Innovación (MICINN) DS Docta Complutense RD 21 abr 2025