arXiv:1708.00612v3 [hep-th] 6 Aug 2018 Holographic Entanglement Negativity for Adjacent Subsystems in AdS d+1 /CFT d Parul Jain ∗ 1,2,3 , Vinay Malvimat † 3 , Sayid Mondal ‡ 3 , and Gautam Sengupta § 3 1 Dipartimento di Fisica, Universit` a di Cagliari, Cittadella Universitaria, 09042 Monserrato, Italy 2 INFN, Sezione di Cagliari,Italy 3 Department of Physics, Indian Institute of Technology, Kanpur, 208016, India August 7, 2018 Abstract We establish our recently proposed holographic entanglement negativity conjecturefor mixed states of adjacent subsystems in conformal field theories with concrete higher dimensional ex- amples. In this context we compute the holographic entanglement negativity for mixed states of adjacent subsystems in d-dimensional conformal field theories dual to bulk AdS d+1 vac- uum and AdS d+1 -Schwarzschild black holes. These representative examples provide strong indication for the universality of our conjecture which affirms significant implications for diverse applications. * E-mail: parul.jain@ca.infn.it † E-mail: vinaymm@iitk.ac.in ‡ E-mail: sayidphy@iitk.ac.in § E-mail: sengupta@iitk.ac.in 1