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Mohammad  Naghdi

Mohammad Naghdi

Academic rank: Assistant Professor
ORCID: 0000-0002-8317-5281
Education: PhD.
ScopusId: 57190397424
HIndex: 0/00
Faculty: Basic Science
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Research

Title
Dual Localized Objects From M-Branes Over AdS_4 x S^7/Z_k
Type
JournalPaper
Keywords
11-dimensional supergravity ,multi-trace deformation ,conformally coupled pseudoscalar
Year
2015
Journal CLASSICAL AND QUANTUM GRAVITY
DOI
Researchers Mohammad Naghdi

Abstract

We consider a few ansatzs for the four and seven forms of 11-dimensional supergravity over AdS_4 x S^7/Z_k while try to keep the geometry unchanged. From the 4-form equations, we arrive at some massless scalars and pseudoscalars in the bulk of Euclidean AdS_4 that match with some boundary Δ+=3 operators. Indeed, the main objects are instantons and domain walls as the fully and partially localized objects in the external space, respectively. The latter comes from an (anti)M5-brane wrapping partly around three internal directions similar to the fuzzy S^3/Z_k solutions. Except for the first solutions of adding some anti-M2-branes∣(M2-branes) to the original M2-branes, the objects backreact on the geometry although small∣(break all supersymmetries and destabilize the vacua). The dual 3-dimensional field theory solutions are got by the skew-whiffing 8_s → 8_v and 8_s → 8_c for the scalars and pseudoscalars respectively, while the gauge fields are used mainly for the k=1,2 cases where the R-symmetry and supersymmetry are enhanced as SU(4) x U(1) → SO(8) and N=6 → N=8 respectively, and also for pseudoscalars. Further, for the pseudoscalars we propose a special boundary deformation, with a fermion field, that is equivalent to a multi-trace deformation already studied for the bulk m^2=-2 conformally coupled pseudoscalar.