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Massive (pesudo) scalars in AdS4, SO(4) invariant solutions and holography

  • M. NaghdiEmail author
Regular Article

Abstract.

We include a new 7-form ansatz in 11-dimensional supergravity over \(AdS_{4}\times S^{7}/Z_{k}\) when the internal space is considered as a U(1) bundle on CP3. After a general analysis of the ansatz, we take a special form of it and obtain a scalar equation from which we focus on a few massive bulk modes that are \(SU(4)\times U(1)\) R-singlet and break all supersymmetries. The mass term breaks the scale invariance and so the (perturbative) solutions we obtain are \(SO(4)\) invariant in Euclidean \(AdS_{4}\) (or SO(3, 1) in its dS3 slicing). The corresponding bare operators are irrelevant in probe approximation; and to realize the \(AdS_{4}/CFT_{3}\) correspondence, we need to swap the fundamental representations of SO(8) for supercharges with those for scalars and fermions. In fact, we have domain-walls arising from (anti)M5-branes wrapping around \(S^{3}/Z_{k}\) of the internal space with parity-breaking scheme. As a result, the duals may be in three-dimensional U(N) or O(N) Chern-Simon models with matters in fundamental representations. Accordingly, we present dual boundary operators and build instanton solutions in a truncated version of the boundary ABJM action; and, because of the unboundedness of bulk potential from below, it is thought that they lead to big crunch singularities in the bulk.

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Copyright information

© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of Physics, Faculty of Basic SciencesUniversity of IlamIlamIran

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