2025 : 9 : 29
Mohammad  Naghdi

Mohammad Naghdi

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

Research

Title
Higgs-like (pseudo)Scalars in AdS_4, Marginal and Irrelevant Deformations in CFT_3 and Instantons on S^3
Type
JournalPaper
Keywords
Higgs-like (pseudo)Scalars, AdS_4 Space,CFT_3,Marginal Deformations,Exact Solutions
Year
2024
Journal CHINESE PHYSICS C
DOI
Researchers Mohammad Naghdi

Abstract

With a 4-form ansatz of 11-dimensional supergravity over non-dynamical AdS4×S7/Zk background, with the internal space as a S1 Hopf fibration on CP3, we get a consistent truncation. The (pseudo)scalars, in the resulting scalar equations in Euclidean AdS_4 space, may be viewed as arising from (anti)M-branes wrapping around internal directions in the (Wick-rotated) skew-whiffed M2-branes background (as the resulting theory is for anti-M2-branes) and so, realizing the modes after swapping the three fundamental representations 8s,8c,8v of SO(8). Taking the backreaction on the external and internal spaces, we get massless and massive modes, corresponding to exactly marginal and marginally irrelevant deformations on the boundary CFT3, and write a closed solution for the bulk equation and compute its correction to the background action. Next, considering the Higgs-like (breathing) mode m2=18, having all supersymmetries, parity and scale-invariance broken, by solving the associated bulk equation with mathematical methods, especially the Adomian decomposition method, and analyzing the behavior near the boundary of the solutions, we realize the boundary duals in SU(4) x U(1)-singlet sectors of the ABJM model. Then, introducing new dual deformation Δ+ = 3, 6 operators made of bi-fundamental scalars, fermions and U(1) gauge fields, we obtain SO(4)-invariant solutions as small instantons on a three-sphere with radius at infinity, which actually correspond to collapsing bulk bubbles leading to big-crunch singularities.