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We present a detailed account and extension of our claim in arXiv:1610.01490. We test the gauge/gravity duality between the \( \mathcal{N} \) = 6 mass-deformed ABJM theory with U k (N )×U−k (N ) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)/ℤ k × SO(4)/ℤ k isometry, in the large N limit. Our analysis is based on the evaluation of vacuum ...

We reformulate the Thirring model in D(2 ≤D ≪ 4) dimensions as a gauge theory by introducing U(1) hidden local symmetry (HLS) and study the dynamical mass generation of the fermion through the Schwinger-Dyson (SD) equation. By virtue of such a gauge symmetry we can greatly simplify the analysis of the SD equation by taking the most appropriate gauge (“nonlocal gauge”) for the HLS. ...

We test the holographic relation between the vacuum expectation values of gauge invariant operators in \({\mathcal {N}} = 6\) U\(_k(N)\times \mathrm{U}_{-k}(N)\) mass-deformed ABJM theory and the LLM geometries with \({\mathbb {Z}}_k\) orbifold in 11-dimensional supergravity. To do so, we apply the Kaluza–Klein reduction to construct a 4-dimensional gravity theory and implement the ...