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Three-Dimensional CFTs and RG Flow from Squashing M2-Brane Horizon

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arxiv hep-th/9908110 v1 pith:LN355VVU submitted 1999-08-16 hep-th

classification hep-th
keywords fixedflowpointads4conformalcorrespondencegroupmanifold
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Utilizing AdS/CFT correspondence in M-theory, an example of interacting d=3 conformal field theories and renormalization group flow between them is presented. Near-horizon geometry of N coincident M2-branes located on a conical singularity on eight-dimensional hyperk\"ahler manifold or manifold with Spin(7) holonomy is, in large-N limit, AdS4*X7, where X7 is seven-sphere with squashing. Deformation from round $\S_7$ to squashed one is known to lead to spontaneous breaking of N=8 local supersymmetry in gauged AdS4 supergravity to N=1, 0. Via AdS/CFT correspondence, it is interpreted as renormalization group flow from SO(5)*SO(3) symmetric UV fixed point to SO(8) symmetric IR fixed point. Evidences for the interpretation are found both from supergravity scalar potential and existence of interpolating static domain-wall thereof, and from conformal dimensions of relevant chiral primary operator at each fixed point.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Consistent truncations and G$_2$-invariant AdS$_4$ solutions of $D=11$ supergravity

    hep-th 2024-12 conditional novelty 6.0 of 10

    Three new G2-invariant AdS4 vacua of eleven-dimensional supergravity are found numerically, together with explicit uplift formulas and evidence that the G2-invariant sector may be complete.

  2. Squashed 7-spheres, octonions and the swampland

    hep-th 2024-12 conditional novelty 3.0 of 10

    The complete Kaluza-Klein operator spectrum on the squashed S7 in eleven-dimensional supergravity is reviewed, with emphasis on 2-form modes, singletons, and a speculative singleton Higgsing effect relevant to the AdS...

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