Flowing to $\mathcal{N}=3$ Chern--Simons-matter theory

Journal of High Energy Physics(2020)

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摘要
New renormalisation group flows of three-dimensional Chern-Simons theories with a single gauge group SU(N ) and adjoint matter are found holographically. These RG flows have an infrared fixed point given by a CFT with $$ \mathcal{N} $$ = 3 supersymmetry and SU(2) flavour symmetry. The ultraviolet fixed point is again described by a CFT with either $$ \mathcal{N} $$ = 2 and SU(3) symmetry or $$ \mathcal{N} $$ = 1 and G2 symmetry. The gauge/gravity duals of these RG flows are constructed as domain-wall solutions of a gauged supergravity model in four dimensions that enjoys an embedding into massive IIA supergravity. A concrete RG flow that brings a mass deformation of the $$ \mathcal{N} $$ = 2 CFT into the $$ \mathcal{N} $$ = 3 CFT at low energies is described in detail.
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关键词
AdS-CFT Correspondence, Supergravity Models
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