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

• Main Authors: Adolfo Guarino, Javier Tarrío, Oscar Varela
• Format: Article
• Language: English
• Published: SpringerOpen 2020-03-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Supergravity Models
• Online Access: http://link.springer.com/article/10.1007/JHEP03(2020)100

Abstract 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 N $$ \mathcal{N} $$ = 3 supersymmetry and SU(2) flavour symmetry. The ultraviolet fixed point is again described by a CFT with either N $$ \mathcal{N} $$ = 2 and SU(3) symmetry or N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 2 CFT into the N $$ \mathcal{N} $$ = 3 CFT at low energies is described in detail.