Gapped phases dual to massless RG flows in 2D CFTs exhibit unusual ordering via spontaneous breaking of non-group-like symmetries and are characterized using smeared boundary CFTs applied to smeared Ishibashi states.
In the above strategy, the matching condition of AGQD for preserved symmetryA ub plays a role in re- stricting the possible form of massless RG flow (as a ring homomorphism)
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Characterizing bulk properties of gapped phases by smeared boundary conformal field theories: Role of duality in unusual ordering
Gapped phases dual to massless RG flows in 2D CFTs exhibit unusual ordering via spontaneous breaking of non-group-like symmetries and are characterized using smeared boundary CFTs applied to smeared Ishibashi states.