Searching for surface defect CFTs within AdS3

Abstract

A bstract We study AdS 3 $$ \times {S}^3/{\mathrm{\mathbb{Z}}}_k\times {\tilde{S}}^3/{\mathrm{\mathbb{Z}}}_{k^{\prime }} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>×</mml:mo> <mml:msup> <mml:mi>S</mml:mi> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>ℤ</mml:mi> <mml:mi>k</mml:mi> </mml:msub> <mml:mo>×</mml:mo> <mml:msup> <mml:mover> <mml:mi>S</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>ℤ</mml:mi> <mml:msup> <mml:mi>k</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:msub> </mml:math> solutions to M-theory preserving $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0 , 4) supersymmetries, arising as near-horizon limits of M2-M5 brane intersections ending on M5’-branes, with both types of five-branes placed on A-type singularities. Solutions in this class asymptote locally to AdS 7 $$ /{\mathrm{\mathbb{Z}}}_k\times {\tilde{S}}^3/{\mathrm{\mathbb{Z}}}_{k^{\prime }} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>ℤ</mml:mi> <mml:mi>k</mml:mi> </mml:msub> <mml:mo>×</mml:mo> <mml:msup> <mml:mover> <mml:mi>S</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> <mml:mn>3</mml:mn> </mml:msup> <mml:mo>/</mml:mo> <mml:msub> <mml:mi>ℤ</mml:mi> <mml:msup> <mml:mi>k</mml:mi> <mml:mo>′</mml:mo> </mml:msup> </mml:msub> </mml:math> , and can thus be interpreted as holographic duals to surface defect CFTs within the $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (1 , 0) 6d CFT dual to this solution. Upon reduction to Type IIA, we obtain a new class of solutions of the form AdS 3 × S 3 /ℤ k × S 2 × Σ 2 preserving (0,4) supersymmetries. We construct explicit 2d quiver CFTs dual to these solutions, describing D2-D4 surface defects embedded within the 6d (1,0) quiver CFT dual to the AdS 7 /ℤ k solution to massless IIA. Finally, in the massive case, we show that the recently constructed AdS 3 × S 2 × CY 2 solutions with $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = (0 , 4) supersymmetries gain a defect interpretation as surface CFTs originating from D2-NS5-D6 defects embedded within the 5d CFT dual to the Brandhuber-Oz AdS 6 background.

Topics & Concepts