<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mtext>AdS</mml:mtext><mml:mn>2</mml:mn></mml:msub></mml:math> near-horizons, defects, and string dualities

Abstract

We construct a new family of ${\mathrm{AdS}}_{2}\ifmmode\times\else\texttimes\fi{}{S}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{2}$ solutions to type IIB supergravity arising as near-horizon geometries of D1-F1-D3-D5-NS5-D7 brane intersections preserving four supersymmetries. We show that a subclass of these solutions asymptotes locally to the ${\mathrm{AdS}}_{6}\ifmmode\times\else\texttimes\fi{}{S}^{2}\ifmmode\times\else\texttimes\fi{}{\mathrm{\ensuremath{\Sigma}}}_{2}$ solution to type IIB supergravity holographically dual to the five-dimensional Sp(N) fixed point theory. This suggests that these solutions can be interpreted as D1-F1-D3 line defects within this CFT. Switching off the D7-branes, we act with $\mathrm{SL}(2,\mathbb{R})$ to construct a second family of solutions that can be related to an ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{S}^{3}\ifmmode\times\else\texttimes\fi{}{S}^{3}$ class of M-theory backgrounds describing surface defects within the six-dimensional (1,0) SCFT dual to ${\mathrm{AdS}}_{7}/{\mathbb{Z}}_{k}\ifmmode\times\else\texttimes\fi{}{S}^{4}$. Finally, using non-Abelian T-duality we construct new classes of ${\mathrm{AdS}}_{2}\ifmmode\times\else\texttimes\fi{}{S}^{2}\ifmmode\times\else\texttimes\fi{}{S}^{2}$ solutions to type IIA supergravity with four supercharges and elaborate on their M-theory origin.

Topics & Concepts