Holographic Gauge Theories in Background Fields and Surface Operators

Understand

We construct a new class of supersymmetric surface operators in N=4 SYM and find the corresponding dual supergravity solutions.

• We show that the insertion of the surface operator - which is given by a WZW model supported on the surface - appears by integrating out the localized degrees of freedom along the surface which arise microscopically from a D3/D7 brane intersection.
• Consistency requires constructing N=4 SYM in the D7 supergravity background and not in flat space.
• This enlarges the class of holographic gauge theories dual to string theory backgrounds to gauge theories in non-trivial supergravity backgrounds.