Abstract
Solutions describing holographic surface defects in $D=5,N=4$ gauged supergravity theories are constructed. It is shown that a surface defect solution in pure Romans' gauged supergravity is singular. Adding a single vector multiplet allows for the construction of a non-singular solution. The on-shell action and one point functions of operators in the presence of the defect are computed using holographic renormalization.
Highlights
Holography is a powerful tool for studying quantum field theories
In theories with holographic duals, there are two methods leading to the construction of the duals of p-dimensional defect operators in d-dimensional conformal field theory (CFT)
We investigated solutions of D 1⁄4 5, N 1⁄4 4 gauged supergravity that are holographic duals of half-BPS conformal surface defects in a N 1⁄4 2 SCFT
Summary
Holography is a powerful tool for studying quantum field theories. Using holography, extended defect operators such as Wilson lines, surface operators, and domain walls can be studied. There are large classes of d 1⁄4 4, N 1⁄4 2 SCFTs and several constructions of holographic duals (see e.g., [8,16,17]) These supergravity solutions are considerably more complicated than the AdS5 × S5 dual of N 1⁄4 4 SYM. Instead of considering the full 10- or 11-dimensional theory, it is simpler to consider a lower dimensional gauged supergravity and construct defect solutions there. We study D 1⁄4 5, N 1⁄4 4 gauged supergravity solutions which are dual to surface defects in the N 1⁄4 2 SCFTs. The structure of the paper is as follows: In Sec. II, we briefly review the pure D 1⁄4 5, N 1⁄4 4 gauged supergravity of Romans. The bosonic and fermionic supersymmetries combine into the superalgebra SUð2; 2j2Þ which is the superconformal algebra of d 1⁄4 4, N 1⁄4 2 SCFTs
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