Abstract
We study a class of dilatation invariant BPS surface
operators in 4-dimensional = 4 Super Yang-Mills theory and their
holographic duals in type IIB string theory in AdS5 × S5.
First we take an example of 1/4 BPS surface operator and study it in
detail from the holographic point of view. The gravity dual of this
surface operator is a D3-brane characterized by a holomorphic
submanifold. The supersymmetry and vacuum expectation value are
checked in both the gauge theory side and the gravity side. We also
calculate the correlation functions with the chiral primary
operators in both sides and find good agreement. Next we consider
more general dilatation invariant BPS surface operators. The gravity
duals of those operators are proposed.
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