Euclidean Wilson loops and minimal area surfaces in lorentzian AdS 3

Wilson Loops and Minimal Surfaces

The AdS/CFT correspondence suggests that the Wilson loop of the large N gauge theory with N = 4 supersymmetry in 4 dimensions is described by a minimal surface in AdS5 × S5. We examine various aspects of this proposal, comparing gauge theory expectations with computations of minimal surfaces. There is a distinguished class of loops, which we call BPS loops, whose expectation values are free fro...

Wilson Loops in 3 d QFT from D - branes in AdS 4 × CP 3

We study the Wilson loops in the three dimensional QFT from the D-branes in the AdS4× CP3 geometry. We find out explicit D-brane configurations in the bulk which correspond to both straight and circular Wilson lines extended to the boundary of AdS4. We analyze critically the role of boundary contributions to the D2-branes with various topology and fundamental string actions.

Characterizations of Slant Ruled Surfaces in the Euclidean 3-space

In this study, we give the relationships between the conical curvatures of ruled surfaces generated by the unit vectors of the ruling, central normal and central tangent of a ruled surface in the Euclidean 3-space E^3. We obtain differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give the conditions for the surfaces generate...

Minimal Surfaces in Euclidean Space

Calibrated Surfaces and Supersymmetric Wilson Loops

We study the dual gravity description of supersymmetric Wilson loops whose expectation value is unity. They are described by calibrated surfaces that end on the boundary of anti de-Sitter space and are pseudo-holomorphic with respect to an almost complex structure on an eight-dimensional slice of AdS5 × S. The regularized area of these surfaces vanishes, in agreement with field theory non-renor...