Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2007-04-13
JHEP 0706:025,2007
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, harvmac; minor typos corrected and reference added, typos fixed
Scientific paper
10.1088/1126-6708/2007/06/025
We construct smooth asymptotically AdS_5xS^5 solutions of Type IIB supergravity corresponding to all the half-BPS surface operators in N=4 SYM. All the parameters labeling a half-BPS surface operator are identified in the corresponding bubbling geometry. We use the supergravity description of surface operators to study the action of the SL(2,Z) duality group of N=4 SYM on the parameters of the surface operator, and find that it coincides with the recent proposal by Gukov and Witten in the framework of the gauge theory approach to the geometrical Langlands with ramification. We also show that whenever a bubbling geometry becomes singular that the path integral description of the corresponding surface operator also becomes singular.
Gomis Jaume
Matsuura Shunji
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