1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
By N. Drukker. 2006
159 citations recorded by the source corpus.
The standard prescription for computing Wilson loops in the AdS/CFT correspondence in the large coupling regime and tree-level involves minimizing the string action. In many cases the action has more than one saddle point as in the simple example studied in this paper, where there are two 1/4 BPS string solutions, one a minimum and the other not. Like in the case of the regular circular loop the perturbative expansion seems to be captured by a free matrix model. This gives enough analytic control to extrapolate from weak to strong coupling and find both saddle points in the asymptotic expansion of the matrix model. The calculation also suggests a new BMN-like limit for nearly BPS Wilson loop operators.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/c000d9b52e4716cbe2fdc739ef9b0dee42a994ce
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In Nuclear and High Energy Physics
- N. Drukker
- Marcos Mariño
- Pavel Putrov
- S. Giombi
- Sanefumi Moriyama
- Diego Trancanelli
- Yasuyuki Hatsuda
- R. Ricci
Citations in the corpus
- From Weak to Strong Coupling in ABJM Theory (2010, background): “32) has a single instanton correction which can be explicitly identified with a second saddle point solution in AdS5 × S5 [48,54].”
- Supersymmetric Wilson loops on S**3. (2007, background): “These results agree with string calculations including an infinite series of corrections in 1/N [12–14](1) as well as some proposed string calculations valid to all orders in 1/ √ g(2) YMN [24].”
- More supersymmetric Wilson loops (2007, methodology): “This is essentially the same Wilson loop operator considered in [14, 10], except that by a conformal transformation we moved the circle from the equator to a parallel(2).”