Correlators of local operators and 1/8 BPS Wilson loops on S2 from 2d YM and matrix models

By S. Giombi, Vasily Pestun. 2009

133 citations recorded by the source corpus.

We propose that, in $$ \mathcal{N} = 4 $$ Super Yang-Mills theory, correlation functions of certain 1/8 BPS Wilson loops and local operators inserted on a S2 in space-time may be computed in terms of analogous observables in the “zero-instanton” sector of 2d Yang-Mills theory. The Wilson loops are mapped to the standard Wilson loops of the 2d theory, as recently conjectured, while the local operators are mapped to powers of the 2d field strength. We give several perturbative checks of the correspondence, and derive from 2d Yang-Mills a two-matrix model for the correlator of a local operator and a Wilson loop of arbitrary shape. We show that the strong coupling planar limit of the two-matrix model precisely agrees with a string theory calculation in AdS5×S5

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/0e5302aae6abf8dc1794220c3b74ae9d8c8f1bf2

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In Nuclear and High Energy Physics

1. R. Roiban
2. A. Tseytlin
3. S. Frolov
4. G. Arutyunov
5. N. Beisert
6. S. Giombi
7. M. Staudacher
8. L. Alday

Citations in the corpus

• Half-BPS Wilson loop and AdS2/CFT1 (2017, methodology): “x 2;x 3 is the point on S2 where the operator is inserted. This means that the null 6- vector is position-dependent and given by (x) = (x 1;x 2;x 3;i;0;0). These operators are mapped by localization [40,39] to powers of the Hodge dual (i F)J of the 2d YM eld strength, and one can then compute genera”