Operator product expansion of higher rank Wilson loops from D-branes and matrix models

@article{Giombi2006OperatorPE,
  title={Operator product expansion of higher rank Wilson loops from D-branes and matrix models},
  author={Simone Giombi and Riccardo Ricci and Diego Trancanelli},
  journal={arXiv: High Energy Physics - Theory},
  year={2006}
}
In this paper we study correlation functions of circular Wilson loops in higher dimensional representations with chiral primary operators of N=4 super Yang-Mills theory. This is done using the recently established relation between higher rank Wilson loops in gauge theory and D-branes with electric fluxes in supergravity. We verify our results with a matrix model computation, finding perfect agreement in both the symmetric and the antisymmetric case. 

Operator product expansion of Wilson surfaces from M5-branes

The operator product expansion (OPE) of the Wilson surface operators in six-dimensional (2, 0) superconformal field theory is studied from AdS/CFT correspondence in this paper. We compute the OPE

Antisymmetric Wilson loops in N = 4 SYM beyond the planar limit

: We study the 12 -BPS circular Wilson loop in the totally antisymmetric representation of the gauge group in N = 4 supersymmetric Yang-Mills. This observable is captured by a Gaussian matrix model

Wilson loops and its correlators with chiral operators in N = 2 ; 4 SCFT at large N

: In this paper we compute the vacuum expectation value of the Wilson loop and its correlators with chiral primary operators in N = 2 ; 4 superconformal U( N ) gauge theories at large N . After

Wilson Loops as D 3-Branes

Abstract We prove that the half-BPS Wilson loop operator of N = 4 SYM in a symmetric representation of the gauge group has a bulk gravitational description in terms of a single D3-brane in AdS5×S, as

Semi-classical open string corrections and symmetric Wilson loops

In the AdS/CFT correspondence, an AdS2 × S2 D3-brane with electric flux in AdS5 × S5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N = 4

Wilson Loops as D3-Branes

We prove that the half-BPS Wilson loop operator of N=4 SYM in a symmetric representation of the gauge group has a bulk gravitational description in terms of a single D3-brane in AdS_5xS^5, as argued

Holographic Wilson loops

We show that all half-BPS Wilson loop operators in = 4 SYM – which are labeled by Young tableaus – have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes

Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM

We study the correlators of a recently discovered family of BPS Wilson loops in = 4 supersymmetric U(N) Yang-Mills theory. When the contours lie on a two-sphere in the space-time, we propose a closed

Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections

: We consider the vacuum expectation values of 1 = 2-BPS circular Wilson loops in N = 4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U( N ) or SU( N ).
...

References

SHOWING 1-10 OF 41 REFERENCES

Higher rank Wilson loops from a matrix model

We compute the circular Wilson loop of = 4 SYM theory at large N in the rank k symmetric and antisymmetric tensor representations. Using a quadratic Hermitian matrix model we obtain expressions for

Wilson Loops of Anti-symmetric Representation and D5-branes

We use a D5-brane with electric flux in AdS_5 x S^5 background to calculate the circular Wilson loop of anti-symmetric representation in N=4 super Yang-Mills theory in 4 dimensions. The result agrees

Wilson loops in SYM theory: From weak to strong coupling

1/2-BPS Wilson-'t Hooft loops

We investigate the 1/2-BPS Wilson-'t Hooft loops in N=4 super-Yang-Mills theory. We use the bulk D-brane with both electric and magnetic charges to calculate the all-genus contribution of the

Holographic Wilson loops

We show that all half-BPS Wilson loop operators in = 4 SYM – which are labeled by Young tableaus – have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes

More exact predictions of SUSYM for string theory

All-genus calculation of Wilson loops using D-branes

The standard prescription for calculating a Wilson loop in the AdS/CFT correspondence is by a string world-sheet ending along the loop at the boundary of AdS. For a multiply wrapped Wilson loop this

BUBBLING GEOMETRIES FOR HALF-BPS WILSON LINES

We consider the supergravity backgrounds that correspond to supersymmetric Wilson line operators in the context of AdS/CFT correspondence. We study the gravitino and dilatino conditions of the IIB