scholarly journals Semiclassical correlation functions of Wilson loops and local vertex operators

2012 ◽  
Vol 862 (3) ◽  
pp. 751-763 ◽  
Author(s):  
Rafael Hernández
Keyword(s):  
Correlation Functions ◽  
Vertex Operators ◽  
Wilson Loops ◽  
Local Vertex

LANDAU LEVELS AND VERTEX OPERATIONS FOR ANYONS

1991 ◽  
Vol 06 (30) ◽  
pp. 2819-2826 ◽  
Author(s):  
GERALD V. DUNNE ◽  
ALBERTO LERDA ◽  
CARLO A. TRUGENBERGER
Keyword(s):  
Magnetic Field ◽  
Angular Momentum ◽  
External Magnetic Field ◽  
String Theory ◽  
Ground State ◽  
Correlation Functions ◽  
Landau Levels ◽  
Vertex Operators ◽  
Many Body

We construct exact many-body eigenstates of both energy and angular momentum for the N-anyon problem in an external magnetic field. We show that such states span the full ground state eigenspace and arise as correlation functions of Fubini-Veneziano vertex operators of string theory.

scholarly journals Correlation functions and vertex operators of Liouville theory

2004 ◽  
Vol 581 (1-2) ◽  
pp. 133-140 ◽  
Author(s):  
George Jorjadze ◽  
Gerhard Weigt
Keyword(s):  
Correlation Functions ◽  
Liouville Theory ◽  
Vertex Operators

scholarly journals Free boson representation ofq-vertex operators and their correlation functions

1993 ◽  
Vol 157 (1) ◽  
pp. 119-137 ◽  
Author(s):  
Akishi Kato ◽  
Yas-Hiro Quano ◽  
Jun'ichi Shiraishi
Keyword(s):  
Correlation Functions ◽  
Vertex Operators ◽  
Free Boson ◽  
Boson Representation

scholarly journals Giant Wilson loops and AdS2/dCFT1

2020 ◽  
Vol 2020 (11) ◽  
Author(s):  
Simone Giombi ◽  
Jiaqi Jiang ◽  
Shota Komatsu
Keyword(s):  
Correlation Functions ◽  
Wilson Loop ◽  
Wilson Loops ◽  
One Dimensional ◽  
Yang Mills ◽  
Large Rank ◽  
Hooft Coupling ◽  
Multiple Integrals ◽  
The Difference ◽  
Selection Of

Abstract The 1/2-BPS Wilson loop in $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory is an important and well-studied example of conformal defect. In particular, much work has been done for the correlation functions of operator insertions on the Wilson loop in the fundamental representation. In this paper, we extend such analyses to Wilson loops in the large-rank symmetric and antisymmetric representations, which correspond to probe D3 and D5 branes with AdS2× S2 and AdS2× S4 worldvolume geometries, ending at the AdS5 boundary along a one-dimensional contour. We first compute the correlation functions of protected scalar insertions from supersymmetric localization, and obtain a representation in terms of multiple integrals that are similar to the eigenvalue integrals of the random matrix, but with important differences. Using ideas from the Fermi Gas formalism and the Clustering method, we evaluate their large N limit exactly as a function of the ’t Hooft coupling. The results are given by simple integrals of polynomials that resemble the Q-functions of the Quantum Spectral Curve, with integration measures depending on the number of insertions. Next, we study the correlation functions of fluctuations on the probe D3 and D5 branes in AdS. We compute a selection of three- and four-point functions from perturbation theory on the D-branes, and show that they agree with the results of localization when restricted to supersymmetric kinematics. We also explain how the difference of the internal geometries of the D3 and D5 branes manifests itself in the localization computation.

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