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most citedCharacter Expansion Methods for Matrix Models of Dually Weighted Graphs

112 citations · 354 across the 12 of their papers we have counts for

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hep-th2000

The D0-brane metric in N = 2 sigma models

Thomas Wynter

We investigate the physical metric seen by a D0-brane probe in the background geometry of an N=2 sigma model. The metric is evaluated by calculating the Zamolodchikov metric for th…

hep-th1999★ 4 cited

High energy scattering amplitudes in matrix string theory

Thomas Wynter

High energy fixed angle scattering is studied in matrix string theory. The saddle point world sheet configurations, which give the dominant contributions to the string theory ampli…

hep-th1998★ 4 cited

Limits of Matrix Theory in Curved Space

Ph. Brax, T. Wynter

We study curved space versions of matrix string theory taking as a definition of the theory a gauged matrix sigma model. By analyzing the divergent terms in the loop expansion for…

hep-th1998★ 13 cited

Anomalies and large N limits in matrix string theory

Thomas Wynter

We study the loop expansion for the low energy effective action for matrix string theory. For long string configurations we find the result depends on the ordering of limits. Takin…

hep-th1997★ 53 cited

Gauge fields and interactions in matrix string theory

Thomas Wynter

It is shown that all possible N sheeted coverings of the cylinder are contained in type IIA matrix string theory as non-trivial gauge field configurations. Using these gauge field…

hep-th1997★ 65 cited

Complex Matrix Models and Statistics of Branched Coverings of 2D Surfaces

Ivan K. Kostov, Matthias Staudacher, Thomas Wynter

We present a complex matrix gauge model defined on an arbitrary two-dimensional orientable lattice. We rewrite the model's partition function in terms of a sum over representations…

hep-th1996★ 63 cited

Exact Solution of Discrete Two-Dimensional R^2 Gravity

V. A. Kazakov, M. Staudacher, T. Wynter

We exactly solve a special matrix model of dually weighted planar graphs describing pure two-dimensional quantum gravity with an R^2 interaction. It permits us to study the interme…

hep-th1996

Advances in Large N Group Theory and the Solution of Two-Dimensional R^2 Gravity

V. A. Kazakov, M. Staudacher, T. Wynter

We review the recent exact solution of a matrix model which interpolates between flat and random lattices. The importance of the results is twofold: Firstly, we have developed a ne…

hep-th1995★ 29 cited

Almost Flat Planar Diagrams

Vladimir A. Kazakov, Matthias Staudacher, Thomas Wynter

We continue our study of matrix models of dually weighted graphs. Among the attractive features of these models is the possibility to interpolate between ensembles of regular and r…

hep-th1995★ 112 cited

Character Expansion Methods for Matrix Models of Dually Weighted Graphs

Vladimir A. Kazakov, Matthias Staudacher, Thomas Wynter

We consider generalized one-matrix models in which external fields allow control over the coordination numbers on both the original and dual lattices. We rederive in a simple fashi…

hep-th1994★ 7 cited

Large Phase Transition In The Heat Kernel On The Group

Vladimir A. Kazakov, Thomas Wynter

The large N phase transition point is investigated in the heat kernel on the group with respect to arbitrary boundary conditions. A simple functional relation is found relat…