The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian

@inproceedings{Anagnostopoulos1991TheSS,
  title={The Solution Space of the Unitary Matrix Model String Equation and the Sato Grassmannian},
  author={Konstantinos N. Anagnostopoulos and Mark J Bowick},
  year={1991}
}
The space of all solutions to the string equation of the symmetric unitary one-matrix model is determined. It is shown that the string equation is equivalent to simple conditions on points V1 and V2 in the big cell Gr (0) of the Sato Grassmannian Gr. This is a consequence of a well-defined continuum limit in which the string equation has the simple form [P,Q−] = 1, with P and Q− 2 × 2 matrices of differential operators. These conditions on V1 and V2 yield a simple system of first order… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 37 references

An Operator Formalism for Unitary Matrix Models

K. N. Anagnostopoulos, M. J. Bowick, N. Ishibashi
Mod. Phys. Lett. A6, • 1991
View 6 Excerpts
Highly Influenced

Geometric Interpretation of the Partition Function of 2D Gravity

V. Kac, A. Schwarz
Phys. Lett. B257, • 1991
View 4 Excerpts
Highly Influenced

Infinite flag varieties and conjugacy theorems.

Proceedings of the National Academy of Sciences of the United States of America • 1983
View 4 Excerpts
Highly Influenced

A Solution to the String Equation of Unitary Matrix Models

A. Watterstam
Phys. Lett. B263, • 1991
View 1 Excerpt

Continuum Schwinger-Dyson Equations and Universal Structures in Two-Dimensional Quantum Gravity

Fukuma, H. M. Kawai, R. Nakayama
Int. J. Mod. Phys. A6, • 1991
View 1 Excerpt

Loop Equations and Virasoro Constraints in Non-Perturbative Two-Dimensional Quantum Gravity

R. Dijkgraaf, H. Verlinde, E. Verlinde
Nucl. Phys. B348, • 1991
View 1 Excerpt

Multicritical Multi-Cut Matrix Models

C. Crnkovi c, G. Moore
Phys. Lett. B257, • 1991

On Solutions to the String Equation

A. Schwarz
Mod. Phys. Lett. A6, • 1991
View 2 Excerpts

On Some Mathematical Problems of 2D-Gravity and Wh-Gravity

A. Schwarz
Mod. Phys. Lett. A6, • 1991
View 1 Excerpt

On the Origin of Integrability in Matrix Models

E. Martinec
Commun. Math. Phys. 138, • 1991

Similar Papers

Loading similar papers…