MATRIX MODELS OF TWO-DIMENSIONAL GRAVITY AND DISCRETE TODA THEORY
1996 ◽
Vol 11
(22)
◽
pp. 1797-1806
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Keyword(s):
Recursion relations for orthogonal polynomials, arising in the study of one-matrix model of two-dimensional gravity, are shown to be equivalent to the equations of the Toda-chain hierarchy supplemented by additional Virasoro constraints. This is the case without the double scaling limit. A discrete time variable to the matrix model is introduced. The discrete time dependent partition functions are given by τ functions which satisfy the discrete Toda molecule equation. Further the relations between the matrix model and the discrete time Toda theory are discussed.
2004 ◽
Vol 19
(03)
◽
pp. 361-370
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Keyword(s):
2018 ◽
Vol 33
(30)
◽
pp. 1830029
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Keyword(s):
1991 ◽
Vol 06
(15)
◽
pp. 2743-2754
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Keyword(s):
1992 ◽
Vol 07
(21)
◽
pp. 5337-5367
◽
Keyword(s):
1992 ◽
Vol 07
(11)
◽
pp. 937-953
◽
Keyword(s):