LOOP EQUATIONS AND KDV HIERARCHY IN 2-D QUANTUM GRAVITY
نویسندگان
چکیده
منابع مشابه
Loop Equations and Virasoro Constraints in Non-perturbative 2-D Quantum Gravity
We give a derivation of the loop equation for two-dimensional gravity from the KdV equations and the string equation of the one matrix model. We find that the loop equation is equivalent to an infinite set of linear constraints on the square root of the partition function satisfying the Virasoro algebra. We give an interpretation of these equations in topological gravity and discuss their exten...
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A study is presented of fully discretized lattice equations associated with the KdV hierarchy. Loop group methods give a systematic way of constructing discretizations of the equations in the hierarchy. The lattice KdV system of Nijhoff et al. arises from the lowest order discretization of the trivial, lowest order equation in the hierarchy, bt = bx. Two new discretizations are also given, the ...
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 1992
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x92001022