Exactly solvable self-dual strings

Details Exactly solvable self-dual strings Exactly solvable self-dual strings

Jun 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990phrvl..64.3111m&link_type=abstract

Physical Review Letters, Volume 64, Issue 26, June 25, 1990, pp.3111-3114

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Expansions For Large Numbers Of Components, Other Nonperturbative Techniques

Scientific paper

Models of random surfaces defined by means of integrals over quaternion-real self-dual random matrices are solved exactly in a double-scaling limit. Coupled nonlinear ordinary differential equations are obtained for the specific heat, which takes the form r+w', where r is the specific heat of the corresponding Hermitian-matrix model, and w satisfies a nonlinear differential equation depending on r. It is shown that the k=2 theory, which may describe a new phase of two-dimensional quantum gravity, is unitary. An alternative method of solution, based on a set of symplectically orthogonal polynomials, is indicated.

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