EXACTLY SOLVABLE ORIENTED SELFDUAL STRINGS
Mar, 19909 pages
Published in:
- Phys.Rev.Lett. 64 (1990) 3111-3114
Report number:
- NSF-ITP-90-50,
- MCGILL-90-07
Citations per year
Abstract: (APS)
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.- lattice field theory
- random surface
- algebra: quaternion
- duality
- string model
- scaling
- integrability
- differential equations
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