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• W2257382775 abstract "We consider a spin-s Heisenberg model coupled to two-dimensional quantum gravity. We quantize the model using the Feynman path integral, summing over all possible two-dimensional geometries and spin configurations. We regularize this path integral by starting with the R-matrices defining the spin-s Heisenberg model on a regular 2d Manhattan lattice. 2d quantum gravity is included by defining the R-matrices on random Manhattan lattices and summing over these, in the same way as one sums over 2d geometries using random triangulations in non-critical string theory. We formulate a random matrix model where the partition function reproduces the annealed average of the spin-s Heisenberg model over all random Manhattan lattices. A technique is presented which reduces the random matrix integration in partition function to an integration over their eigenvalues." @default.
• W2257382775 created "2016-06-24" @default.
• W2257382775 creator A5020375141 @default.
• W2257382775 creator A5056082354 @default.
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• W2257382775 date "2015-07-06" @default.
• W2257382775 modified "2023-09-27" @default.
• W2257382775 title "Matrix model for strings beyond thec=1barrier: The spin-sHeisenberg model on random surfaces" @default.
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• W2257382775 doi "https://doi.org/10.1103/physrevd.92.026002" @default.
• W2257382775 hasPublicationYear "2015" @default.
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