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- W1488220821 abstract "One of the amusing features of random discretized surfaces [1] [2][3] is the geometric appearance of matter [4]: appropriately choosing the areas assigned to the elementary k-gons that make up the surface, amounts to introducing certain statistical mechanical vertex models, which at criticality can modify the infrared behaviour of the theory. The simplest example is the Lee-Yang edge singularity [5] shown to correspond to the first non-trivial (k = 3) multicritical point of the one-matrix model; the known higher order multicritical points are likewise believed to correspond to (2k - 1,2) non-unitary minimal matter coupled to gravity. The phase structure of the one-matrix model is, however, certainly much richer and still largely unexplored. It can in fact be argued that, if we allow couplings more general than traces of polynomials, the one-matrix model can describe all conceivable string theories: just add any matter explicitly by giving extra (flavour) indices to the matrix that generates triangulations, then integrate out all these matrices but one. This simple argument shows that a full classification of critical behaviour in the one-matrix model may be too ambitious a task." @default.
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- W1488220821 date "1991-01-01" @default.
- W1488220821 modified "2023-09-23" @default.
- W1488220821 title "On Triangles and Squares" @default.
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- W1488220821 doi "https://doi.org/10.1007/978-1-4615-3772-4_2" @default.
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