Math @ Duke

Publications [#248092] of M. Ronen Plesser
Papers Published
 Ginsparg, P; Goulian, M; Plesser, MR; ZinnJustin, J, (p, q) string actions,
Nuclear Physics B, vol. 342 no. 3
(October, 1990),
pp. 539563, Elsevier BV, ISSN 05503213 [doi]
(last updated on 2019/04/23)
Abstract: We investigate a recently proposed nonperturbative formulation of twodimensional quantum gravity coupled to (p,q) minimal conformal matter. The coupled differential equations for the partition function summed over topologies are shown to follow from an action principle. The basic action for a (p,q) model takes the general form S(p,q) = ∫Res[Qp/q+ 1 + Σk = 0Σα = 0q  2t(k), αQk + (α + 1)/q], where Q is a qthorder differential operator and the t(k), α are sources for operator insertions. We illustrate our results with the explicit examples of the Ising (4,3) and tricritical Ising (5,4) models. The action S(p,q) embodies the essential features of the problem (including the relation to generalized KdV hierarchies) in a most compact form. © 1990.


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