Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-11-29
J.Phys.A44:375401,2011
Physics
High Energy Physics
High Energy Physics - Theory
37 pages, 17 multi-component figures
Scientific paper
10.1088/1751-8113/44/37/375401
We use a combination of a 't Hooft limit and numerical methods to find non-perturbative solutions of exactly solvable string theories, showing that perturbative solutions in different asymptotic regimes are connected by smooth interpolating functions. Our earlier perturbative work showed that a large class of minimal string theories arise as special limits of a Painleve IV hierarchy of string equations that can be derived by a similarity reduction of the dispersive water wave hierarchy of differential equations. The hierarchy of string equations contains new perturbative solutions, some of which were conjectured to be the type IIA and IIB string theories coupled to (4,4k-2) superconformal minimal models of type (A,D). Our present paper shows that these new theories have smooth non-perturbative extensions. We also find evidence for putative new string theories that were not apparent in the perturbative analysis.
Iyer Ramakrishnan
Johnson Clifford V.
Pennington Jeffrey S.
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