Non - Critical Superstrings : a Comparison between Continuum and Discrete Approaches
نویسندگان
چکیده
We review the relation between the matrix model and Liouville approaches to two-dimensional gravity as elaborated by Moore, Seiberg and Staudacher. Then, based on the supersymmetric Liouville formulation and the discrete eigenvalue model proposed by Alvarez-Gaumé, Itoyama, Mañes and Zadra, we extend the previous relation to the supersymmetric case. The minisuperspace approximation for the super-symmetric case is formulated, and the corresponding wave equation is found.
منابع مشابه
On the Amplitudes for Non Critical N=2 Superstrings
We compute correlation functions in N = 2 non critical superstrings on the sphere. Our calculations are restrained to the (s = 0) bulk amplitudes. We show that the four point function factorizes as a consequence of the non-critical kinemat-ics, but differently from the N = 0, 1 cases no extra discrete state appears in thê c → 1 − limit.
متن کاملNonlocal Effect on Buckling of Triangular Nano-composite Plates
In the present study, small scale effect on critical buckling loads of triangular nano- composite plates under uniform in-plane compression is studied. Since at nano-scale the structure of the plate is discrete, the size dependent nonlocal elasticity theory is employed to develop an equivalent continuum plate model for this nanostructure incorporating the changes in its mechanical behavior. The...
متن کاملComparison of Estimates Using Record Statistics from Lomax Model: Bayesian and Non Bayesian Approaches
This paper address the problem of Bayesian estimation of the parameters, reliability and hazard function in the context of record statistics values from the two-parameter Lomax distribution. The ML and the Bayes estimates based on records are derived for the two unknown parameters and the survival time parameters, reliability and hazard functions. The Bayes estimates are obtained based on conju...
متن کاملNew Discrete States in Two-Dimensional Supergravity
Two-dimensional string theory is known to contain the set of discrete states that are the SU(2) multiplets generated by the lowering operator of the SU(2) current algebra. Their structure constants are defined by the area preserving diffeomorphisms in two dimensions. In this paper we show that the interaction of d = 2 superstrings with the superconformal β − γ ghosts enlarges the actual algebra...
متن کاملNon-homogeneous continuous and discrete gradient systems: the quasi-convex case
In this paper, first we study the weak and strong convergence of solutions to the following first order nonhomogeneous gradient system $$begin{cases}-x'(t)=nablaphi(x(t))+f(t), text{a.e. on} (0,infty)\x(0)=x_0in Hend{cases}$$ to a critical point of $phi$, where $phi$ is a $C^1$ quasi-convex function on a real Hilbert space $H$ with ${rm Argmin}phineqvarnothing$ and $fin L^1(0...
متن کامل