Boundary operators and touching of loops in 2 d gravity 1
نویسنده
چکیده
We investigate the correlators in unitary minimal conformal models coupled to two-dimensional gravity from the two-matrix model. We show that simple fusion rules for all of the scaling operators exist. We demonstrate the role played by the boundary operators and discuss its connection to how loops touch each other. PACS nos.: 04.60.Nc, 11.25.Pm
منابع مشابه
Boundary Loop Models and 2D Quantum Gravity
We study the O(n) loop model on a dynamically triangulated disk, with a new type of boundary conditions, discovered recently by Jacobsen and Saleur. The partition function of the model is that of a gas of self and mutually avoiding loops covering the disk. The Jacobsen-Saleur (JS) boundary condition prescribes that the loops that do not touch the boundary have fugacity n ∈ [−2, 2], while the lo...
متن کاملFusion rules and macroscopic loops from discretized approach to two - dimensional gravity 1
We investigate the multi-loop correlators and the multi-point functions for all of the scaling operators in unitary minimal conformal models coupled to two-dimensional gravity from the two-matrix model. We show that simple fusion rules for these scaling operators exist, and these are summarized in a compact form as fusion rules for loops. We clarify the role of the boundary operators and discus...
متن کاملNon-perturbative Solutions for Lattice Quantum Gravity
We propose a new, discretized model for the study of 3+1-dimensional canonical quantum gravity, based on the classical SL(2,C)-connection formulation. The discretization takes place on a topological N3-lattice with periodic boundary conditions. All operators and wave functions are constructed from one-dimensional link variables, which are regarded as the fundamental building blocks of the theor...
متن کاملInverse problem for Sturm-Liouville operators with a transmission and parameter dependent boundary conditions
In this manuscript, we consider the inverse problem for non self-adjoint Sturm--Liouville operator $-D^2+q$ with eigenparameter dependent boundary and discontinuity conditions inside a finite closed interval. We prove by defining a new Hilbert space and using spectral data of a kind, the potential function can be uniquely determined by a set of value of eigenfunctions at an interior point and p...
متن کاملSplitting of Heterogeneous Boundaries in a System of the Tricritical Ising Model Coupled to 2-Dim Gravity
We study disk amplitudes whose boundaries have heterogeneous matter states in a system of (4, 5) conformal matter coupled to 2-dim gravity. They are analysed by using the 3-matrix chain model in the large N limit. Each of the boundaries is composed of two or three parts with distinct matter states. From the obtained amplitudes, it turns out that each heterogeneous boundary loop splits into seve...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997