Dualities in Fractional Statistics
نویسنده
چکیده
We first reobtain in a simpler way the Haldane fractional statistics at thermal equilibrium using an interpolation argument. We then show that the mean occupation number for fractional statistics is invariant to a group of duality transformations, a nonabelian subgroup of fractional linear group.
منابع مشابه
Quasi-modular Symmetry and Quasi-hypergeometric Functions in Quantum Statistical Mechanics of Fractional Exclusion Statistics
We investigate a novel symmetry in dualities of Wu’s equation: wg(1+w)1−g = eβ( −μ) for a degenerate g-on gas with fractional exclusion statistics of g, where β = 1/kBT , the energy, and μ the chemical potential of the system. We find that the particle–hole duality between g and 1/g and the supersymmetric duality between g and 1 − g form a novel quasi-modular group of order six for Wu’s equatio...
متن کاملIR Renormalons and Fractional Instantons in SUSY Gauge Theories
We study IR-renormalon divergences in N = 1 supersymmetric Yang Mills gauge theories and in two dimensional non linear sigma models with mass gap. We derive, in both types of theories, a direct connection between IRrenormalons and fractional instanton effects. From the point of view of large N dualities we work out a connection between IR-renormalons and c = 1 matrix models.
متن کاملUncertainty in linear fractional transportation problem
In this paper, we study the linear fractional transportation problem with uncertain arameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective fun...
متن کاملFUZZY FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN PARTIALLY ORDERED METRIC SPACES
In this paper, we consider fuzzy fractional partial differential equations under Caputo generalized Hukuhara differentiability. Some new results on the existence and uniqueness of two types of fuzzy solutions are studied via weakly contractive mapping in the partially ordered metric space. Some application examples are presented to illustrate our main results.
متن کاملON THE FUZZY SET THEORY AND AGGREGATION FUNCTIONS: HISTORY AND SOME RECENT ADVANCES
Several fuzzy connectives, including those proposed by Lotfi Zadeh, can be seen as linear extensions of the Boolean connectives from the scale ${0,1}$ into the scale $[0,1]$. We discuss these extensions, in particular, we focus on the dualities arising from the Boolean dualities. These dualities allow to transfer the results from some particular class of extended Boolean functions, e.g., from c...
متن کامل