Abstract not found

Abstract not found

We conjecture an expression for the Liouville theory conformal blocks and correlation functions on a Riemann surface of genus g and n punctures as the Nekrasov partition function of a certain class of N = 2 SCFTs recently defined by one of the authors. We conduct extensive tests of the conjecture at genus 0, 1.

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Abstract. The well-known “splitting necklace theorem ” of Alon [1] says that each necklace with k · ai beads of color i = 1,..., n can be fairly divided between k “thieves ” by at most n(k − 1) cuts. Alon deduced this result from the fact that such a division is possible also in the case of a

Context. Galaxies in the Universe form chains (filaments) that connect groups and clusters of galaxies. The filamentary network includes nearly half of the galaxies and is visually the most striking feature in cosmological maps. Aims. We study the distribution of galaxies along such a filamentary

Abstract. We study several geometric and algebraic properties of a necklace: a link composed with a core circle and a series of circles linked to this core. We first prove that the fundamental group of the con-figuration space of necklaces is isomorphic to the braid group over an annulus. We

A k-ary necklace of order n is an equivalence class of strings of length n of symbols from {0, 1,..., k − 1} under cyclic rotation. In this paper we define an ordering on the free semigroup on two generators such that the binary strings of length n are in Gray-code order for each n. We take

It has been suggested recently by Gan, Coleman, and Andrei that studying the underscreened Kondo problem may help to understand the nature of magnetism in heavy fermion systems. Motivated by Doniach’s work on the S = 1/2 Kondo necklace, we introduce the underscreened Kondo necklace models with S

The necklace Lie algebra for a quiver was introduced simultaneously by Bocklandt and Le Bruyn in [2] and Ginzburg in [5] to study the noncommutative symplectic geometry of preprojective algebras. Later, Van den Bergh in [10] linked the necklace Lie algebra to double Poisson structures and used