A nu=2/5 Paired Wavefunction

We construct a wavefunction, generalizing the well known Moore-Read Pfaffian, that describes spinless electrons at filling fraction nu=2/5 (or bosons at filling fraction nu=2/3) as the ground state of a very simple three body potential. We find, analogous to the Pfaffian, that when quasiholes are added there is a ground state degeneracy which can be identified as zero-modes of the quasiholes. The zero-modes are identified as having semionic statistics. We write this wavefunction as a correlator of the Virasoro minimal model conformal field theory M(5,3). Since this model is non-unitary, we conclude that this wavefunction is a quantum critical state. Nonetheless, we find that the overlaps of this wavefunction with exact diagonalizations in the lowest and first excited Landau level are very high, suggesting that this wavefunction may have experimental relevance for some transition that may occur in that regime.Comment: 13 pages, 2 figure

Homeworks 1, 2, 5, And 10

In these assignments, students use the Wamesa Talking Dictionary and other related dictionaries in the Cenderawasih Bay corpus to discover the phonetics, phonology, and morphology of the Wamesa language, and to learn about digital lexicography as part of a language documentation project

Lattice paths of slope 2/5

We analyze some enumerative and asymptotic properties of Dyck paths under a line of slope 2/5.This answers to Knuth's problem \\#4 from his "Flajolet lecture" during the conference "Analysis of Algorithms" (AofA'2014) in Paris in June 2014.Our approach relies on the work of Banderier and Flajolet for asymptotics and enumeration of directed lattice paths. A key ingredient in the proof is the generalization of an old trick of Knuth himself (for enumerating permutations sortable by a stack),promoted by Flajolet and others as the "kernel method". All the corresponding generating functions are algebraic,and they offer some new combinatorial identities, which can be also tackled in the A=B spirit of Wilf--Zeilberger--Petkov{\v s}ek.We show how to obtain similar results for other slopes than 2/5, an interesting case being e.g. Dyck paths below the slope 2/3, which corresponds to the so called Duchon's club model.Comment: Robert Sedgewick and Mark Daniel Ward. Analytic Algorithmics and Combinatorics (ANALCO)2015, Jan 2015, San Diego, United States. SIAM, 2015 Proceedings of the Twelfth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), eISBN 978-1-61197-376-1, pp.105-113, 2015, 2015 Proceedings of the Twelfth Workshop on Analytic Algorithmics and Combinatorics (ANALCO

New Conformal Models with c<2/5c<2/5

The zoo of two-dimensional conformal models has been supplemented by a series of nonunitary conformal models obtained by cosetting minimal models. Some of them coincide with minimal models, some do not have even Kac spectrum of conformal dimensions.Comment: LANDAU-93-TMP-6, 7 pages, plain TEX, misprints correcte

Multiple-quasiparticle agglomerates at \nu=2/5

We investigate the dynamics of quasiparticle agglomerates in edge states of the Jain sequence for \nu=2/5. Comparison of the Fradkin-Lopez model with the Wen one is presented within a field theoretical construction, focusing on similarities and differences. We demonstrate that both models predict the same universal role for the multiple-quasiparticle agglomerates that dominate on single quasiparticles at low energy. This result is induced by the presence of neutral modes with finite velocity and is essential to explain the anomalous behavior of tunneling conductance and noise through a point contact.Comment: 6 pages, in press Physica E as proceedings of FQMT0

Ecoso exchange newsletter 2/5; Aug. 1989

In this Issue: Pages: 1. Cluster and Connect - The Nunawading Energy Study 3. 2020. A Sustainable Healthy Futures 4. Question of Greenhouse - Public Health Association 5. Rainbow Sustainable Society Seminar - Two Scenarios 5. Obstacles to Urban Reform (Talk at Rainbow Seminar) 5. Rainbow Day of Action 6. Traffic Calming (Report by a Brisbane Action Group) 6. Local Democracy at Work (A New Video) 7. New Left Party - Ideas on Sustainable Societies 9. Franchise Child Care - A Warning from USA 9. Victorian Public Library and D.A.T.E. 9. Subscription Form for New Subscribers 10. A Government Glossy - "Housing for All" 10. Melbourne in Crisis - Public Forums 10. Olympic Games and the Multi-Functional Polis (MFP) 10. Mark August 20th in Your Diary Now! 11. Olympics and Economics, Ecology, Employment, and Equit

BFKL approach and 2->5 MHV amplitude

We study MHV amplitude for the 2 -> 5 scattering in the multi-Regge kinematics. The Mandelstam cut correction to the BDS amplitude is calculated in the leading logarithmic approximation (LLA) and the corresponding remainder function is given to any loop order in a closed integral form. We show that the LLA remainder function at two loops for 2 -> 5 amplitude can be written as a sum of two 2 -> 4 remainder functions due to recursive properties of the leading order impact factors. We also make some generalizations for the MHV amplitudes with more external particles. The results of the present study are in agreement with all leg two loop symbol derived by Caron-Huot as shown in a parallel paper of one of the authors with collaborators.Comment: 24 pages, 17 figure