Exact partition function in U(2)×U(2)U(2)\times U(2) ABJM theory deformed by mass and Fayet-Iliopoulos terms

We exactly compute the partition function for $U(2)_k\times U(2)_{-k}$ ABJM theory on $\mathbb S^3$ deformed by mass $m$ and Fayet-Iliopoulos parameter $\zeta$. For $k=1,2$, the partition function has an infinite number of Lee-Yang zeros. For general $k$, in the decompactification limit the theory exhibits a quantum (first-order) phase transition at $m=2\zeta$.Comment: 11 pages, 1 figure. v2: references adde

Catalogue of the ectoparasitic insects of the bats of Argentina

Taxonomy and distribution of the ectoparasitic insects of bats from Argentina, are reviewed. Seventeen species of Diptera (six of Nycteribiidae and eleven of Streblidae), six species of Siphonaptera (four ofIschnopsyllidae, one of Pulicidae, and one ofStephanocircidae), and seven species of Hemiptera (Polyctenidae) are known presently for Argentina. The information was obtained by reviewing the literature and collecting in the field between 1989 and 1998. The specimens collected in the field were compared with the type material deposited at the Field Museum of Natural History (CHNM).En este primer catalogo de insectos ectoparasitos de murcielagos de la Argentina, se ofrece informacion sobre taxonomia y distribucion. Se conocen actualmente en el pais 17 especies de Diptera (seis de Nycteribiidae yonce de Streblidae), seis de Siphonaptera (cuatro de Ischnopsyllidae, una de Pulicidae y una de Stephanocircidae) y siete especies de Hemiptera (Polyctenidae). Se consulto numerosa literatura sobre los distintos grupos y se reviso abundante material obtenido en viajes de campana realizados desde 1989 a 1998, a numerosas localidades de la Argentina. Se realizaron comparaciones con material tipo del Field Museum of Natural History (CHNM)

Spectrum of three-body bound states in a finite volume

The spectrum of a bound state of three identical particles with a mass $m$ in a finite cubic box is studied. It is shown that in the unitary limit, the energy shift of a shallow bound state is given by $\Delta E=c (\kappa^2/m)\,(\kappa L)^{-3/2}|A|^2\exp(-2\kappa L/\sqrt{3})$, where $\kappa$ is the bound-state momentum, $L$ is the box size, $|A|^2$ denotes the three-body analog of the asymptotic normalization coefficient of the bound state wave function and $c$ is a numerical constant. The formula is valid for $\kappa L\gg 1$.Comment: An error in the calculation of the overlap integral in Eq. (11) is corrected. Our main result given in Eq. (26) remains the same, except the numerical value of the constant c, which changes approximately by 10

Associative memory on a small-world neural network

We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the attractors for all values of the disorder of the network.Comment: 5 pages, 4 figures (eps

Regional Contagion and the Globalization of Securities Markets

This paper argues that the globalization of securities markets may promote contagion among investors by weakening incentives for gathering costly country-specific information and by strengthening incentives for imitating arbitrary market portfolios. In the presence of short-selling constraints, the utility gain of gathering information at a fixed cost converges to a constant level and may diminish as securities markets grow. Moreover, if a portfolio manager's marginal cost for yielding below-market returns exceeds the marginal gain for above-market returns, there is a range of optimal portfolios in which all investors imitate arbitrary market portfolios and this range widens as the market grows. Numerical simulations suggest that these frictions can have significant quantitative implications and they may induce large capital flows in emerging markets.

Supersymmetric U(N)U(N) Chern-Simons-matter theory and phase transitions

We study ${\mathcal{N}}=2$ supersymmetric $U(N)$ Chern-Simons with $N_{f}$ fundamental and $N_{f}$ antifundamental chiral multiplets of mass $m$ in the complete parameter space spanned by $(g,\,m,\,N,\,N_{f})$, where $g$ denotes the coupling constant. In particular, we analyze the matrix model description of its partition function, both at finite $N$ using the method of orthogonal polynomials together with Mordell integrals and, at large $N$ with fixed $g$, using the theory of Toeplitz determinants. We show for the massless case that there is an explicit realization of the Giveon-Kutasov duality. For finite $N$, with $N>N_{f}$, three regimes that exactly correspond to the known three large $N$ phases of theory are identified and characterized.Comment: 28 pages, v3: Minor modification to match published versio