1,494 research outputs found
The extended conformal theory of the Calogero-Sutherland model
We describe the recently introduced method of Algebraic Bosonization of
(1+1)-dimensional fermionic systems by discussing the specific case of the
Calogero-Sutherland model. A comparison with the Bethe Ansatz results is also
presented.Comment: 12 pages, plain LaTeX, no figures; To appear in the proceedings of
the IV Meeting "Common Trends in Condensed Matter and High Energy Physics",
Chia Laguna, Cagliari, Italy, 3-10 Sep. 199
The extended conformal theory of Luttinger systems
We describe the recently introduced method of algebraic bosonization of the
-dimensional Luttinger systems by discussing in detail the specific case
of the Calogero-Sutherland model, and mentioning the hard-core Bose gas. We
also compare our findings with the exact Bethe Ansatz results.Comment: 9 pages, plain Latex file, ,based on a talk given by S. Sciuto at the
II International Sakharov Conference on Physics, Moscow, Russia, 20-24 May 9
Algebraic bosonization: the study of the Heisenberg and Calogero-Sutherland models
We propose an approach to treat (1+1)--dimensional fermionic systems based on
the idea of algebraic bosonization. This amounts to decompose the elementary
low-lying excitations around the Fermi surface in terms of basic building
blocks which carry a representation of the W_{1+\infty} \times {\overline
W_{1+\infty}} algebra, which is the dynamical symmetry of the Fermi quantum
incompressible fluid. This symmetry simply expresses the local particle-number
current conservation at the Fermi surface. The general approach is illustrated
in detail in two examples: the Heisenberg and Calogero-Sutherland models, which
allow for a comparison with the exact Bethe Ansatz solution.Comment: 51 pages, plain LaTe
Anyonic Realization of the Quantum Affine Lie Superalgebra U_q(A(M,N)^{(1)})
We give a realization of the quantum affine Lie superalgebras U_q(A(M,N))^(1)
in terms of anyons defined on a one or two-dimensional lattice, the deformation
parameter q being related to the statistical parameter of the anyons by q
= exp(i\pi\nu). The construction uses anyons contructed from usual fermionic
oscillators and deformed bosonic oscillators. As a byproduct, realization
deformed in any sector of the quantum superalgebras U_q(A(M,N)) is obtained.Comment: 14p LaTeX Document (should be run twice
Non-perturbative studies of N=2 conformal quiver gauge theories
We study N=2 super-conformal field theories in four dimensions that
correspond to mass-deformed linear quivers with n gauge groups and
(bi-)fundamental matter. We describe them using Seiberg-Witten curves obtained
from an M-theory construction and via the AGT correspondence. We take
particular care in obtaining the detailed relation between the parameters
appearing in these descriptions and the physical quantities of the quiver gauge
theories. This precise map allows us to efficiently reconstruct the
non-perturbative prepotential that encodes the effective IR properties of these
theories. We give explicit expressions in the cases n=1,2, also in the presence
of an Omega-background in the Nekrasov-Shatashvili limit. All our results are
successfully checked against those of the direct microscopic evaluation of the
prepotential a la Nekrasov using localization methods.Comment: 56 pages, 7 figures, PdfLaTeX. v2: a few references added, version to
appear on Fortschritte der Physi
Modular and duality properties of surface operators in N=2* gauge theories
We calculate the instanton partition function of the four-dimensional N=2*
SU(N) gauge theory in the presence of a generic surface operator, using
equivariant localization. By analyzing the constraints that arise from
S-duality, we show that the effective twisted superpotential, which governs the
infrared dynamics of the two-dimensional theory on the surface operator,
satisfies a modular anomaly equation. Exploiting the localization results, we
solve this equation in terms of elliptic and quasi-modular forms which resum
all non-perturbative corrections. We also show that our results, derived for
monodromy defects in the four-dimensional theory, match the effective twisted
superpotential describing the infrared properties of certain two-dimensional
sigma models coupled either to pure N=2 or to N=2* gauge theories.Comment: 51 pages, v3: references added, typos fixed, footnote added, some
small changes in the text, appendix B streamlined. Matches the published
versio
On the Fock space for nonrelativistic anyon fields and braided tensor products
We realize the physical N-anyon Hilbert spaces, introduced previously via
unitary representations of the group of diffeomorphisms of the plane, as N-fold
braided-symmetric tensor products of the 1-particle Hilbert space. This
perspective provides a convenient Fock space construction for nonrelativistic
anyon quantum fields along the more usual lines of boson and fermion fields,
but in a braided category. We see how essential physical information is thus
encoded. In particular we show how the algebraic structure of our anyonic Fock
space leads to a natural anyonic exclusion principle related to intermediate
occupation number statistics, and obtain the partition function for an
idealised gas of fixed anyonic vortices.Comment: Added some references, more explicit formulae for the discrete case
and remark on partition function. 25 pages latex, no figure
The abandoned antimony-mines of SE Sardinia: impact on surface waters
This study investigates the impact of abandoned Sb-mines on the Flumendosa River, which is the most important
water resource in southern Sardinia. Hydrogeochemical surveys carried out in 2005 and 2006 indicated a
significant impact of waters flowing out from adits, slag, tailings and waste materials on surface waters. The
contaminated waters show alkaline pH, and high dissolved SO4, Sb and As (up to 1900, 9.6 and 3.5 mg/L,
respectively). Although the flow rates of drainages from the mining area are usually low (in the range of < 0.1 to
1 L/s), the contribution to dissolved concentrations of Sb in the streams downstream of mines is high. Sampling
under high flow conditions in the Flumendosa River before the confluence with the contaminated streams
showed Sb concentrations below the limits established by the guidelines of World Health Organization for
drinking water (i.e. 20 g/L), while downstream of the confluence dissolved Sb was 32 g/L. Contamination in
the Flumendosa extended 16 km, and attenuation (15 g/L Sb) was only observed close to the Flumendosa
mouth
Surface operators in 5d gauge theories and duality relations
We study half-BPS surface operators in 5d N=1 gauge theories compactified on
a circle. Using localization methods and the twisted chiral ring relations of
coupled 3d/5d quiver gauge theories, we calculate the twisted chiral
superpotential that governs the infrared properties of these surface operators.
We make a detailed analysis of the localization integrand, and by comparing
with the results from the twisted chiral ring equations obtain constraints on
the 3d and 5d Chern-Simons levels so that the instanton partition function does
not depend on the choice of integration contour. For these values of the
Chern-Simons couplings, we comment on how the distinct quiver theories that
realize the same surface operator are related to each other by Aharony-Seiberg
dualities.Comment: 39 pages. v2: A few sentences rephrased, references added, and typos
corrected. Matches version published in JHE
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