1,777 research outputs found
Supersymmetry and Bosonization in Three Dimensions
We discuss on the possible existence of a supersymmetric invariance in purely
fermionic planar systems and its relation to the fermion-boson mapping in
three-dimensional quantum field theory. We consider, as a very simple example,
the bosonization of free massive fermions and show that, under certain
conditions on the masses, this model displays a supersymmetric-like invariance
in the low energy regime. We construct the purely fermionic expression for the
supercurrent and the non-linear supersymmetry transformation laws. We argue
that the supersymmetry is absent in the limit of massless fermions where the
bosonized theory is non-local.Comment: 12 pages, LaTeX, no figures, to appear in Physics Letters
D6 branes and M theory geometrical transitions from gauged supergravity
We study the supergravity duals of supersymmetric theories arising in the
world-volume of D6 branes wrapping holomorphic two-cycles and special
Lagrangian three-cycles within the framework of eight dimensional gauged
supergravity. When uplifted to 11d, our solutions represent M-theory on the
background of, respectively, the small resolution of the conifold and a
manifold with G_2 holonomy. We further discuss on the flop and other possible
geometrical transitions and its implications.Comment: 16 pages, harvmac, one figure; references adde
A perturbative approach to the quantum elliptic Calogero-Sutherland model
We solve perturbatively the quantum elliptic Calogero-Sutherland model in the
regime in which the quotient between the real and imaginary semiperiods of the
Weierstrass function is smallComment: 6 pages, no figure
Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
A procedure is described that makes use of the generating function of
characters to obtain a new generating function giving the multiplicities of
each weight in all the representations of a simple Lie algebra. The way to
extract from explicit multiplicity formulas for particular weights is
explained and the results corresponding to rank two simple Lie algebras shown
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