3,184 research outputs found
BPS Solitons and Killing Spinors in Three Dimensional N=2 Supergravity
In the framework of three dimensional extended supergravity theories, we
demonstrate that there exist non-trivial Killing spinors over BPS soliton
configurations, even when the space-time is asymptotically conical. We also
show that there are no physical fermionic zero modes on these backgrounds. We
further generalize these results to the case of semilocal systems.Comment: 7 pages, LaTeX. Short Talk given at the Meeting ``Trends in
Theoretical Physics'', April 28th-May 6th, 1997, La Plata, Argentin
Strong coupling expansion and Seiberg-Witten-Whitham equations
We study the Seiberg-Witten-Whitham equations in the strong coupling regime
of the N=2 super Yang-Mills theory in the vicinity of the maximal
singularities. In the case of SU(2) the Seiberg-Witten-Whitham equations fix
completely the strong coupling expansion. For higher rank SU(N) they provide a
set of non-trivial constraints on the form of this expansion. As an example, we
study the off-diagonal couplings at the maximal point for which we propose an
ansatz that fulfills all the equations.Comment: 10 pages, LaTeX, no figures; v2: The expression for the off-diagonal
couplings has been corrected and numerical checks have been extended. One
reference adde
N=2 supersymmetric Yang-Mills theories and Whitham integrable hierarchies
We review recent work on the study of N=2 super Yang-Mills theory with gauge
group SU(N) from the point of view of the Whitham hierarchy, mainly focusing on
three main results: (i) We develop a new recursive method to compute the whole
instanton expansion of the low-energy effective prepotential; (ii) We interpret
the slow times of the hierarchy as additional couplings and promote them to
spurion superfields that softly break N=2 supersymmetry down to N=0 through
deformations associated to higher Casimir operators of the gauge group; (iii)
We show that the Seiberg-Witten-Whitham equations provide a set of non-trivial
constraints on the form of the strong coupling expansion in the vicinity of the
maximal singularities. We use them to check a proposal that we make for the
value of the off-diagonal couplings at those points of the moduli space.Comment: 19 pages, LaTeX, no figures; Invited talk at the Second Meeting
"Trends in Theoretical Physics", held in Buenos Aires, December 199
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
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
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