3,524 research outputs found
An N=1 Supersymmetric Coulomb Flow
We find a three-parameter family of solutions to IIB supergravity that
corresponds to N=1 supersymmetric holographic RG flows of N=4 supersymmetric
Yang Mills theory. This family of solutions allows one to give a mass to a
single chiral superfield, and to probe a two-dimensional subspace of the
Coulomb branch. In particular, we examine part of the Coulomb branch of the
Leigh-Strassler fixed point. We look at the infra-red asymptotics of these
flows from the ten-dimensional perspective. We also make general conjectures
for the lifting Ansatz of five-dimensional scalar configurations to
ten-dimensional tensor gauge fields. Our solution provides a highly non-trivial
test of these conjectures.Comment: 13 pages; harvma
The deformed Virasoro algebra at roots of unity
We discuss some aspects of the representation theory of the deformed Virasoro
algebra \virpq. In particular, we give a proof of the formula for the Kac
determinant and then determine the center of \virpq for a primitive N-th
root of unity. We derive explicit expressions for the generators of the center
in the limit and elucidate the connection to the
Hall-Littlewood symmetric functions. Furthermore, we argue that for
q=\sqrtN{1} the algebra describes `Gentile statistics' of order , i.e.,
a situation in which at most particles can occupy the same state.Comment: 51 pages, TeX (with amssym.def
On deformed W-algebras and quantum affine algebras
We discuss some aspects of the deformed W-algebras W_{q,t}[g]. In particular,
we derive an explicit formula for the Kac determinant, and discuss the center
when t^2 is a primitive k-th root of unity. The relation of the structure of
W_{q,t}[g] to the representation ring of the quantum affine algebra U_q(\hat
g), as discovered recently by Frenkel and Reshetikhin, is further elucidated in
some examples.Comment: 40 pages, plain TeX with amssym.def, improved referencin
Flavor meson localization in 5d braneworld
We propose a brane-world, which contains flavor quarks and mesons, by
embedding dimensionally reduced D7-brane in both the supersymmetric and
non-supersymmetric 5d background which are obtained as the solutions of type
IIB supergravity compactified on Ad. In the supersymmetric case,
the RS brane can be put at any point of the fifth coordinate, but it is pushed
to the Ad boundary in the non-supersymmetric case. We study the
localization of the flavor mesons, the fluctuation-modes of D7-brane, on the
Randall-Sundrum brane in these backgrounds.Comment: 15 pages, 2 figure
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