266 research outputs found
Confining Phase of N=1 Gauge Theories via M Theory Fivebrane
The moduli space of vacua for the confining phase of N=1
supersymmetric gauge theories in four dimensions is studied by M theory
fivebrane. We construct M theory fivebrane configuration corresponding to the
perturbation of superpotential in which the power of adjoint field is related
to the number of NS'5 branes in type IIA brane configuration. We interpret the
dyon vacuum expectation values in field theory results as the brane geometry
and the comparison with meson vevs will turn out that the low energy effective
superpotential with enhanced gauge group SU(2) is exact.Comment: 14 pages, late
Geometry, D-Branes and N=1 Duality in Four Dimensions II
We study N=1 dualities in four dimensional supersymmetric gauge theories in
terms of wrapping D 6-branes around 3-cycles of Calabi-Yau threefolds in type
IIA string theory. We generalize the recent work of geometrical realization for
the models which have the superpotential corresponding to an type
singularity, to various models presented by Brodie and Strassler, consisting of
superpotential of the form . We discuss a
large number of representations for the field , but with always in the
adjoint (symmetric) [antisymmetric] representation for gauge
groups.Comment: 15 pages, late
c=5/2 Free Fermion Model of WB_{2} Algebra
We investigate the explicit construction of the algebra, which is
closed and associative for all values of the central charge , using the
Jacobi identity and show the agreement with the results studied previously.
Then we illustrate a realization of free fermion model, which
is limit of unitary minimal series, based on the cosets at level We confirm by explicit
computations that the bosonic currents in the algebra are indeed
given by the Casimir operators of .Comment: 16 page
Higher Spin Currents in the Orthogonal Coset Theory
In the coset model at levels
, the higher spin current that contains the quartic WZW currents
contracted with completely symmetric invariant tensor of rank
is obtained. The three-point functions with two scalars are obtained for any
finite and with . They are determined also in the large 't
Hooft limit. When one of the levels is the dual Coxeter number of ,
, the higher spin current, which contains the septic
adjoint fermions contracted with the above tensor and the triple product of
structure constants, is obtained from the operator product expansion (OPE)
between the spin current living in the
superconformal algebra and the above higher spin current. The OPEs between
the higher spin currents are described. For
where both levels are equal to the dual Coxeter number of , the higher
spin current of charge , which contains the six product
of spin (two) adjoint fermions contracted with the product of
tensor and two structure constants, is obtained. The corresponding
higher spin multiplet is determined by calculating the remaining higher spin
currents with the help of two spin
currents in the superconformal algebra. The other
higher spin multiplet, whose charge is opposite to the one of above
higher spin multiplet, is obtained. The OPE between these two
higher spin mutiplets is also discussed.Comment: 96 page
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