97 research outputs found
On N=2 low energy effective actions
We propose a Wilsonian action compatible with special geometry and higher
dimension N=2 corrections, and show that the holomorphic contribution F to the
low energy effective action is independent of the infrared cutoff. We further
show that for asymptotically free SU(2) super Yang-Mills theories, the infrared
cutoff can be tuned to cancel leading corrections to F. We also classify all
local higher-dimensional contributions to the N=2 superspace effective action
that produce corrections to the Kahler potential when reduced to N=1
superspace.Comment: 9 pages, Late
On Superspace Chern-Simons-like Terms
We search for superspace Chern-Simons-like higher-derivative terms in the low
energy effective actions of supersymmetric theories in four dimensions.
Superspace Chern-Simons-like terms are those gauge-invariant terms which cannot
be written solely in terms of field strength superfields and covariant
derivatives, but in which a gauge potential superfield appears explicitly. We
find one class of such four-derivative terms with N=2 supersymmetry which,
though locally on the Coulomb branch can be written solely in terms of field
strengths, globally cannot be. These terms are classified by certain Dolbeault
cohomology classes on the moduli space. We include a discussion of other
examples of terms in the effective action involving global obstructions on the
Coulomb branch.Comment: 23 pages; a reference and an author email correcte
The N=1 superstring as a topological field theory
By "untwisting" the construction of Berkovits and Vafa, one can see that the
N=1 superstring contains a topological twisted N=2 algebra, with central charge
c^ = 2. We discuss to what extent the superstring is actually a topological
theory.Comment: 8 Pages (LaTeX). TAUP-2155-9
Spacetime Virasoro algebra from strings on zero radius AdS_3
We study bosonic string theory in the light-cone gauge on AdS_3 spacetime
with zero radius of curvature (in string units) R/\sqrt{\alpha^\prime}=0. We
find that the worldsheet theory admits an infinite number of conserved
quantities which are naturally interpreted as spacetime charges and which form
a representation of (two commuting copies of) a Virasoro algebra. Near the
boundary of AdS_3 these charges are found to be isomorphic to the infinite set
of asymptotic Killing vectors of AdS_3 found originally by Brown and Henneaux.
In addition to the spacetime Virasoro algebra, there is a worldsheet Virasoro
algebra that generates diffeomorphisms of the spatial coordinate of the string
worldsheet. We find that if the worldsheet Virasoro algebra has a central
extension then the spacetime Virasoro algebra acquires a central extension via
a mechanism similar to that encountered in the context of the SL(2,R) WZW
model.Our observations are consistent with a recently proposed duality between
bosonic strings on zero radius AdS_d+1 and free field theory in d dimensions.Comment: 23 pages, uses JHEP.cls. References adde
Gravitational Smearing of Minimal Supersymmetric Unification Predictions
A short and mean paper.Comment: 10 pages total + 1 postscript figure (included), revised: all lines
are TRULY < 70 characters long (try it!); LBL-32905, UCB-PTH-92/3
N=1 Supersymmetric Product Group Theories in the Coulomb Phase
We study the low-energy behavior of N=1 supersymmetric gauge theories with
product gauge groups SU(N)^M and M chiral superfields transforming in the
fundamental representation of two of the SU(N) factors. These theories are in
the Coulomb phase with an unbroken U(1)^(N-1) gauge group. For N >= 3, M >= 3
the theories are chiral. The low-energy gauge kinetic functions can be obtained
from hyperelliptic curves which we derive by considering various limits of the
theories. We present several consistency checks of the curves including
confinement through the addition of mass perturbations and other limits.Comment: 22 pages, LaTeX, minor changes. Eqs. (20) and (42) correcte
The Coulomb branch of N=1 supersymmetric SU(N_c) x SU(N_c) gauge theories
We analyze the low energy behavior of N=1 supersymmetric gauge theories with
SU(N_c) x SU(N_c) gauge group and a Landau-Ginzburg type superpotential. These
theories contain fundamentals transforming under one of the gauge groups as
well as bifundamental matter which transforms as a fundamentals under each. We
obtain the parametrization of the gauge coupling on the Coulomb branch in terms
of a hyperelliptic curve. The derivation of this curve involves making use of
Seiberg's duality for SQCD as well as the classical constraints for N_f=N_c+1
and the quantum modified constraints for N_f=N_c.Comment: 16 pages, no figures, revtex; typos correcte
Families of N=2 Strings
In a given 4d spacetime bakcground, one can often construct not one but a
family of distinct N=2 string theories. This is due to the multiple ways N=2
superconformal algebra can be embedded in a given worldsheet theory. We
formulate the principle of obtaining different physical theories by gauging
different embeddings of the same symmetry algebra in the same ``pre-theory.''
We then apply it to N=2 strings and formulate the recipe for finding the
associated parameter spaces of gauging. Flat and curved target spaces of both
(4,0) and (2,2) signatures are considered. We broadly divide the gauging
choices into two classes, denoted by alpha and beta, and show them to be
related by T-duality. The distinction between them is formulated topologically
and hinges on some unique properties of 4d manifolds. We determine what their
parameter spaces of gauging are under certain simplicity ansatz for generic
flat spaces (R^4 and its toroidal compactifications) as well as some curved
spaces. We briefly discuss the spectra of D-branes for both alpha and beta
families.Comment: 66+1 pages, 2 tables, latex 2e, hyperref. ver2: typos corrected,
reference adde
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