114 research outputs found
The BRST Symmetry of Affine Lie Superalgebras and Non-Critical Strings
The topological field theories associated with affine Lie superalgebras are
constructed. Their BRST symmetry is characterised by a Kazama algebra
containing spin 1, 2 and 3 operators and closes linearly. Under this symmetry
all operators are grouped into BRST doublets. The relation between the models
constructed and non-critical string theories is explored.Comment: 26 pages, phyzzx, no figure
osp(1|2) Conformal Field Theory
We review some results recently obtained for the conformal field theories
based on the affine Lie superalgebra osp(1|2). In particular, we study the
representation theory of the osp(1|2) current algebras and their character
formulas. By means of a free field representation of the conformal blocks, we
obtain the structure constants and the fusion rules of the model. (Lecture
delivered at the CERN-Santiago de Compostela-La Plata Meeting, "Trends in
Theoretical Physics", La Plata, Argentina, April-May 1997).Comment: 16 pages, 1 figure, LaTe
Elliptic models and M-theory
We give a unified analysis of four-dimensional elliptic models with N=2
supersymmetry and a simple gauge group, and their relation to M-theory.
Explicit calculations of the Seiberg-Witten curves and the resulting
one-instanton prepotential are presented. The remarkable regularities that
emerge are emphasized. In addition, we calculate the prepotential in the
Coulomb phase of the (asymptotically-free) Sp(2N) gauge theory with N_f
fundamental hypermultiplets of arbitrary mass.Comment: 52 pages, latex, one eps figure, uses psfig.tex; revised version:
typos corrected and references adde
Two antisymmetric hypermultiplets in N=2 SU(N) gauge theory: Seiberg-Witten curve and M-theory interpretation
The one-instanton contribution to the prepotential for N=2 supersymmetric
gauge theories with classical groups exhibits a universality of form. We
extrapolate the observed regularity to SU(N) gauge theory with two
antisymmetric hypermultiplets and N_f \leq 3 hypermultiplets in the defining
representation. Using methods developed for the instanton expansion of
non-hyperelliptic curves, we construct an effective quartic Seiberg-Witten
curve that generates this one-instanton prepotential. We then interpret this
curve in terms of an M-theoretic picture involving NS 5-branes, D4-branes,
D6-branes, and orientifold sixplanes, and show that for consistency, an
infinite chain of 5-branes and orientifold sixplanes is required, corresponding
to a curve of infinite order.Comment: 30 pages; 3 figures; LaTeX; minor typos correcte
One-instanton predictions for non-hyperelliptic curves derived from M-theory
One-instanton predictions are obtained from certain non-hyperelliptic Seiberg-Witten curves derived from M-theory for N=2 supersymmetric gauge theories. We consider SU(N_1)\times SU(N_2) gauge theory with a hypermultiplet in the bifundamental representation together with hypermultiplets in the defining representations of SU(N_1) and SU(N_2). We also consider SU(N) gauge theory with a hypermultiplet in the symmetric or antisymmetric representation, together with hypermultiplets in the defining representation. The systematic perturbation expansion about a hyperelliptic curve together with the judicious use of an involution map for the curve of the product groups provide the principal tools of the calculations
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