Supergravity dressing of beta-functions in N=1 and N=2 supersymmetric models

We discuss the dressing of one-loop sigma-model beta-functions by induced supergravity, for both N=1 and N=2 supersymmetric theories. We obtain exact results by a superconformal gauge argument, and verify them in the semi-classical limit by explicit perturbative calculations in the light-cone gauge. We find that for N=2 theories there is no dressing of the one-loop beta-functions.Comment: 10 pages, latex, macros included, 2 figures in figures.u

Superspace Measures, Invariant Actions, and Component Projection Formulae for (2,2) Supergravity

In the framework of the prepotential description of superspace two-dimensional $(2,2)$ supergravity, we discuss the construction of invariant integrals. In addition to the full superspace measure, we derive the measure for chiral superspace, and obtain the explicit expressions for going from superspace actions to component actions. We consider both the minimal $U_A(1)$ and the extended $U_V(1) \otimes U_A(1)$ theories.Comment: 22 pages, Late

Geometry and beta-functions for N=2 matter models in two dimensions

We study renormalizable nonlinear sigma-models in two dimensions with N=2 supersymmetry described in superspace in terms of chiral and complex linear superfields. The geometrical structure of the underlying manifold is investigated and the one-loop divergent contribution to the effective action is computed. The condition of vanishing beta-function allows to identify a class of models which satisfy this requirement and possess N=4 supersymmetry.Comment: latex file, 20 pages, no figure

Quantization of N=1 chiral/nonminimal (CNM) scalar multiplets and supersymmetric Yang-Mills theories

We give the superfield quantization of chiral/nonminimal (CNM) scalar multiplets defined by pairs of N=1 chiral and complex linear scalar superfields kinematically coupled. In the pure massive case we develop the covariant quantization when CNM multiplets are coupled to background gauge superfields. Furthermore, we study some properties of N=1 supersymmetric Yang--Mills theories constructed using CNM scalar matter superfields. In particular, we compute the one--loop contribution to the effective action for the matter superfields, we study the analogue of the Konishi anomaly and discuss some properties of the glueball superpotential.Comment: 15 pages, LaTeX, references added, new comments in section 2, section 4 modified, new section 6 inserted, version to appear on Phys. Lett.

Gravitational Dressing of N=2 Sigma-Models Beyond Leading Order

We study the beta-function of the N=2 sigma-model coupled to N=2 induced supergravity. We compute corrections to first order in the semiclassical limit, $c \to -\infty$, beyond one-loop in the matter fields. As compared to the corresponding bosonic, metric sigma-model calculation, we find new types of contributions arising from the dilaton coupling automatically accounted for, once the K\"ahler potential is coupled to N=2 supergravity.Comment: latex, 16 pages, 8 figure

Quantizing N=2 matter-supergravity systems

We consider $N=2$ supergravity coupled to $N=2$ Yang--Mills matter and discuss the nature of one--loop divergences. Using $N=1$ superfields and superspace methods, we describe the quantization of the system in the abelian case.Comment: 18 pages, late

Supersymmetric Nonlinear Sigma Models on Ricci-flat Kahler Manifolds with O(N) Symmetry

We propose a class of N=2 supersymmetric nonlinear sigma models on the Ricci-flat Kahler manifolds with O(n) symmetry.Comment: LaTeX2e, 7 pages, no figures, typos corrected, references adde

Renormalization Group Flows in Sigma--Models Coupled to Two--Dimensional Dynamical Gravity

We consider a bosonic \s--model coupled to two--dimensional gravity. In the semiclassical limit, $c\rightarrow -\infty$, we compute the gravity dressing of the \b--functions at two--loop order in the matter fields. We find that the corrections due to the presence of dynamical gravity are {\em not} expressible simply in terms of a multiplicative factor as previously obtained at the one--loop level. Our result indicates that the critical points of the theory are nontrivially influenced and modified by the induced gravity.Comment: Latex file, 18 pages plus 7 figure