Nonperturbative Solution of the Super-Virasoro Constraints

We present the solution of the discrete super-Virasoro constraints to all orders of the genus expansion. Integrating over the fermionic variables we get a representation of the partition function in terms of the one-matrix model. We also obtain the nonperturbative solution of the super-Virasoro constraints in the double scaling limit but do not find agreement between our flows and the known supersymmetric extensions of KdV.Comment: 12 pages, CERN-TH.6761/9

Non-Abelian Duality and Canonical Transformations

We construct explicit canonical transformations producing non-abelian duals in principal chiral models with arbitrary group G. Some comments concerning the extension to more general $\sigma$-models, like WZW models, are given.Comment: 9 pags, latex fil

On the invariance of the string partition function under duality

We consider the $N\!=\!1$ supersymmetric $\sigma$-model and we examine the transformation properties of the partition function under target-space duality. Contrary to what one would expect, we find that it is not, in general, invariant. In fact, besides the dilaton shift emerging from the Jacobian of the duality transformation of the bosonic part, there also exist a Jacobian for the fermionic part since fermions are also transform under the duality process. The latter is just the parity of the spin structure of the word sheet and since it cannot be compensated, the dual theory is not equvalent to the original one.Comment: 11 pages, Late

S-duality and Canonical Transformations in String Theory

The symmetries of the tree level string effective action are discussed. An appropriate effective action is constructed starting from the manifestly SL(2,R) invarint form of string effective action introduced by Schwarz and Sen. The conserved charges are derived and generators of infinitesimal transformations are obtained in the Hamiltonian formalism. Some interesting consequences of the canonical transformations are explored.Comment: 13 pages, Latex, typos are corrected just after eqs. (11) & (17) also some explanations are added ( version to appear in Phy. Let. B

Some Correlation Functions of Minimal Superconformal Models Coupled to Supergravity

We compute general three-point functions of minimal superconformal models coupled to supergravity in the Neveu-Schwarz sector for spherical topology thus extending to the superconformal case the results of Goulian and Li and of Dotsenko.Comment: 15 page

Dual inflation

We propose a new model of inflation based on the soft-breaking of N=2 supersymmetric SU(2) Yang-Mills theory. The advantage of such a model is the fact that we can write an exact expression for the effective scalar potential, including non-perturbative effects, which preserves the analyticity and duality properties of the Seiberg-Witten solution. We find that the scalar condensate that plays the role of the inflaton can drive a long period of cosmological expansion, produce the right amount of temperature anisotropies in the microwave background, and end inflation when the monopole acquires a vacuum expectation value. Duality properties relate the weak coupling Higgs region where inflation takes place with the strong coupling monopole region, where reheating occurs, creating particles corresponding to the light degrees of freedom in the true vacuum.Comment: 5 pages, RevTeX, epsf, 2 figures (included in the text). Slightly improved version, accepted in Physics Letters

Strongly interacting WW bosons and supersymmetry

We present arguments in favor of the idea that supersymmetric sigma models with compact symmetric K\"ahler spaces as target manifolds have a second-order phase transition in four dimensions. When applied to electroweak symmetry breaking, these models then do not require a light Higgs boson or techni-resonances but predict fermionic superpartners of longitudinal W's and Z with masses at or below TeV scale. Presence of the phase transition leads to a fractional-power energy dependence of fixed-angle scattering amplitude of longitudinal W's and Z's at high energies.Comment: 8 pages, LATEX, UCLA/93/TEP/2

Differential geometry construction of anomalies and topological invariants in various dimensions

In the model of extended non-Abelian tensor gauge fields we have found new metric-independent densities: the exact (2n+3)-forms and their secondary characteristics, the (2n+2)-forms as well as the exact 6n-forms and the corresponding secondary (6n-1)-forms. These forms are the analogs of the Pontryagin densities: the exact 2n-forms and Chern-Simons secondary characteristics, the (2n-1)-forms. The (2n+3)- and 6n-forms are gauge invariant densities, while the (2n+2)- and (6n-1)-forms transform non-trivially under gauge transformations, that we compare with the corresponding transformations of the Chern-Simons secondary characteristics. This construction allows to identify new potential gauge anomalies in various dimensions.Comment: 27 pages, references added, matches published versio