Parallel waves in Einstein-nonlinear sigma models

Supersymmetric Nonlinear Sigma Models as Gauge Theories

Supersymmetric nonlinear sigma models are obtained from linear sigma models by imposing supersymmetric constraints. If we introduce auxiliary chiral and vector superfields, these constraints are expressed by D-terms and F-terms depending on the target manifolds. Auxiliary vector superfields appears as gauge fields without kinetic terms. If there is no D-term constraints, the target manifolds ar...

Topics in Nonlinear Sigma Models in D = 3 Contents

Nonlinear sigma models (NLSM) in d = 3 have many interesting and nontrivial features, which were explored poorly in contrast with NLSM in d = 2 and d = 4. We present a few results from our study of the perturbative and non-pertubative properties of three-dimensional (3D) NLSM. i) We have shown that cancellation of ultra-violet (UV) divergences takes place in 3D extended (N = 2, 4) supersymmetri...

On Nonlinear Water Waves in a Channel

BPS Walls and Junctions in SUSY Nonlinear Sigma Models

BPS walls and junctions are studied in N = 1 SUSY nonlinear sigma models in four spacetime dimensions. New BPS junction solutions connecting N discrete vacua are found for nonlinear sigma models with several chiral scalar superfields. A nonlinear sigma model with a single chiral scalar superfield is also found which has a moduli space of the topology of S and admits BPS walls and junctions conn...

Cutoff Effects in O(N) Nonlinear Sigma Models

In the nonlinear O(N) sigma model at N = 3 unexpected cutoff effects have been found before with standard discretizations and lattice spacings. Here the situation is analyzed further employing additional data for the step scaling function of the finite volume massgap at N = 3, 4, 8 and a large N -study of the leading as well as next-toleading terms in 1/N . The latter exact results are demonstr...