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Conformal techniques, bosonization and tree-level string amplitudes
Abstract Calculational tools are provided allowing the determination of tree-level amplitudes for processes involving fermions and bosons in heterotic and superstring theories. A simpleExpand
Well-posedness and blow-up phenomena for the 2-component Camassa-Holm equation
After some remarks on a possible zero-curvature formulation we first establish local well-posedness for the 2-component Camassa-Holm equation. Then precise blow-up scenarios for strong solutionsExpand
N=4 Supersymmetric Mechanics in Harmonic Superspace
We define N=4, d=1 harmonic superspace HR 1+2|4 with an SU(2)/U(1) harmonic part, SU(2) being one of two factors of the R-symmetry group SU(2)× SU(2) of N=4, d=1 Poincare supersymmetry. WeExpand
Field-dependent BRST transformations in Yang–Mills theory
Abstract We find an explicit form for the Jacobian of arbitrary field-dependent BRST transformations in Yang–Mills theory. For the functional-integral representation of the (gauge-fixed) Yang–MillsExpand
On the N =2 supersymmetric Camassa-Holm and Hunter-Saxton equations
We consider N=2 supersymmetric extensions of the Camassa–Holm and Hunter–Saxton equations. We show that they admit geometric interpretations as Euler equations on the superconformal algebra ofExpand
New variant of N = 4 superconformal mechanics
Proceeding from a nonlinear realization of the most general N = 4, d = 1 superconformal symmetry, associated with the supergroup D(2, 1; ?), we construct a new model of nonrelativistic N = 4Expand
On covariant multi-loop superstring amplitudes
Abstract We present results for g-loop superstring amplitudes obtained by explicitly performing the sum over spin structures in the spinning string formulation. We do this by placing the pictureExpand
Superconformal mechanics
We survey the salient features and problems of conformal and superconformal mechanics and portray some of its developments over the past decade. Both classical and quantum issues of singleandExpand
Scattering of noncommutative solitons in 2+1 dimensions
Abstract Interactions of noncommutative solitons in a modified U ( n ) sigma model in 2+1 dimensions can be analyzed exactly. Using an extension of the dressing method, we construct explicitExpand
Supertwistors and cubic string field theory for open N=2 strings
Abstract The known Lorentz invariant string field theory for open N = 2 strings is combined with a generalization of the twistor description of anti-self-dual (super-)Yang–Mills theories. WeExpand