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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 Poincaré supersymmetry. We… (More)

A definition of soft breaking of BRST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating… (More)

We consider Lie(G)-valued G-invariant connections on bundles over spaces G/H , R×G/H and R2×G/H , where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifolds R×G/H and… (More)

We consider SU(3)-equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M × SU(3)/H , with H = SU(2) × U(1) or H = U(1) × U(1). The induced rank two quiver gauge… (More)

We overcome the barrier of constructing N=4 superconformal models in one space dimension for more than three particles. The D(2, 1;α) superalgebra of our systems is realized on the coordinates and… (More)

We study the SO(4)×SU(2) invariant Q-deformation of Euclidean N =(1, 1) gauge theories in the harmonic superspace formulation. This deformation preserves chi-rality and Grassmann harmonic analyticity… (More)

Using the N=4 superspace approach in one dimension (time), we construct general N=8 supersymmetric mechanics actions for the multiplets (b,8,8−b) classified in hep-th/0406015, with the main focus on… (More)

We propose a generalization of the Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equation from Rn to an arbitrary Riemannian manifold. Its form is obtained by extending the relation of the WDVV equation… (More)