N=4 superparticle and super Yang-Mills theory in USp(4) harmonic superspace

Abstract

We study the N=4 harmonic superparticle model, both with and without central charge and quantize it. Since the central charge breaks the U(4) R-symmetry group of the N=4 superalgebra down to USp(4), we consider the superparticle dynamics in N=4 harmonic superspace with USp(4)/(U(1)xU(1)) harmonic variables. We show that the quantization of a massive superparticle with central charge leads to a superfield realization of the N=4 massive vector multiplet in N=4 harmonic superspace. In the massless case without central charge the superparticle quantization reproduces three different multiplets: the N=4 SYM multiplet, the N=4 gravitino multiplet and N=4 supergravity multiplet. The SYM multiplet is described by six analytic superfield strengths with different types of analyticity. We show that these strengths solve the N=4 SYM constraints and can be used for the construction of actions in N=4 harmonic superspace.

1+42 pages, references added, published version

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• Spinor moving frame, M0-brane covariant BRST quantization and intrinsic complexity of the pure spinor approach
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• Bi-harmonic superspace for N=4 d=4 super Yang-Mills
• Supersymmetric Chern-Simons models in harmonic superspaces
• Towards harmonic superfield formulation of $N=4$, $USp(4)$ SYM theory with the central charge
• Off-shell Invariant D=N=2 Twisted Super Yang-Mills Theory with a Gauged Central Charge without Constraints
• SU(4) harmonic superspace and supersymmetric gauge theory