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N=2 Harmonic Superforms, Multiplets and Actions

Tirthabir Biswas·Warren Siegel
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Abstract

In this paper we develop the formalism to study superforms in N=2 harmonic superspace. We perform a thorough (if not complete) analysis of the superforms starting from 0-form and moving all the way up to 6-form. Like the N=1 case we find that the lower superforms (0,1,2,3) describe the various important N=2 supermultiplets. Also, the forms form chains, the field strength of 0-form being related to the gauge form of the 1-form, and so on. However, an important difference with the N=1 case is that there is now more than one chain. Our main aim was to study the higher-forms (4,5,6) to obtain the various N=2 action formulas via the ectoplasmic approach. Indeed, we reproduce the three known action formulas involving a volume integral, a contour integral and no integral over the harmonic subspace from the 6, 5 and 4-form analysis respectively. The next aim is to generalize the analysis to curved space-time (supergravity).

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Tirthabir Biswas, Warren Siegel. 2001-06-06. N=2 Harmonic Superforms, Multiplets and Actions. https://doi.org/10.1088/1126-6708%2F2001%2F11%2F004

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