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arXiv · hep-th/0401169

Hamiltonian Superfield Formalism with N Supercharges

I. A. Batalin·K. Bering
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Abstract

An action principle that applies uniformly to any number N of supercharges is proposed. We perform the reduction to the N=0 partition function by integrating out superpartner fields. As a new feature for theories of extended supersymmetry, the canonical Pfaffian measure factor is a result of a Gaussian integration over a superpartner. This is mediated through an explicit choice of direction n^a in the θ-space, which the physical sector does not depend on. Also, we re-interpret the metric g^{ab} in the Susy algebra [D^a,D^b] = g^{ab}\partial_t as a symplectic structure on the fermionic θ-space. This leads to a superfield formulation with a general covariant θ-space sector.

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I. A. Batalin, K. Bering. 2004-02-27. Hamiltonian Superfield Formalism with N Supercharges. https://doi.org/10.1016/j.nuclphysb.2004.08.034

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