Hamiltonian Superfield Formalism with N Supercharges

Details Hamiltonian Superfield Formalism with N Supercharges Hamiltonian Superfield Formalism with N Supercharges

2004-01-23

arxiv.org/abs/hep-th/0401169v4

Nucl.Phys. B700 (2004) 439-462

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX, reference corrected

Scientific paper

10.1016/j.nuclphysb.2004.08.034

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 \theta-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 \theta-space. This leads to a superfield formulation with a general covariant \theta-space sector.

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