Hamiltonian Superfield Formalism with N Supercharges

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.

21 pages, LaTeX, reference corrected

References in corpus (7)

• Superfield algorithms for topological field theories
• Generalized Poisson sigma models
• On the "Universal" N=2 Supersymmetry of Classical Mechanics
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• Poisson structures in BRST-antiBRST invariant Lagrangian formalism
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Cited by in corpus (4)

• Local Superfield Lagrangian BRST Quantization
• An Embedding of the BV Quantization into an N=1 Local Superfield Formalism
• Generalization of Faddeev--Popov Rules in Yang--Mills Theories: N=3,4 BRST Symmetries
• Quantum localization of Classical Mechanics