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Hamiltonian superfield formalism with N supercharges
Authors:IA Batalin  K Bering  
Institution:

aLebedev Physics Institute, 53 Leninisky Prospect, Moscow 119991, Russia

bUniversity of Illinois at Chicago, 845 W Taylor St. (M/C 273), Chicago, IL 60607-7059, USA

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 na in the θ-space, which the physical sector does not depend on. Also, we re-interpret the metric gab in the Susy algebra Da,Db]not, vert, similargab?t as a symplectic structure on the fermionic θ-space. This leads to a superfield formulation with a general covariant θ-space sector.
Keywords:
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