Hamiltonian Superfield Formalism with N Supercharges

BATALIN, Igor and Klaus BERING LARSEN. Hamiltonian Superfield Formalism with N Supercharges. NUCLEAR PHYSICS B. THE NETHERLANDS: ELSEVIER SCIENCE BV, 2004, vol. 2004, No 700, p. 439-462, 44 pp. ISSN 0550-3213. Available from: https://dx.doi.org/10.1016/j.nuclphysb.2004.08.034.

Basic information

• Original name: Hamiltonian Superfield Formalism with N Supercharges
• Authors: BATALIN, Igor (643 Russian Federation) and Klaus BERING LARSEN (208 Denmark, guarantor, belonging to the institution).
• Edition: NUCLEAR PHYSICS B, THE NETHERLANDS, ELSEVIER SCIENCE BV, 2004, 0550-3213.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10303 Particles and field physics
• Country of publisher: Netherlands
• Confidentiality degree: is not subject to a state or trade secret
• WWW: URL
• Impact factor: Impact factor: 5.819
• RIV identification code: RIV/00216224:14310/04:00039887
• Organization unit: Faculty of Science
• Doi: http://dx.doi.org/10.1016/j.nuclphysb.2004.08.034
• UT WoS: 000224934300015
• Keywords in English: GENERALIZED CANONICAL QUANTIZATION; CLASSICAL MECHANICS; GAUGE-THEORIES; CONSTRAINTS
• Tags: International impact, Reviewed

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 \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.

Abstract (in Czech)

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.