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

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10303 Particles and field physics

Country of publisher

Netherlands

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

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

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Abstract

V originále

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.

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.