Nonlinear σ-models and their gauging in and out of superspace

C. M. Hull; A. Karlhede; U. Lindström; M. Roček

doi:10.1016/0550-3213(86)90175-6

Nonlinear σ-models and their gauging in and out of superspace

C. M. Hull
, A. Karlhede
, U. Lindström
, M. Roček

Institute for Theoretical Physics

Massachusetts Institute of Technology
University of California at Santa Barbara
Stockholm University

Research output: Contribution to journal › Article › peer-review

131 Scopus citations

Abstract

We analyze and generalize bosonic nonlinear σ-models and their N = 1,2 supersymmetric extensions in (4 spacetime-dimensional) N = 1 superspace. We give a general construction of nonminimal kinetic terms for gauge fields and of N = 1,2 gauging of isometries on Kähler and hyper-Kähler manifolds. In particular, we study the gauging of noncompact groups. We derive the complete component action and supertrace formula. For N = 2 models, the supertrace always vanishes.

Original language	English
Pages (from-to)	1-44
Number of pages	44
Journal	Nuclear Physics, Section B
Volume	266
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(86)90175-6
State	Published - Mar 3 1986

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abstract = "We analyze and generalize bosonic nonlinear σ-models and their N = 1,2 supersymmetric extensions in (4 spacetime-dimensional) N = 1 superspace. We give a general construction of nonminimal kinetic terms for gauge fields and of N = 1,2 gauging of isometries on K{\"a}hler and hyper-K{\"a}hler manifolds. In particular, we study the gauging of noncompact groups. We derive the complete component action and supertrace formula. For N = 2 models, the supertrace always vanishes.",

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AU - Karlhede, A.

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Y1 - 1986/3/3

N2 - We analyze and generalize bosonic nonlinear σ-models and their N = 1,2 supersymmetric extensions in (4 spacetime-dimensional) N = 1 superspace. We give a general construction of nonminimal kinetic terms for gauge fields and of N = 1,2 gauging of isometries on Kähler and hyper-Kähler manifolds. In particular, we study the gauging of noncompact groups. We derive the complete component action and supertrace formula. For N = 2 models, the supertrace always vanishes.

AB - We analyze and generalize bosonic nonlinear σ-models and their N = 1,2 supersymmetric extensions in (4 spacetime-dimensional) N = 1 superspace. We give a general construction of nonminimal kinetic terms for gauge fields and of N = 1,2 gauging of isometries on Kähler and hyper-Kähler manifolds. In particular, we study the gauging of noncompact groups. We derive the complete component action and supertrace formula. For N = 2 models, the supertrace always vanishes.

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Nonlinear σ-models and their gauging in and out of superspace

Abstract

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