Quantum Corrections and Extended Supersymmetry in New $\sigma$ Models

Buscher, T.H.

doi:10.1016/0370-2693(85)90870-6

Quantum Corrections and Extended Supersymmetry in New $\sigma$ Models

T.H. Buscher
(
- SUNY, Stony Brook
)

May, 1985

4 pages

Published in:

Phys.Lett.B 159 (1985) 127-130

Published: 1985

DOI:

10.1016/0370-2693(85)90870-6

Report number:

ITP-SB-85-35

View in:

ADS Abstract Service

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Abstract: (Elsevier)

It is shown that one-loop covariant counterterms for a class of N = 2 supersymmetric nonlinear σ-models with a Wess-Zumino-Witten term in two dimensions, calculated using an N = 1 superspace background-field method and the normal coordinate expansion, possess both supersymmetries of the classical action when the fields are on-shell. The full one-loop counter-action calculated with this method agrees with that calculated using a manifestly N = 2 supersymmetric perturbation theory. Members of a subclass of these models with N = 4 supersymmetry are shown ti be finite at one loop.

SUPERSYMMETRY
FIELD THEORETICAL MODEL: SIGMA
NONLINEAR
FIELD THEORY: BACKGROUND FIELD
GAUGE FIELD THEORY: ACTION
FEYNMAN GRAPH: HIGHER-ORDER

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Figures(0)

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Quantum Corrections and Extended Supersymmetry in New σ\sigmaσ Models

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Quantum Corrections and Extended Supersymmetry in New $\sigma$ Models