Three-loop finiteness of the N = 4 supersymmetric non-linear σ model

M. Roček; P. K. Townsend

doi:10.1016/0370-2693(80)90215-4

Three-loop finiteness of the N = 4 supersymmetric non-linear σ model

M. Roček
, P. K. Townsend

Institute for Theoretical Physics

Stony Brook University

CERN

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

45 Scopus citations

Abstract

We formulate the N = 4 supersymmetric non-linear σ model (in two spacetime dimensions) in terms of N = 1 four-dimensional superfields, and give the explicit form of all supersymmetry transformations. Using supergraph techniques we show that all divergent contributions to the two-point function vanish up to the three-loop level. We also show finiteness to leading order in the 1/n expansion.

Original language	English
Pages (from-to)	72-76
Number of pages	5
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	96
Issue number	1-2
DOIs	https://doi.org/10.1016/0370-2693(80)90215-4
State	Published - 1980

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10.1016/0370-2693(80)90215-4

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title = "Three-loop finiteness of the N = 4 supersymmetric non-linear σ model",

abstract = "We formulate the N = 4 supersymmetric non-linear σ model (in two spacetime dimensions) in terms of N = 1 four-dimensional superfields, and give the explicit form of all supersymmetry transformations. Using supergraph techniques we show that all divergent contributions to the two-point function vanish up to the three-loop level. We also show finiteness to leading order in the 1/n expansion.",

author = "M. Ro{\v c}ek and Townsend, \{P. K.\}",

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AU - Townsend, P. K.

PY - 1980

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N2 - We formulate the N = 4 supersymmetric non-linear σ model (in two spacetime dimensions) in terms of N = 1 four-dimensional superfields, and give the explicit form of all supersymmetry transformations. Using supergraph techniques we show that all divergent contributions to the two-point function vanish up to the three-loop level. We also show finiteness to leading order in the 1/n expansion.

AB - We formulate the N = 4 supersymmetric non-linear σ model (in two spacetime dimensions) in terms of N = 1 four-dimensional superfields, and give the explicit form of all supersymmetry transformations. Using supergraph techniques we show that all divergent contributions to the two-point function vanish up to the three-loop level. We also show finiteness to leading order in the 1/n expansion.

UR - https://www.scopus.com/pages/publications/0002639017

U2 - 10.1016/0370-2693(80)90215-4

DO - 10.1016/0370-2693(80)90215-4

M3 - Article

SN - 0370-2693

VL - 96

SP - 72

EP - 76

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Three-loop finiteness of the N = 4 supersymmetric non-linear σ model

Abstract

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