Locally supersymmetric D = 3 non-linear sigma models

We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it gene...

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Detalles Bibliográficos
Autores principales: de Wit, B., Tollsten, A.K., Nicolai, H.
Lenguaje:eng
Publicado: 1993
Materias:
General Theoretical Physics
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/0550-3213(93)90195-U
http://cds.cern.ch/record/241142
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author de Wit, B.
Tollsten, A.K.
Nicolai, H.
author_facet de Wit, B.
Tollsten, A.K.
Nicolai, H.
author_sort de Wit, B.
collection CERN
description We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.
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spelling cern-2411422023-03-14T19:28:05Zdoi:10.1016/0550-3213(93)90195-Uhttp://cds.cern.ch/record/241142engde Wit, B.Tollsten, A.K.Nicolai, H.Locally supersymmetric D = 3 non-linear sigma modelsGeneral Theoretical PhysicsParticle Physics - TheoryWe study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N=1 and 2 the target space of these models is Riemannian or Kahler, respectively. All N>2 theories are associated with Einstein spaces. For N=3 the target space is quaternionic, while for N=4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N=5,6,8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N=9,10,12 and 16, associated with coset spaces with the exceptional isometry groups $F_{4(-20)}$, $E_{6(-14)}$, $E_{7(-5)}$ and $E_{16(+8)}$, respectively. For $N=3$ and $N\geq5$ the $D=2$ theories obtained by dimensional reduction are two-loop finite.We study non-linear sigma models with N local supersymmetries in three space-time dimensions. For N = 1 and 2 the target space of these models is riemannian or Kähler, respectively. All N > 2 theories are associated with Einstein spaces. For N = 3 the target space is quaternionic, while for N = 4 it generally decomposes into two separate quaternionic spaces, associated with inequivalent supermultiplets. For N = 5, 6, 8 there is a unique (symmetric) space for any given number of supermultiplets. Beyond that there are only theories based on a single supermultiplet for N = 9, 10, 12 and 16, associated with coset spaces with the exceptional isometry groups F 4(−20) , E 6(−14) , E 7(−5) and E 8(+8) , respectively. For N = 3 and N ⩾ 5 the D = 2 theories obtained by dimensional reduction are two-loop finite.hep-th/9208074CERN-TH-6612-92THU-92-18CERN-TH-6612-92THU-92-18oai:cds.cern.ch:2411421993
spellingShingle General Theoretical Physics
Particle Physics - Theory
de Wit, B.
Tollsten, A.K.
Nicolai, H.
Locally supersymmetric D = 3 non-linear sigma models
title Locally supersymmetric D = 3 non-linear sigma models
title_full Locally supersymmetric D = 3 non-linear sigma models
title_fullStr Locally supersymmetric D = 3 non-linear sigma models
title_full_unstemmed Locally supersymmetric D = 3 non-linear sigma models
title_short Locally supersymmetric D = 3 non-linear sigma models
title_sort locally supersymmetric d = 3 non-linear sigma models
topic General Theoretical Physics
Particle Physics - Theory
url https://dx.doi.org/10.1016/0550-3213(93)90195-U
http://cds.cern.ch/record/241142
work_keys_str_mv AT dewitb locallysupersymmetricd3nonlinearsigmamodels
AT tollstenak locallysupersymmetricd3nonlinearsigmamodels
AT nicolaih locallysupersymmetricd3nonlinearsigmamodels

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