Curvatures and potential of M-theory in D=4 with fluxes and twist

We give the curvatures of the free differential algebra (FDA) of M--theory compactified to D=4 on a twisted seven--torus with the 4--form flux switched on. Two formulations are given, depending on whether the 1--form field strengths of the scalar fields (originating from the 3--form gauge field $\ha...

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Detalles Bibliográficos
Autores principales: D'Auria, R., Ferrara, S., Trigiante, M.
Lenguaje:eng
Publicado: 2005
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1088/1126-6708/2005/09/035
http://cds.cern.ch/record/858173
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author D'Auria, R.
Ferrara, S.
Trigiante, M.
author_facet D'Auria, R.
Ferrara, S.
Trigiante, M.
author_sort D'Auria, R.
collection CERN
description We give the curvatures of the free differential algebra (FDA) of M--theory compactified to D=4 on a twisted seven--torus with the 4--form flux switched on. Two formulations are given, depending on whether the 1--form field strengths of the scalar fields (originating from the 3--form gauge field $\hat{A}^{(3)}$) are included or not in the FDA. We also give the bosonic equations of motion and discuss at length the scalar potential which emerges in this type of compactifications. For flat groups we show the equivalence of this potential with a dual formulation of the theory which has the full $\rE_{7(7)}$ symmetry.
id cern-858173
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2005
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spelling cern-8581732023-03-14T20:25:52Zdoi:10.1088/1126-6708/2005/09/035http://cds.cern.ch/record/858173engD'Auria, R.Ferrara, S.Trigiante, M.Curvatures and potential of M-theory in D=4 with fluxes and twistParticle Physics - TheoryWe give the curvatures of the free differential algebra (FDA) of M--theory compactified to D=4 on a twisted seven--torus with the 4--form flux switched on. Two formulations are given, depending on whether the 1--form field strengths of the scalar fields (originating from the 3--form gauge field $\hat{A}^{(3)}$) are included or not in the FDA. We also give the bosonic equations of motion and discuss at length the scalar potential which emerges in this type of compactifications. For flat groups we show the equivalence of this potential with a dual formulation of the theory which has the full $\rE_{7(7)}$ symmetry.We give the curvatures of the free differential algebra (FDA) of M--theory compactified to D=4 on a twisted seven--torus with the 4--form flux switched on. Two formulations are given, depending on whether the 1--form field strengths of the scalar fields (originating from the 3--form gauge field $\hat{A}^{(3)}$) are included or not in the FDA. We also give the bosonic equations of motion and discuss at length the scalar potential which emerges in this type of compactifications. For flat groups we show the equivalence of this potential with a dual formulation of the theory which has the full $\rE_{7(7)}$ symmetry.hep-th/0507225CERN-PH-TH-2005-135CERN-PH-TH-2005-135oai:cds.cern.ch:8581732005-07-22
spellingShingle Particle Physics - Theory
D'Auria, R.
Ferrara, S.
Trigiante, M.
Curvatures and potential of M-theory in D=4 with fluxes and twist
title Curvatures and potential of M-theory in D=4 with fluxes and twist
title_full Curvatures and potential of M-theory in D=4 with fluxes and twist
title_fullStr Curvatures and potential of M-theory in D=4 with fluxes and twist
title_full_unstemmed Curvatures and potential of M-theory in D=4 with fluxes and twist
title_short Curvatures and potential of M-theory in D=4 with fluxes and twist
title_sort curvatures and potential of m-theory in d=4 with fluxes and twist
topic Particle Physics - Theory
url https://dx.doi.org/10.1088/1126-6708/2005/09/035
http://cds.cern.ch/record/858173
work_keys_str_mv AT dauriar curvaturesandpotentialofmtheoryind4withfluxesandtwist
AT ferraras curvaturesandpotentialofmtheoryind4withfluxesandtwist
AT trigiantem curvaturesandpotentialofmtheoryind4withfluxesandtwist

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