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Quantum Lift of Non-BPS Flat Directions

We study N=2, d=4 attractor equations for the quantum corrected two-moduli prepotential $\mathcal{F}=st^2+i\lambda$, with $\lambda$ real, which is the only correction which preserves the axion shift symmetry and modifies the geometry. In the classical case the black hole effective potential is known...

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Detalles Bibliográficos
Autores principales: Bellucci, S, Ferrara, S, Marrani, A, Shcherbakov, A
Lenguaje:eng
Publicado: 2008
Materias:
Acceso en línea:https://dx.doi.org/10.1016/j.physletb.2008.12.059
http://cds.cern.ch/record/1141402
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author Bellucci, S
Ferrara, S
Marrani, A
Shcherbakov, A
author_facet Bellucci, S
Ferrara, S
Marrani, A
Shcherbakov, A
author_sort Bellucci, S
collection CERN
description We study N=2, d=4 attractor equations for the quantum corrected two-moduli prepotential $\mathcal{F}=st^2+i\lambda$, with $\lambda$ real, which is the only correction which preserves the axion shift symmetry and modifies the geometry. In the classical case the black hole effective potential is known to have a flat direction. We found that in the presence of D0-D6 branes the black hole potential exhibits a flat direction in the quantum case as well. It corresponds to non-BPS $Z\neq 0$ solutions to the attractor equations. Unlike the classical case, the solutions acquire non-zero values of the axion field. For the cases of D0-D4 and D2-D6 branes the classical flat direction reduces to separate critical points which turn out to have a vanishing axion field.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11414022019-09-30T06:29:59Zdoi:10.1016/j.physletb.2008.12.059http://cds.cern.ch/record/1141402engBellucci, SFerrara, SMarrani, AShcherbakov, AQuantum Lift of Non-BPS Flat DirectionsParticle Physics - TheoryWe study N=2, d=4 attractor equations for the quantum corrected two-moduli prepotential $\mathcal{F}=st^2+i\lambda$, with $\lambda$ real, which is the only correction which preserves the axion shift symmetry and modifies the geometry. In the classical case the black hole effective potential is known to have a flat direction. We found that in the presence of D0-D6 branes the black hole potential exhibits a flat direction in the quantum case as well. It corresponds to non-BPS $Z\neq 0$ solutions to the attractor equations. Unlike the classical case, the solutions acquire non-zero values of the axion field. For the cases of D0-D4 and D2-D6 branes the classical flat direction reduces to separate critical points which turn out to have a vanishing axion field.arXiv:0811.3494CERN-PH-TH-2008-092oai:cds.cern.ch:11414022008-11-24
spellingShingle Particle Physics - Theory
Bellucci, S
Ferrara, S
Marrani, A
Shcherbakov, A
Quantum Lift of Non-BPS Flat Directions
title Quantum Lift of Non-BPS Flat Directions
title_full Quantum Lift of Non-BPS Flat Directions
title_fullStr Quantum Lift of Non-BPS Flat Directions
title_full_unstemmed Quantum Lift of Non-BPS Flat Directions
title_short Quantum Lift of Non-BPS Flat Directions
title_sort quantum lift of non-bps flat directions
topic Particle Physics - Theory
url https://dx.doi.org/10.1016/j.physletb.2008.12.059
http://cds.cern.ch/record/1141402
work_keys_str_mv AT belluccis quantumliftofnonbpsflatdirections
AT ferraras quantumliftofnonbpsflatdirections
AT marrania quantumliftofnonbpsflatdirections
AT shcherbakova quantumliftofnonbpsflatdirections