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On Real Intrinsic Wall Crossings
We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a set of abelian scalar fields. In particular, we show that the...
Autores principales: | , |
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Formato: | info:eu-repo/semantics/article |
Lenguaje: | eng |
Publicado: |
Int. J. Mod. Phys. A
2010
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Materias: | |
Acceso en línea: | https://dx.doi.org/10.1142/S0217751X11054917 http://cds.cern.ch/record/1307421 |
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author | Bellucci, Stefano Tiwari, Bhupendra Nath |
author_facet | Bellucci, Stefano Tiwari, Bhupendra Nath |
author_sort | Bellucci, Stefano |
collection | CERN |
description | We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a set of abelian scalar fields. In particular, we show that the nature of marginal and threshold walls of stabilities may be investigated by real geometric methods. Interestingly, we find that the leading order contributions may easily be accomplished by translations of the Fayet parameter. Specifically, we notice that the various possible linear, planar, hyper-planar and the entire moduli space stabilities may easily be reduced to certain polynomials in the Fayet parameter. For a set of finitely many real scalar fields, it may be further inferred that the intrinsic scalar curvature defines the global nature and range of vacuum correlations. Whereas, the underlying moduli space configuration corresponds to a non-interacting basis at the zeros of the scalar curvature, where the scalar fields become un-correlated. The divergences of the scalar curvature provide possible phase structures, viz., wall of stability, phase transition, if any, in the chosen moduli configuration. The present analysis opens up a new avenue towards the stabilizations of gauge and string moduli. |
format | info:eu-repo/semantics/article |
id | cern-1307421 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2010 |
publisher | Int. J. Mod. Phys. A |
record_format | invenio |
spelling | cern-13074212021-05-03T20:20:35Z doi:10.1142/S0217751X11054917 http://cds.cern.ch/record/1307421 eng Bellucci, Stefano Tiwari, Bhupendra Nath On Real Intrinsic Wall Crossings Particle Physics - Theory We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a set of abelian scalar fields. In particular, we show that the nature of marginal and threshold walls of stabilities may be investigated by real geometric methods. Interestingly, we find that the leading order contributions may easily be accomplished by translations of the Fayet parameter. Specifically, we notice that the various possible linear, planar, hyper-planar and the entire moduli space stabilities may easily be reduced to certain polynomials in the Fayet parameter. For a set of finitely many real scalar fields, it may be further inferred that the intrinsic scalar curvature defines the global nature and range of vacuum correlations. Whereas, the underlying moduli space configuration corresponds to a non-interacting basis at the zeros of the scalar curvature, where the scalar fields become un-correlated. The divergences of the scalar curvature provide possible phase structures, viz., wall of stability, phase transition, if any, in the chosen moduli configuration. The present analysis opens up a new avenue towards the stabilizations of gauge and string moduli. info:eu-repo/grantAgreement/EC/FP7/226455 info:eu-repo/semantics/openAccess Education Level info:eu-repo/semantics/article http://cds.cern.ch/record/1307421 Int. J. Mod. Phys. A Int. J. Mod. Phys. A, (2011) pp. 5171-5209 2010-11-16 |
spellingShingle | Particle Physics - Theory Bellucci, Stefano Tiwari, Bhupendra Nath On Real Intrinsic Wall Crossings |
title | On Real Intrinsic Wall Crossings |
title_full | On Real Intrinsic Wall Crossings |
title_fullStr | On Real Intrinsic Wall Crossings |
title_full_unstemmed | On Real Intrinsic Wall Crossings |
title_short | On Real Intrinsic Wall Crossings |
title_sort | on real intrinsic wall crossings |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1142/S0217751X11054917 http://cds.cern.ch/record/1307421 http://cds.cern.ch/record/1307421 |
work_keys_str_mv | AT belluccistefano onrealintrinsicwallcrossings AT tiwaribhupendranath onrealintrinsicwallcrossings |