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On Real Intrinsic Wall Crossings
High Energy Physics - Theory · Submitted 15 Nov 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular, we show that the nature of marginal and threshold walls of stabilities may be investigated by real geometric methods.
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The abstract, sentence by sentence
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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study moduli space stabilization of a class of BPS configurations from the perspective of the real intrinsic Riemannian geometry. | contribution 0.99 | 0.91 | 0.09 | asserted 0.93 |
| s1 | Our analysis exhibits a set of implications towards the stability of the D-term potentials, defined for a set of abelian scalar fields. | result 0.53 | 0.91 | 0.15 | asserted 0.83 |
| s2 | In particular, we show that the nature of marginal and threshold walls of stabilities may be investigated by real geometric methods. | result 0.61 | 0.89 | 0.26 | hedged possibility 0.66 |
| s3 | Interestingly, we find that the leading order contributions may easily be accomplished by translations of the Fayet parameter. | result 0.96 | 0.93 | 0.09 | asserted 0.53 |
| s4 | 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. | result 0.91 | 0.89 | 0.16 | hedged possibility 0.68 |
| s5 | 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. | result 0.82 | 0.67 | 0.19 | hedged possibility 0.97 |
| s6 | 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. | result 0.60 | 0.70 | 0.09 | asserted 0.99 |
| s7 | The divergences of the scalar curvature provide possible phase structures, viz., wall of stability, phase transition, if any, in the chosen moduli configuration. | interpretation 0.71 | 0.72 | 0.19 | hedged possibility 0.99 |
| s8 | The present analysis opens up a new avenue towards the stabilizations of gauge and string moduli. | interpretation 0.56 | 0.54 | 0.25 | asserted 0.63 |
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The paper
Original abstract
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.
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How the literature uses it
1 arXiv paper cite this in 1 sentence
What it cites · 86 sentences without a confident label
Cites as support 2 papers
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In fact, Refs. [ref] show that such a consideration leads to a perturbative matching between the $S_micro$ and $S_macro$, for a set of brane charges and a given mass.
Asymptotic degeneracy of dyonic N=4 string states and black hole entropy · Introduction · 0.96
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In fact, Refs. [ref] show that such a consideration leads to a perturbative matching between the $S_micro$ and $S_macro$, for a set of brane charges and a given mass.
D-brane Approach to Black Hole Quantum Mechanics · Introduction · 0.96
Cites as background 13 papers
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The general details of the Fayet models may be found in [ref] and the intrinsic geometry has been explained in [ref] .
Moduli stabilization with Fayet-Iliopoulos uplift · D-term Potentials and Real Intrinsic Geometry · 1.00
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The general details of the Fayet models may be found in [ref] and the intrinsic geometry has been explained in [ref] .
d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms · D-term Potentials and Real Intrinsic Geometry · 1.00
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The general details of the Fayet models may be found in [ref] and the intrinsic geometry has been explained in [ref] .
External Fields as Intrinsic Geometry · D-term Potentials and Real Intrinsic Geometry · 1.00
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