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Superpotential

About: Superpotential is a research topic. Over the lifetime, 3836 publications have been published within this topic receiving 137867 citations.


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TL;DR: In this paper, it has been shown that the couplings of heavy Kaluza-Klein modes to light states scale with the internal volume of the moduli and that consistency of the superspace derivative expansion requires gF/M isEnabled 2 ~ m isEnabled 3/2π /M isEnabled KK isEnabled ≪ 1, where F is the auxiliary field of the light fields and M the ultraviolet cutoff.
Abstract: The magnitude of the flux superpotential W flux plays a crucial role in determining the scales of IIB string compactifications after moduli stabilisation. It has been argued that values of W flux ≪ 1 are preferred, and even required for physical and consistency reasons. This note revisits these arguments. We establish that the couplings of heavy Kaluza-Klein modes to light states scale with the internal volume as g ~ M KK /M P ~ $ \mathcal{V} $ −2/3 ≪ 1 and argue that consistency of the superspace derivative expansion requires gF/M 2 ~ m 3/2 /M KK ≪ 1, where F is the auxiliary field of the light fields and M the ultraviolet cutoff. This gives only a mild constraint on the flux superpotential, W flux ≪ $ \mathcal{V} $ 1/3, which can be easily satisfied for $ \mathcal{O} $ (1) values of W flux. This regime is also statistically favoured and makes the Bousso-Polchinski mechanism for the vacuum energy hierarchically more efficient.

76 citations

Journal ArticleDOI
TL;DR: In this article, the authors consider extensions of minimal GMSB that include marginal MSSM-messenger superpotential interactions and derive general formulas for the soft masses in the presence of such interactions.
Abstract: In order to achieve maximal stop mixing and m_h=125 GeV, we consider extensions of minimal GMSB that include marginal MSSM-messenger superpotential interactions. Using a new approach to analytic continuation in superspace, we derive general formulas for the soft masses in the presence of such interactions, correctly taking into account the role of MSSM-messenger mixing in a general framework for the first time. We classify and catalog all possible such interactions consistent with perturbative SU(5) unification, and we survey the impact of turning on one interaction at a time, from the point of view of fine tuning, spectrum and phenomenology. We find that the best models are fine-tuned to the sub-percent level and are accessible at the 14 TeV LHC. We highlight potential search strategies that can probe the characteristic spectra of these models.

75 citations

Journal ArticleDOI
TL;DR: In this article, the authors give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings, including the A-infinity relations and the homotopy version of bulk-boundary crossing symmetry.
Abstract: We give a systematic derivation of the consistency conditions which constrain open-closed disk amplitudes of topological strings. They include the A-infinity relations (which generalize associativity of the boundary product of topological field theory), as well as certain homotopy versions of bulk-boundary crossing symmetry and Cardy constraint. We discuss integrability of amplitudes with respect to bulk and boundary deformations, and write down the analogs of WDVV equations for the space-time superpotential. We also study the structure of these equations from a string field theory point of view. As an application, we determine the effective superpotential for certain families of D-branes in B-twisted topological minimal models, as a function of both closed and open string moduli. This provides an exact description of tachyon condensation in such models, which allows one to determine the truncation of the open string spectrum in a simple manner.

75 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated half-supersymmetric domain wall solutions of four maximally supersymmetric D = 9 massive supergravity theories obtained by Scherk-Schwarz reduction of D=10 IIA and IIB supergravity.
Abstract: We investigate half-supersymmetric domain wall solutions of four maximally supersymmetric D=9 massive supergravity theories obtained by Scherk-Schwarz reduction of D=10 IIA and IIB supergravity. One of the theories does not have a superpotential and does not allow domain wall solutions preserving any supersymmetry. The other three theories have superpotentials leading to half-supersymmetric domain wall solutions, one of which has zero potential but non-zero superpotential. The uplifting of these domain wall solutions to ten dimensions leads to three classes of half-supersymmetric Type IIB 7-brane solutions. All solutions within each class are related by SL(2,R) transformations. The three classes together contain solutions carrying all possible (quantised) 7-brane charges. One class contains the well-known D7-brane solution and its dual partners and we provide the explicit solutions for the other two classes. The domain wall solution with zero potential lifts up to a half-supersymmetric conical space-time.

75 citations

Journal ArticleDOI
TL;DR: In this paper, the authors consider the possibility that the same singlet S that pairs up with the bino to form a Dirac fermion, is used to generate it and bit terms through its vacuum expectation value.

75 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202344
2022115
202175
202094
201994
2018101