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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 article, the authors explore contributions to the 4D effective superpotential which arise from Euclidean D3 branes (instantons) that intersect space-filling D-branes.
Abstract: We explore contributions to the 4D effective superpotential which arise from Euclidean D3 branes (``instantons'') that intersect space-filling D-branes. These effects can perturb the effective field theory on the space-filling branes by nontrivial operators composed of charged matter fields, changing the vacuum structure in a qualitative way in some examples. Our considerations are exemplified throughout by a careful study of a fractional brane configuration on a del Pezzo surface.

38 citations

Journal ArticleDOI
TL;DR: In this paper, the authors studied the distribution of nonsupersymmetric flux vacua in IIb string theory compactified on Calabi-Yau manifolds, and showed that the basic structure of this problem is that of finding eigenvectors of the matrix of second derivatives of the superpotential.
Abstract: We continue the study of the distribution of nonsupersymmetric flux vacua in IIb string theory compactified on Calabi-Yau manifolds, as in hep-th/0404116. We show that the basic structure of this problem is that of finding eigenvectors of the matrix of second derivatives of the superpotential, and that many features of the results are determined by features of the generic ensemble of such matrices, the CI ensemble of Altland and Zirnbauer originating in mesoscopic physics. We study some simple examples in detail, exhibiting various factors which can favor low or high scale supersymmetry breaking.

38 citations

27 Aug 2008
TL;DR: In this paper, the authors investigated M-theory compactifications on spaces with co-dimension four, orbifold singularities and derived the Kahler potential, gauge-kinetic function and superpotential for the resulting N=1 four-dimensional theory.
Abstract: In this thesis, we explore two approaches to string phenomenology. In the first half of the work, we investigate M-theory compactifications on spaces with co-dimension four, orbifold singularities. We construct M-theory on C^2/Z_N by coupling 11-dimensional supergravity to a seven-dimensional Yang-Mills theory located on the orbifold fixed-plane. The resulting action is supersymmetric to leading non-trivial order in the 11-dim Newton constant. We thereby reduce M-theory on a G2 orbifold with C^2/Z_N singularities, explicitly incorporating the additional gauge fields at the singularities. We derive the Kahler potential, gauge-kinetic function and superpotential for the resulting N=1 four-dimensional theory. Blowing-up of the orbifold is described by a Higgs effect and the results are consistent with the corresponding ones obtained for smooth G2 spaces. Further, we consider flux and Wilson lines on singular loci of the G2 space, and discuss the relation to N=4 SYM theory. In the second half, we develop an algorithmic framework for E8 x E8 heterotic compactifications with monad bundles. We begin by considering cyclic Calabi-Yau manifolds where we classify positive monad bundles, prove stability, and compute the complete particle spectrum for all bundles. Next, we generalize the construction to bundles on complete intersection Calabi-Yau manifolds. We show that the class of positive monad bundles, subject to the heterotic anomaly condition, is finite (~7000 models). We compute the particle spectrum for these models and develop new techniques for computing the cohomology of line bundles. There are no anti-generations of particles and the spectrum is manifestly moduli-dependent. We further study the slope-stability of positive monad bundles and develop a new method for proving stability of SU(n) vector bundles.

38 citations

Journal ArticleDOI
TL;DR: In this paper, the authors used large N duality to study brane/anti-brane configurations on a class of Calabi-Yau manifolds, and they showed that the large n duality conjecture of hep-th/0610249 reproduces correctly the known qualitative features of the brane and antibrane physics.

38 citations

Journal ArticleDOI
TL;DR: In this article, two infinite families of non-Supersymmetric AdS units, called Type 2 and Type 3, were considered in massive IIA supergravity with flux and it was shown that both families are perturbatively stable.
Abstract: We consider two infinite families of Non-Supersymmetric AdS 4 vacua, called Type 2) and Type 3) vacua, that arise in massive IIA supergravity with flux. We show that both families are perturbatively stable. We then examine non-perturbative decays of these vacua to other supersymmetric and non-supersymmetric AdS 4 vacua mediated by instantons in the thin wall approximation. We find that many decays are ruled out since the tension of the interpolating domain wall is too big compared to the energy difference in AdS units. In fact, within our approximations no decays of Type 2) vacua are allowed, although some decays are only marginally forbidden. This can be understood in terms of a “pairing symmetry” in the landscape which relate Type 2) vacua with supersymmetric ones of the same energy.

38 citations


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