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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, it was shown that certain superpotential and Kahler potential couplings of N = 1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry.
Abstract: We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies to F-theory on a Calabi-Yau four-fold and three-fold compactifications of type II and heterotic strings with branes. The heterotic case includes a class of bundles on elliptic manifolds constructed by Friedmann, Morgan and Witten. Mirror symmetry of the four-fold computes non-perturbative corrections to mirror symmetry on the three-folds, including D-instanton corrections. We also propose a physical interpretation for the observation by Warner that relates the deformation spaces of certain matrix factorizations and the periods of non-compact 4-folds that are ALE fibrations.
72 citations
TL;DR: In this paper, the authors present a formalism for computing the Yukawa couplings in heterotic standard models, which is accomplished by calculating the relevant triple products of cohomology groups, leading to terms proportional to Q *H*u, Q*H*d, L*H *nu and L *Hbar*e in low energy superpotential.
Abstract: In this paper, we present a formalism for computing the Yukawa couplings in heterotic standard models. This is accomplished by calculating the relevant triple products of cohomology groups, leading to terms proportional to Q*H*u, Q*Hbar*d, L*H*nu and L*Hbar*e in the low energy superpotential. These interactions are subject to two very restrictive selection rules arising from the geometry of the Calabi-Yau manifold. We apply our formalism to the "minimal" heterotic standard model whose observable sector matter spectrum is exactly that of the MSSM. The non-vanishing Yukawa interactions are explicitly computed in this context. These interactions exhibit a texture rendering one out of the three quark/lepton families naturally light.
72 citations
TL;DR: In this article, a coisotropic D8-brane BPS was constructed for the case of a type IIA T6/(2? 2) orientifold, where the magnetic fluxes generated by two D8branes intersect.
Abstract: Up to now chiral type IIA vacua have been mostly based on intersecting D6-branes wrapping special Lagrangian 3-cycles on a CY3 manifold. We argue that there are additional BPS D-branes which have so far been neglected, and which seem to have interesting model-building features. They are coisotropic D8-branes, in the sense of Kapustin and Orlov. The D8-branes wrap 5-dimensional submanifolds of the CY3 which are trivial in homology, but contain a worldvolume flux that induces D6-brane charge on them. This induced D6-brane charge not only renders the D8-brane BPS, but also creates D = 4 chirality when two D8-branes intersect. We discuss in detail the case of a type IIA T6/(2 ? 2) orientifold, where we provide explicit examples of coisotropic D8-branes. We study the chiral spectrum, SUSY conditions, and effective field theory of different systems of D8-branes in this orientifold, and show how the magnetic fluxes generate a superpotential for untwisted K?hler moduli. Finally, using both D6-branes and coisotropic D8-branes we construct new examples of MSSM-like type IIA vacua.
72 citations
TL;DR: In this article, the authors derive the planar and leading non-planar contributions to the large M SO(M) and Sp (M) matrix model free energy by applying the technology of higher-genus loop equations and by straightforward diagrammatics.
Abstract: We apply the proposal of Dijkgraaf and Vafa to analyze N=1 gauge theory with SO(N) and Sp(N) gauge groups with arbitrary tree-level superpotentials using matrix model techniques. We derive the planar and leading non-planar contributions to the large M SO(M) and Sp(M) matrix model free energy by applying the technology of higher-genus loop equations and by straightforward diagrammatics. The loop equations suggest that the RP^2 free energy is given as a derivative of the sphere contribution, a relation which we verify diagrammatically. With a refinement of the proposal of Dijkgraaf and Vafa for the effective superpotential, we find agreement with field theory expectations.
72 citations
TL;DR: In this paper, consistent Kaluza-Klein reductions of type IIB supergravity on T ≥ 1,1 down to five-dimensions were studied and the Papadopoulos-Tseytlin ansatz was shown to be a consistent truncation.
Abstract: We study consistent Kaluza-Klein reductions of type IIB supergravity on T
1,1 down to five-dimensions. We find that the most general reduction containing singlets under the global SU(2) × SU(2) symmetry of T
1,1 is $ \mathcal{N} = 4 $
gauged supergravity coupled to three vector multiplets with a particular gauging due to topological and geometric flux. Key to this reduction is several modes which have not been considered before in the literature and our construction allows us to easily show that the Papadopoulos -Tseytlin ansatz for IIB solutions on T
1,1 is a consistent truncation. This explicit reduction provides an organizing principle for the linearized spectrum around the warped deformed conifold as well as the baryonic branch and should have applications to the physics of flux compactifications with warped throats.
72 citations