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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, the authors compare the modular superpotential with dual heterotic models and show how a heterotic super-potential matching the F theory computation is built up by world sheet instantons.
Abstract: We compare the N = 1F theory compactification of Donagi, Grassi and Witten with modular superpotential — and some closely related models — to dual heterotic models. We read of the F theory spectrum from the cohomology of the fourfold and discuss on the heterotic side the gauge bundle moduli sector (including the spectral surface) and the necessary fivebranes. Then we consider the N = 1 superpotential and show how a heterotic superpotential matching the F theory computation is built up by world sheet instantons. Finally we discuss how the original modular superpotential should be corrected by an additional modular correction factor, which on the F theory side matches nicely with a "curve counting function" for the del Pezzo surface. On the heterotic side we derive the same factor demanding correct T duality transformation properties of the superpotential.
55 citations
TL;DR: In this article, the Gromov-Witten invariants of homology classes with torsion were derived for a Calabi-Yau threefold with fundamental group π 1 ( X ) = Z 3 × Z 3.
55 citations
TL;DR: In this paper, the authors consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint and show that the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable.
Abstract: We consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint. We show that in such models the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable. We analyze vector-like models with gauge groups SU(N) and Sp(2N) with and without global symmetries. In all cases there is a stable minimum at the origin with an unbroken U(1)_R symmetry.
55 citations
TL;DR: In this paper, the problem of finding gravity duals to field theories with non-vanishing abelian superpotential was reduced to a single generalized Monge-Ampere equation on the generalized Kahler potential.
Abstract: We consider supersymmetric \({\mathcal{N} = 2}\) solutions with non–vanishing NS three–form. Building on worldsheet results, we reduce the problem to a single generalized Monge–Ampere equation on the generalized Kahler potential K recently interpreted geometrically by Lindstrom, Rocek, Von Unge and Zabzine. One input in the procedure is a holomorphic function w that can be thought of as the effective superpotential for a D3 brane probe. The procedure is hence likely to be useful for finding gravity duals to field theories with non–vanishing abelian superpotential, such as Leigh–Strassler theories. We indeed show that a purely NS precursor of the Lunin–Maldacena dual to the β–deformed \({\mathcal{N} = 4}\) super–Yang–Mills falls in our class.
55 citations
TL;DR: In this article, the authors study RG flows of two-level Chern-Simons matter theories with/without flavors induced by the most general marginal superpotential compatible with N=2 supersymmetry.
Abstract: According to the AdS4/CFT3 correspondence, N=2 supersymmetric Chern-Simons matter theories should have a stable fixed point in the infrared. In order to support this prediction we study RG flows of two-level Chern-Simons matter theories with/without flavors induced by the most general marginal superpotential compatible with N=2 supersymmetry. At two loops we determine the complete spectrum of fixed points and study their IR stability. Our analysis covers a large class of models including perturbations of the ABJM/ABJ theories with and without flavors, N=2,3 theories with different CS levels corresponding to turning on a Romans mass and beta-deformations. In all cases we find curves (or surfaces) of fixed points which are globally IR stable but locally unstable in the following sense: The system has only one direction of stability which in the ABJM case coincides with the maximal global symmetry preserving perturbation, whereas along any other direction it flows to a different fixed point on the surface. The question of conformal invariance vs. finiteness is also addressed: While in general vanishing beta-functions imply two-loop finiteness, we find a particular set of flavored theories where this is no longer true.
55 citations