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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 consider compactifications of type I strings on Abelian orbifolds with D9-brane only and discuss the tadpole cancellation conditions for the general case with D5-branes only.
54 citations
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TL;DR: In this paper, the glueball superpotentials for four-dimensional, N = 1 supersymmetric gauge theories with arbitrary gauge groups and massive matter representations were computed. But the gluepotential terms for low powers of glueball fields were not defined.
Abstract: We compute glueball superpotentials for four-dimensional, N=1 supersymmetric gauge theories, with arbitrary gauge groups and massive matter representations. This is done by perturbatively integrating out massive, charged fields. The Feynman diagram computations simplify, and are related to the corresponding matrix model. This leads to a natural notion of ``projection to planar diagrams'' for arbitrary gauge groups and representations. We discuss a general ambiguity in the glueball superpotential W(S) for terms, S^n, whose order, n, is greater than the dual Coxeter number. This ambiguity can be resolved for all classical gauge groups, (A,B,C,D), via a natural embedding in an infinite rank supergroup. We use this to address some recently raised puzzles. For exceptional groups, we compute the superpotential terms for low powers of the glueball field and propose an all-order completion for some examples including N=1^* for all simply-laced groups. We also comment on compactification of these theories to lower dimensions.
54 citations
TL;DR: In this article, the authors used fake supergravity as a solution generating technique to obtain a continuum of non-supersymmetric asymptotically AdS4 × S7 domain wall solutions of eleven-dimensional supergravity with non-trivial scalars in the SL(8,)/SO(8) coset.
Abstract: We use fake supergravity as a solution generating technique to obtain a continuum of non-supersymmetric asymptotically AdS4 × S7 domain wall solutions of eleven-dimensional supergravity with non-trivial scalars in the SL(8,)/SO(8) coset. These solutions are continuously connected to the supersymmetric domain walls describing a uniform sector of the Coulomb branch of the M2-brane theory. We also provide a general argument that under certain conditions identifies the fake superpotential with the exact large-N quantum effective potential of the dual theory, describing a marginal multi-trace deformation. This identification strongly motivates further study of fake supergravity as a solution generating method and it allows us to interpret our non-supersymmetric solutions as a family of marginal triple-trace deformations of the Coulomb branch that completely break supersymmetry and to calculate the exact large-N anomalous dimensions of the operators involved. The holographic one- and two-point functions for these solutions are also computed.
54 citations
TL;DR: In this article, the Toda lattice hierarchy is discussed in connection with the topological description of the c = 1 string theory compactified at the self-dual radius.
54 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.
54 citations