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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 large-N limit of the class of U(N) = 1 SUSY gauge theories with an adjoint scalar and a superpotential W(Φ) was studied, and the expectation values were determined by a master matrix Φ0 with eigenvalue distribution ρGT(λ).
Abstract: We study the large-N limit of the class of U(N) = 1 SUSY gauge theories with an adjoint scalar and a superpotential W(Φ). In each of the vacua of the quantum theory, the expectation values are determined by a master matrix Φ0 with eigenvalue distribution ρGT(λ). ρGT(λ) is quite distinct from the eigenvalue distribution ρMM(λ) of the corresponding large-N matrix model proposed by Dijkgraaf and Vafa. Nevertheless, it has a simple form on the auxiliary riemann surface of the matrix model. Thus the underlying geometry of the matrix model leads to a definite prescription for computing ρGT(λ), knowing ρMM(λ).
44 citations
TL;DR: In this paper, the authors consider the holographic dual of a general class of N = 1 ∗ flows in which all three chiral multiplets have independent masses, and in which the corresponding Yang-Mills scalars can develop particular supersymmetry-preserving vevs.
44 citations
TL;DR: In this paper, the role of approximate U(1)R symmetries for the understanding of hierarchies in Nature is discussed, and various examples in field theory and string-derived models are presented.
Abstract: We discuss the role of approximate U(1)_R symmetries for the understanding of hierarchies in Nature. Such symmetries may explain a suppressed expectation value of the superpotential and provide us with a solution to the MSSM mu problem. We present various examples in field theory and string-derived models.
44 citations
TL;DR: In this article, the Ward identities derived from the generalized Konishi anomaly were used to compute effective superpotentials for SU(N), SO(N) and $Sp(N)-$ supersymmetric gauge theories coupled to matter in various representations.
Abstract: We use Ward identities derived from the generalized Konishi anomaly in order to compute effective superpotentials for SU(N), SO(N) and $Sp(N)$ supersymmetric gauge theories coupled to matter in various representations. In particular we focus on cubic and quartic tree level superpotentials. With this technique higher order corrections to the perturbative part of the effective superpotential can be easily evaluated.
44 citations
TL;DR: In this paper, the tension of the vortices and conditions for mutually BPS are derived in field theory and also in quiver theories, and a T-dual picture may be used in which monopoles are classified by quiver diagrams with two colors of vertices.
Abstract: There are three types of monopole in gauge theories with fundamental matter and N = 2 supersymmetry broken by a superpotential. There are unconfined 0-monopoles and also 1 and 2-monopoles confined respectively by one or two vortices transforming under distinct components of the unbroken gauge group. If a Fayet-Iliopoulos term is added then there are only 2-monopoles. Monopoles transform in the bifundamental representation of two components of the unbroken gauge symmetry, and if two monopoles share a component they may form a boundstate. Selection rules for this process are found, for example vortex number is preserved modulo 2. We find the tensions of the vortices, which are in general distinct, and also the conditions under which vortices are mutually BPS. Results are derived in field theory and also in MQCD, and in quiver theories a T-dual picture may be used in which monopoles are classified by quiver diagrams with two colors of vertices. © SISSA/ISAS 2005.
44 citations