Topic
Harmonic superspace
About: Harmonic superspace is a research topic. Over the lifetime, 511 publications have been published within this topic receiving 12138 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, a new approach to N = 2 supersymmetry based on the concept of harmonic superspace is proposed and is used to give an unconstrained superfield geometric description of N=2 super Yang-Mills and supergravity theories as well as of matter N =2 hypermultiplets.
Abstract: A new approach to N=2 supersymmetry based on the concept of harmonic superspace is proposed and is used to give an unconstrained superfield geometric description of N=2 super Yang-Mills and supergravity theories as well as of matter N=2 hypermultiplets. The harmonic N=2 superspace has an independent coordinates, in addition to the usual ones, the isospinor harmonics ui+or- on the sphere SU(2)/U(1). The role of ui+or- is to relate the SU(2) group realised on the component fields to a U(1) group acting on the relevant superfields. Their introduction makes it possible to SU(2)-covariantise the notion of Grassmann analyticity. Crucial for the construction is the existence of an analytic subspace of the general harmonic N=2 superspace. The hypermultiplet superfields and the true prepotentials (pre-prepotentials) of N=2 super Yang-Mills and supergravity are unconstrained superfunctions over this analytic subspace. The pre-prepotentials have a clear geometric interpretation as gauge connections with respect to the internal SU(2)/U(1) directions. A radically new feature arises: the number of gauge and auxiliary degrees of freedom becomes infinite while the number of physical degrees of freedom remains finite. Other new results are the massive N=2 Yang-Mills theory and various off-shell self-interactions of hypermultiplets. The propagators for matter and Yang-Mills superfields are given.
1,071 citations
TL;DR: In this paper, the geometrical aspects of the vacua and their relation to twistor space, W∞, harmonic superspace and the superstring world-sheet are discussed.
468 citations
1 Jan 1999
TL;DR: In this article, a short survey of some aspects of harmonic superspace is given, in particular, the $d=3, N=8$ scalar supermultiplet and the tensor multiplet are described as analytic superfields in appropriately defined harmonic superspaces.
Abstract: A short survey of some aspects of harmonic superspace is given In particular, the $d=3, N=8$ scalar supermultiplet and the $d=6, N=(2,0)$ tensor multiplet are described as analytic superfields in appropriately defined harmonic superspaces
349 citations
TL;DR: In this article, the N = 2 superspace action for self-interacting tensor multiplets in four dimensions was studied and the relation to the harmonic superspace was discussed.
339 citations
TL;DR: In this paper, an analytic N = 3 supersymmetry Yang-Mills theory is defined in an analytic superspace having M4(X)SU(3)/(U(1)(X)U( 1)) as an even part.
Abstract: Harmonic superspace is used to build up an unconstrained off-shell formulation of N=3 supersymmetry Yang-Mills theory. The theory is defined in an analytic N=3 superspace having M4(X)SU(3)/(U(1)(X)U(1)) as an even part. The basic objects are the analytic potentials which serve as gauge connections entering harmonic derivatives. The action is an integral over analytic superspace. The Lagrange density is surprisingly simple and it is gauge invariant up to total harmonic derivative. The equations of motion are integrability conditions on the internal space SU(3)/U(1)(X)U(1). It is the infinite set of auxiliary fields that allows the authors to overcome the 'N=3 barrier'.
243 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2021 | 8 |
| 2020 | 14 |
| 2019 | 4 |
| 2018 | 10 |
| 2017 | 14 |
| 2016 | 12 |