Eleven-Dimensional Supergravity in 4D, $N=1$ Superspace
Autor: | Katrin Becker, Melanie Becker, Sunny Guha, William D. Linch, Daniel Robbins, Daniel Butter |
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Jazyk: | angličtina |
Rok vydání: | 2017 |
Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Kaluza–Klein theory FOS: Physical sciences Superspace 01 natural sciences Superspaces General Relativity and Quantum Cosmology High Energy Physics::Theory Tensor (intrinsic definition) 0103 physical sciences Differential and Algebraic Geometry lcsh:Nuclear and particle physics. Atomic energy. Radioactivity Gauge theory 010306 general physics Multiplet Mathematical physics Physics 010308 nuclear & particles physics Extended Supersymmetry Supergravity High Energy Physics::Phenomenology Nonlinear Sciences::Exactly Solvable and Integrable Systems High Energy Physics - Theory (hep-th) lcsh:QC770-798 Gravitino Superconformal algebra Supergravity Models |
Zdroj: | Journal of High Energy Physics Journal of High Energy Physics, Vol 2017, Iss 11, Pp 1-44 (2017) |
Popis: | We give a formulation of linearized 11D supergravity in 4D, $N=1$ superspace keeping all eleven bosonic coordinates. The fields are fluctuations around $\mathbf M=\mathbf R^{4|4}\times Y$, where $Y$ is a background Riemannian 7-manifold admitting a $G_2$ structure. We embed the 11D fields into superfield representations of the 4D, $N=1$ superconformal algebra. These consist of the conformal graviton superfield, seven conformal gravitino superfields, a tensor hierarchy of superfields describing the 11D 3-form, and a non-abelian Kaluza-Klein vector multiplet gauging the tensor hierarchy by diffeomorphisms on $Y$. The quadratic action consists of the linearization of a superspace volume term and a Chern-Simons action for the gauged hierarchy coupled to the supergravity and gravitino superfields, and the full structure is fixed by superconformal and gauge invariance. When this action is projected to components, we recover the full linearized action of 11D supergravity. 33+16 pages |
Databáze: | OpenAIRE |
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