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Everything about Superspace
Base space for supersymmetric theories
Superspace is the coordinate space of a theory exhibiting supersymmetry. In such a formulation, along with ordinary space dimensions, there are also "anticommuting" dimensions whose coordinates are labeled in Grassmann numbers rather than real numbers. The ordinary space dimensions correspond to bosonic degrees of freedom, the anticommuting dimensions to fermionic degrees of freedom. Wikipedia →
🧠Start here: a 6-step reading path
- Read the overview: SuperspaceA 5-minute orientation
- Skim a recent paper: Spinning correlators in $$ \mathcal{N} $$ = 2 SCFTs: Superspace and AdS amplitudesInfluential work since 2022
- Pick up a classic book: The Songs of Distant EarthThe most-reprinted book on the subject
- Read the landmark paper: Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspaceCited 757 times
- Go sideways: SupermultipletA closely related topic
- Go sideways: Super Minkowski spaceA closely related topic
đź“– Definitions
Noun A coordinate space invoked in supersymmetry
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspace
Light-cone superspace and the ultraviolet finiteness of the N=4 model
Rigid supersymmetric theories in curved superspace
The superspace groups for incommensurate crystal structures with a one-dimensional modulation
Superspace duality in low-energy superstrings
Quantum superspace
Superspace formulation of supergravity
Higher dimensional supersymmetry in 4D superspace
🆕 Influential since 2022
Spinning correlators in $$ \mathcal{N} $$ = 2 SCFTs: Superspace and AdS amplitudes
Curvature-squared invariants of minimal five-dimensional supergravity from superspace
M5-brane in the superspace approach
Flux quantization on 11-dimensional superspace
New aspects of the Z2Ă—Z2-graded 1D superspace: Induced strings and 2D relativistic models
đź“š Books worth reading
The Songs of Distant EarthArthur C. Clarke · 1986
Other WorldsPaul Davies · 1980
Harmonic SuperspaceA. S. Galperin, E. A. Ivanov · 2001
Mathematical Aspects of SuperspaceH.J. Seifert, C.J.S. Clarke · 1984
Ideas and methods of supersymmetry and supergravity, or, A walk through superspaceI. L. Buchbinder, Sergei M. Kuzenko · 1995
Aperiodic CrystalsSiegbert Schmid · 2013
Harmonic superspaceA. S. Galperin, E. A. Ivanov · 2001- 📕Functional techniques in superspaceIan Norman McArthur · 1984
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
đź”— Related topics
- Supermultiplet In theoretical physics, a supermultiplet is a representation of a supersymmetry algebra, possibly with extended supersymmetry. Then a superfield is a field…
- Super Minkowski space In mathematics and physics, super Minkowski space or Minkowski superspace is a supersymmetric extension of Minkowski space, sometimes used as the base…
- Harmonic superspace In supersymmetry, harmonic superspace is one way of dealing with supersymmetric theories with 8 real SUSY generators in a manifestly covariant manner.…
- N = 1 supersymmetric Yang–Mills theory In theoretical physics, more specifically in quantum field theory and supersymmetry, supersymmetric Yang–Mills, also known as super Yang–Mills and abbreviated…
- Superpotential In theoretical physics, the superpotential is a function in supersymmetric quantum mechanics. Given a superpotential, two "partner potentials" are derived…
- Supermanifold In mathematics and mathematical physics, supermanifolds are generalizations of manifolds in which the algebra of functions includes both commuting and…
- Supersymmetric gauge theory In theoretical physics, there are many theories with supersymmetry (SUSY) which also have internal gauge symmetries. Supersymmetric gauge theory generalizes…
- Supersymmetry algebra In theoretical physics, a supersymmetry algebra (or SUSY algebra) is a mathematical formalism for describing the relation between bosons and fermions.…