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Notes on superconformal representations in two dimensions
- Source :
- Nuclear Physics B, Vol 956, Iss, Pp 115033-(2020), Nuclear Physics
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
Abstract
- We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential aspects of superconformal theories such as stress-energy tensor, conserved current, supersymmetric deformation and supersymmetry enhancement. Character formulae for the representations are presented. We further find a collection of conserved charges that are $k$-forms under the R-symmetry, which must be part of the super Virasoro algebra with $\mathcal{N} \geq 3$ supersymmetries.<br />Comment: 61 pages, 15 figures; v2: minor edits, references added
- Subjects :
- High Energy Physics - Theory
Physics
Nuclear and High Energy Physics
Deformation (mechanics)
High Energy Physics::Phenomenology
FOS: Physical sciences
Super Virasoro algebra
Conformal map
Supersymmetry
Unitary state
High Energy Physics::Theory
Theoretical physics
Character (mathematics)
High Energy Physics - Theory (hep-th)
Tensor (intrinsic definition)
lcsh:QC770-798
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Conserved current
Subjects
Details
- ISSN :
- 05503213
- Volume :
- 956
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics B
- Accession number :
- edsair.doi.dedup.....8e65a66a5e5c2bb030c74008fc56bbe0