Dimensional Enhancement via Supersymmetry
We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/259089 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832560802733752320 |
|---|---|
| author | M. G. Faux K. M. Iga G. D. Landweber |
| author_facet | M. G. Faux K. M. Iga G. D. Landweber |
| author_sort | M. G. Faux |
| collection | DOAJ |
| description | We explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory
of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describes “shadows” of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can “enhance” to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of “phantoms” which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics. |
| format | Article |
| id | doaj-art-3fecc4028e5448aabce9d80a146cdfb9 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-3fecc4028e5448aabce9d80a146cdfb92025-02-03T01:26:40ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/259089259089Dimensional Enhancement via SupersymmetryM. G. Faux0K. M. Iga1G. D. Landweber2Department of Physics, State University of New York, Oneonta, NY 13820, USANatural Science Division, Pepperdine University, Malibu, CA 90263, USADepartment of Mathematics, Bard College, Annandale-on-Hudson, NY 12504-5000, USAWe explain how the representation theory associated with supersymmetry in diverse dimensions is encoded within the representation theory of supersymmetry in one time-like dimension. This is enabled by algebraic criteria, derived, exhibited, and utilized in this paper, which indicate which subset of one-dimensional supersymmetric models describes “shadows” of higher-dimensional models. This formalism delineates that minority of one-dimensional supersymmetric models which can “enhance” to accommodate extra dimensions. As a consistency test, we use our formalism to reproduce well-known conclusions about supersymmetric field theories using one-dimensional reasoning exclusively. And we introduce the notion of “phantoms” which usefully accommodate higher-dimensional gauge invariance in the context of shadow multiplets in supersymmetric quantum mechanics.http://dx.doi.org/10.1155/2011/259089 |
| spellingShingle | M. G. Faux K. M. Iga G. D. Landweber Dimensional Enhancement via Supersymmetry Advances in Mathematical Physics |
| title | Dimensional Enhancement via Supersymmetry |
| title_full | Dimensional Enhancement via Supersymmetry |
| title_fullStr | Dimensional Enhancement via Supersymmetry |
| title_full_unstemmed | Dimensional Enhancement via Supersymmetry |
| title_short | Dimensional Enhancement via Supersymmetry |
| title_sort | dimensional enhancement via supersymmetry |
| url | http://dx.doi.org/10.1155/2011/259089 |
| work_keys_str_mv | AT mgfaux dimensionalenhancementviasupersymmetry AT kmiga dimensionalenhancementviasupersymmetry AT gdlandweber dimensionalenhancementviasupersymmetry |