Four-dimensional spectrum generating algebra for superstrings
Abstract
We present the spectrum generating algebra for the hybrid string with manifest N = 1 super Poincaré symmetry in R 3 , 1 × R 6 . Our Del-Giudice–Di-Vecchia–Fubini operators establish a one-to-one correspondence with the conventional superstring spectrum, while making its four-dimensional structure manifest. We also discuss part of the antifield spectrum, and introduce a simple realization of the supersymmetry charges involving the R 6 directions. As an application, we algebraically compute the helicity partition function. These results provide new tools for analyzing four-dimensional on-shell superspaces and may extend naturally to phenomenologically relevant compactifications.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Rings
Modules
and Algebras
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Physical review. D/Physical review. D.
- Publisher
- American Physical Society (APS)
- Volume
- 113
- Issue
- 2
- Publication date
- 5 January 2026
- Language
- EN