Preprint

PUBDB-2024-07620

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png $\mathcal{SW}$-algebras and strings with torsion

de la Ossa, X. ; Galdeano, M. (Corresponding author)Extern* ; Marchetto, E.DESY*

2025

This record in other databases:  

Please use a persistent id in citations: doi:10.3204/PUBDB-2024-07620

Report No.: DESY-24-197; arXiv:2412.13904

Abstract: We explore the connection between super $\mathcal{W}$-algebras ($\mathcal{SW}$-algebras) and $\mathrm{G}$-structures with torsion. The former are realised as symmetry algebras of strings with $\mathcal{N}=(1,0)$ supersymmetry on the worldsheet, while the latter are associated with generic string backgrounds with non-trivial Neveu-Schwarz flux $H$. In particular, we focus on manifolds featuring $\mathrm{Spin}(7)$, $\mathrm{G}_2$, $\mathrm{SU}(2)$, and $\mathrm{SU}(3)$-structures. We compare the full quantum algebras with their classical limits, obtained by studying the commutators of superconformal and $\mathcal{W}$-symmetry transformations, which preserve the action of the $(1,0)$ non-linear $\sigma$-model. We show that, at first order in the string length scale $\ell_s$, the torsion deforms some of the OPE coefficients corresponding to special holonomy through a scalar torsion class.

Note: 46 pages plus appendices, 1 figure, 6 tables

---

Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) (506632645)
3. DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) (390833306)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2025

---

Database coverage:
;

---