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024 | 7 | _ | |a arXiv:2412.13904 |2 arXiv |
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037 | _ | _ | |a PUBDB-2024-07620 |
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088 | _ | _ | |a arXiv:2412.13904 |2 arXiv |
100 | 1 | _ | |a de la Ossa, Xenia |b 0 |
245 | _ | _ | |a $\mathcal{SW}$-algebras and strings with torsion |
260 | _ | _ | |c 2025 |
336 | 7 | _ | |a Preprint |b preprint |m preprint |0 PUB:(DE-HGF)25 |s 1739794001_2719579 |2 PUB:(DE-HGF) |
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336 | 7 | _ | |a Electronic Article |0 28 |2 EndNote |
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336 | 7 | _ | |a ARTICLE |2 BibTeX |
336 | 7 | _ | |a Output Types/Working Paper |2 DataCite |
500 | _ | _ | |a 46 pages plus appendices, 1 figure, 6 tables |
520 | _ | _ | |a 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. |
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700 | 1 | _ | |a Galdeano, Mateo |0 P:(DE-H253)PIP1103734 |b 1 |e Corresponding author |
700 | 1 | _ | |a Marchetto, Enrico |0 P:(DE-H253)PIP1092973 |b 2 |u desy |
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