001     619415
005     20250217221548.0
024 7 _ |a delaOssa:2024cgo
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024 7 _ |a inspire:2861169
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024 7 _ |a arXiv:2412.13904
|2 arXiv
024 7 _ |a 10.3204/PUBDB-2024-07620
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037 _ _ |a PUBDB-2024-07620
041 _ _ |a English
088 _ _ |a DESY-24-197
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088 _ _ |a arXiv:2412.13904
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100 1 _ |a de la Ossa, Xenia
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245 _ _ |a $\mathcal{SW}$-algebras and strings with torsion
260 _ _ |c 2025
336 7 _ |a Preprint
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336 7 _ |a WORKING_PAPER
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336 7 _ |a Electronic Article
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336 7 _ |a preprint
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336 7 _ |a ARTICLE
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336 7 _ |a Output Types/Working Paper
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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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536 _ _ |a DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306)
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588 _ _ |a Dataset connected to INSPIRE
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700 1 _ |a Galdeano, Mateo
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700 1 _ |a Marchetto, Enrico
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910 1 _ |a Deutsches Elektronen-Synchrotron
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913 1 _ |a DE-HGF
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914 1 _ |y 2025
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