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@ARTICLE{Martnez:642720,
author = {Martínez, Carlos Barredo and Skrzypek, Torben},
title = {{E}xploring the twisted sector of $\mathbb{{Z}}_{{L}}$
orbifolds: {M}atching $α'$-corrections to localisation},
reportid = {PUBDB-2025-05573, arXiv:2512.16984.
Imperial-TP-2025-CBM-01. DESY-25-190},
year = {2025},
note = {37 pages, 4 figures},
abstract = {We consider type IIB string theory on $\mathrm{AdS}_5\times
S^5/\mathbb{Z}_{L}$ orbifold spaces with generic $L$. Recent
localisation results in the dual 4d $\mathcal{N}=2$ circular
quiver gauge theories provide us with strong coupling
expansions of certain correlators involving twisted half-BPS
operators. To leading order, these results have been matched
to an effective theory for massless twisted string states,
which can be constructed by resolving the orbifold
singularity and considering localised supergravity modes on
the resolution cycles. Applying this reasoning to subleading
order in strong coupling, we observe that for $L\neq
2,3,4,6$, a naive reduction of the 10d $(α')^3$-correction
does not result in the correct coefficients to match the
localisation result. We explain this mismatch by the
appearance of twisted sector resonances in string amplitudes
involving external twisted sector states. We perform the
low-energy expansion of a ``twisted'' Virasoro-Shapiro
amplitude and recover the expected coefficients, suggesting
that the orbifold resolution and the low-energy expansion
can not be interchanged directly. Finally, we comment on the
long-quiver limit, $L\to\infty$, in the context of the
low-energy effective action.},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611) / DFG
project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen,
Modulräume und Integrabilität (506632645) / DFG project
G:(GEPRIS)390833306 - EXC 2121: Das Quantisierte Universum
II (390833306)},
pid = {G:(DE-HGF)POF4-611 / G:(GEPRIS)506632645 /
G:(GEPRIS)390833306},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2512.16984},
howpublished = {arXiv:2512.16984},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2512.16984;\%\%$},
doi = {10.3204/PUBDB-2025-05573},
url = {https://bib-pubdb1.desy.de/record/642720},
}