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On quantum corrections to semiclassical strings on AdS5× S5/ℤL orbifold backgrounds

2026/07/29 by Carlos Barredo Martínez
Physics and Astronomy · #hep-th

paper · pdf

50 pages, 5 figures, 1 table

arxiv created 2026/07/29 · arxiv updated 2026/07/31

Abstract

We consider three families of semiclassical string solutions on AdS5× S5/ℤL orbifold backgrounds which correspond to `twisted' single-trace operators in the SU(2), SU(3) and SL(2) sectors, respectively, of the dual 4d N=2 quiver gauge theory. The leading quantum correction to the classical energy of each solution is computed, and is matched, despite the lack of maximal supersymmetry, to the corresponding results from finite-size corrections to the twisted Bethe ansatz in the continuum J→∞ limit and the associated Landau-Lifshitz low-energy effective theory. The ℤL quotient allows the string to have fractional windings μ along orbifolded directions, resulting in novel stable subsectors of semiclassical states that are absent in the analogous semiclassical string solutions on AdS5× S5. The energies of these stable states connect smoothly to those of states in relevant BPS sectors as μ→0. Motivated by recent localisation results on the dual gauge theory, we comment on the `long quiver' regime L≫√λ≫ 1 from a semiclassical perspective, concluding that it reorganises the standard fixed-background semiclassical expansion.

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