Finite-size effect of η-deformed AdS_5 x S^5 at strong coupling

Abstract

We compute Luscher corrections for a giant magnon in the η-deformed (AdS_5\times S^5)_η using the su(2|2)_q-invariant S-matrix at strong coupling and compare with the finite-size effect of the corresponding string state, derived previously. We find that these two results match and confirm that the su(2|2)_q-invariant S-matrix is describing world-sheet excitations of the η-deformed background.

Some relevant references are cited in Introduction along with explanation and added in bibliography

References in corpus (9)

• Giant Magnons
• Finite-size Effects from Giant Magnons
• On deformations of AdS_n x S^n supercosets
• Target space supergeometry of $\eta$ and $\lambda$-deformed strings
• Quantum Deformations of the One-Dimensional Hubbard Model
• Wrapping interactions at strong coupling -- the giant magnon
• On the exact spectrum and mirror duality of the (AdS_5 x S^5)_eta superstring
• Kappa-symmetry of superstring sigma model and generalized 10d supergravity equations
• Finite-size giant magnons on η-deformed AdS_5 x S^5

Cited by in corpus (4)

• $I$ in generalized supergravity
• Probing $\eta$ deformed backgrounds with $Dp$ branes
• Finite size effect from classical strings in $Ad{S}_3\times S^3$ with NS-NS flux
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes