We study finite-size corrections of the ${\gamma }_i$-deformed AdS/CFT vacuum energy/anomalous dimension. In particular, we compute the leading (at large volume) and next-to-leading order (NLO) Luescher-like corrections, corresponding to single- and double-wrapping diagrams respectively. On the other hand, we solve to the NLO the twisted Thermodynamic Bethe Ansatz equations describing exactly the ground-state energy of the theory; then we compare the results of the two approaches and find exact agreement. Next, we evaluate explicitly LO and NLO corrections up to six loops at weak coupling.

Finally, I will show some work in progress about the possible conjecture of a Luescher-like formula for the double-wrapping corrections of undeformed excited states energy.